[{"abstract":[{"lang":"eng","text":"In this work, a generalized, adapted Numerov implementation capable of determining band structures of periodic quantum systems is outlined. Based on the input potential, the presented approach numerically solves the Schrödinger equation in position space at each momentum space point. Thus, in addition to the band structure, the method inherently provides information about the state functions and probability densities in position space at each momentum space point considered. The generalized, adapted Numerov framework provided reliable estimates for a variety of increasingly complex test suites in one, two, and three dimensions. The accuracy of the proposed methodology was benchmarked against results obtained for the analytically solvable Kronig-Penney model. Furthermore, the presented numerical solver was applied to a model potential representing a 2D optical lattice being a challenging application relevant, for example, in the field of quantum computing."}],"doi":"10.1021/acs.jpclett.3c01707","day":"11","isi":1,"external_id":{"pmid":["37566743"],"isi":["001048165800001"]},"date_updated":"2023-09-06T11:04:31Z","year":"2023","citation":{"ista":"Gamper J, Kluibenschedl F, Weiss AKH, Hofer TS. 2023. Accessing position space wave functions in band structure calculations of periodic systems - a generalized, adapted numerov implementation for one-, two-, and three-dimensional quantum problems. Journal of Physical Chemistry Letters. 14(33), 7395–7403.","mla":"Gamper, Jakob, et al. “Accessing Position Space Wave Functions in Band Structure Calculations of Periodic Systems - a Generalized, Adapted Numerov Implementation for One-, Two-, and Three-Dimensional Quantum Problems.” Journal of Physical Chemistry Letters, vol. 14, no. 33, American Chemical Society, 2023, pp. 7395–403, doi:10.1021/acs.jpclett.3c01707.","short":"J. Gamper, F. Kluibenschedl, A.K.H. Weiss, T.S. Hofer, Journal of Physical Chemistry Letters 14 (2023) 7395–7403.","chicago":"Gamper, Jakob, Florian Kluibenschedl, Alexander K.H. Weiss, and Thomas S. Hofer. “Accessing Position Space Wave Functions in Band Structure Calculations of Periodic Systems - a Generalized, Adapted Numerov Implementation for One-, Two-, and Three-Dimensional Quantum Problems.” Journal of Physical Chemistry Letters. American Chemical Society, 2023. https://doi.org/10.1021/acs.jpclett.3c01707.","ieee":"J. Gamper, F. Kluibenschedl, A. K. H. Weiss, and T. S. Hofer, “Accessing position space wave functions in band structure calculations of periodic systems - a generalized, adapted numerov implementation for one-, two-, and three-dimensional quantum problems,” Journal of Physical Chemistry Letters, vol. 14, no. 33. American Chemical Society, pp. 7395–7403, 2023.","ama":"Gamper J, Kluibenschedl F, Weiss AKH, Hofer TS. Accessing position space wave functions in band structure calculations of periodic systems - a generalized, adapted numerov implementation for one-, two-, and three-dimensional quantum problems. Journal of Physical Chemistry Letters. 2023;14(33):7395-7403. doi:10.1021/acs.jpclett.3c01707","apa":"Gamper, J., Kluibenschedl, F., Weiss, A. K. H., & Hofer, T. S. (2023). Accessing position space wave functions in band structure calculations of periodic systems - a generalized, adapted numerov implementation for one-, two-, and three-dimensional quantum problems. Journal of Physical Chemistry Letters. American Chemical Society. https://doi.org/10.1021/acs.jpclett.3c01707"},"ddc":["530","540"],"acknowledgement":"Financial supports for this work via a PhD scholarship for J. Gamper issued by the Leopold-Franzens-University of Innsbruck (Vicerector Prof. Dr Ulrike Tanzer) are gratefully acknowledged. The computational results presented have been achieved (in part) using the HPC infrastructure of the University of Innsbruck.","volume":14,"title":"Accessing position space wave functions in band structure calculations of periodic systems - a generalized, adapted numerov implementation for one-, two-, and three-dimensional quantum problems","intvolume":" 14","publication_status":"published","article_processing_charge":"Yes (in subscription journal)","department":[{"_id":"GradSch"}],"date_created":"2023-09-03T22:01:16Z","author":[{"full_name":"Gamper, Jakob","last_name":"Gamper","first_name":"Jakob"},{"id":"7499e70e-eb2c-11ec-b98b-f925648bc9d9","full_name":"Kluibenschedl, Florian","last_name":"Kluibenschedl","first_name":"Florian"},{"full_name":"Weiss, Alexander K.H.","last_name":"Weiss","first_name":"Alexander K.H."},{"last_name":"Hofer","first_name":"Thomas S.","full_name":"Hofer, Thomas S."}],"issue":"33","_id":"14261","pmid":1,"license":"https://creativecommons.org/licenses/by/4.0/","scopus_import":"1","article_type":"original","publisher":"American Chemical Society","file_date_updated":"2023-09-06T07:32:39Z","page":"7395-7403","quality_controlled":"1","oa":1,"publication_identifier":{"eissn":["1948-7185"]},"date_published":"2023-08-11T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","file":[{"success":1,"relation":"main_file","access_level":"open_access","creator":"dernst","file_id":"14272","file_size":4986859,"checksum":"637454e2b3a357498d8d622d241c4bf6","date_created":"2023-09-06T07:32:39Z","file_name":"2023_JourPhysChemistry_Gamper.pdf","content_type":"application/pdf","date_updated":"2023-09-06T07:32:39Z"}],"month":"08","oa_version":"Published Version","publication":"Journal of Physical Chemistry Letters","has_accepted_license":"1","language":[{"iso":"eng"}]},{"scopus_import":"1","_id":"14274","pmid":1,"issue":"87","author":[{"last_name":"Alanko","first_name":"Jonna H","full_name":"Alanko, Jonna H","orcid":"0000-0002-7698-3061","id":"2CC12E8C-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Ucar, Mehmet C","orcid":"0000-0003-0506-4217","last_name":"Ucar","first_name":"Mehmet C","id":"50B2A802-6007-11E9-A42B-EB23E6697425"},{"id":"3795523E-F248-11E8-B48F-1D18A9856A87","last_name":"Canigova","first_name":"Nikola","full_name":"Canigova, Nikola","orcid":"0000-0002-8518-5926"},{"id":"489E3F00-F248-11E8-B48F-1D18A9856A87","last_name":"Stopp","first_name":"Julian A","full_name":"Stopp, Julian A"},{"last_name":"Schwarz","first_name":"Jan","full_name":"Schwarz, Jan","id":"346C1EC6-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Jack","last_name":"Merrin","orcid":"0000-0001-5145-4609","full_name":"Merrin, Jack","id":"4515C308-F248-11E8-B48F-1D18A9856A87"},{"id":"3A9DB764-F248-11E8-B48F-1D18A9856A87","first_name":"Edouard B","last_name":"Hannezo","orcid":"0000-0001-6005-1561","full_name":"Hannezo, Edouard B"},{"id":"41E9FBEA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6620-9179","full_name":"Sixt, Michael K","first_name":"Michael K","last_name":"Sixt"}],"date_created":"2023-09-06T08:07:51Z","article_processing_charge":"No","department":[{"_id":"MiSi"},{"_id":"EdHa"},{"_id":"NanoFab"}],"publication_status":"published","intvolume":" 8","title":"CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration","ec_funded":1,"quality_controlled":"1","publisher":"American Association for the Advancement of Science","article_type":"original","citation":{"ieee":"J. H. Alanko et al., “CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration,” Science Immunology, vol. 8, no. 87. American Association for the Advancement of Science, 2023.","chicago":"Alanko, Jonna H, Mehmet C Ucar, Nikola Canigova, Julian A Stopp, Jan Schwarz, Jack Merrin, Edouard B Hannezo, and Michael K Sixt. “CCR7 Acts as Both a Sensor and a Sink for CCL19 to Coordinate Collective Leukocyte Migration.” Science Immunology. American Association for the Advancement of Science, 2023. https://doi.org/10.1126/sciimmunol.adc9584.","ama":"Alanko JH, Ucar MC, Canigova N, et al. CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration. Science Immunology. 2023;8(87). doi:10.1126/sciimmunol.adc9584","apa":"Alanko, J. H., Ucar, M. C., Canigova, N., Stopp, J. A., Schwarz, J., Merrin, J., … Sixt, M. K. (2023). CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration. Science Immunology. American Association for the Advancement of Science. https://doi.org/10.1126/sciimmunol.adc9584","ista":"Alanko JH, Ucar MC, Canigova N, Stopp JA, Schwarz J, Merrin J, Hannezo EB, Sixt MK. 2023. CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration. Science Immunology. 8(87), adc9584.","short":"J.H. Alanko, M.C. Ucar, N. Canigova, J.A. Stopp, J. Schwarz, J. Merrin, E.B. Hannezo, M.K. Sixt, Science Immunology 8 (2023).","mla":"Alanko, Jonna H., et al. “CCR7 Acts as Both a Sensor and a Sink for CCL19 to Coordinate Collective Leukocyte Migration.” Science Immunology, vol. 8, no. 87, adc9584, American Association for the Advancement of Science, 2023, doi:10.1126/sciimmunol.adc9584."},"year":"2023","date_updated":"2023-12-21T14:30:01Z","external_id":{"pmid":["37656776"],"isi":["001062110600003"]},"isi":1,"day":"01","doi":"10.1126/sciimmunol.adc9584","abstract":[{"text":"Immune responses rely on the rapid and coordinated migration of leukocytes. Whereas it is well established that single-cell migration is often guided by gradients of chemokines and other chemoattractants, it remains poorly understood how these gradients are generated, maintained, and modulated. By combining experimental data with theory on leukocyte chemotaxis guided by the G protein–coupled receptor (GPCR) CCR7, we demonstrate that in addition to its role as the sensory receptor that steers migration, CCR7 also acts as a generator and a modulator of chemotactic gradients. Upon exposure to the CCR7 ligand CCL19, dendritic cells (DCs) effectively internalize the receptor and ligand as part of the canonical GPCR desensitization response. We show that CCR7 internalization also acts as an effective sink for the chemoattractant, dynamically shaping the spatiotemporal distribution of the chemokine. This mechanism drives complex collective migration patterns, enabling DCs to create or sharpen chemotactic gradients. We further show that these self-generated gradients can sustain the long-range guidance of DCs, adapt collective migration patterns to the size and geometry of the environment, and provide a guidance cue for other comigrating cells. Such a dual role of CCR7 as a GPCR that both senses and consumes its ligand can thus provide a novel mode of cellular self-organization.","lang":"eng"}],"acknowledgement":"We thank I. de Vries and the Scientific Service Units (Life Sciences, Bioimaging, Nanofabrication, Preclinical and Miba Machine Shop) of the Institute of Science and Technology Austria for excellent support, as well as all the rotation students assisting in the laboratory work (B. Zens, H. Schön, and D. Babic).\r\nThis work was supported by grants from the European Research Council under the European Union’s Horizon 2020 research to M.S. (grant agreement no. 724373) and to E.H. (grant agreement no. 851288), and a grant by the Austrian Science Fund (DK Nanocell W1250-B20) to M.S. J.A. was supported by the Jenny and Antti Wihuri Foundation and Research Council of Finland's Flagship Programme InFLAMES (decision number: 357910). M.C.U. was supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 754411.","volume":8,"publication":"Science Immunology","project":[{"_id":"25FE9508-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"724373","name":"Cellular navigation along spatial gradients"},{"call_identifier":"H2020","_id":"05943252-7A3F-11EA-A408-12923DDC885E","grant_number":"851288","name":"Design Principles of Branching Morphogenesis"},{"call_identifier":"FWF","_id":"265E2996-B435-11E9-9278-68D0E5697425","grant_number":"W01250-B20","name":"Nano-Analytics of Cellular Systems"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"oa_version":"Published Version","article_number":"adc9584","month":"09","keyword":["General Medicine","Immunology"],"language":[{"iso":"eng"}],"type":"journal_article","date_published":"2023-09-01T00:00:00Z","publication_identifier":{"issn":["2470-9468"]},"oa":1,"main_file_link":[{"url":"https://doi.org/10.1126/sciimmunol.adc9584","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","related_material":{"record":[{"status":"public","relation":"research_data","id":"14279"},{"status":"public","relation":"dissertation_contains","id":"14697"}]}},{"ddc":["570"],"volume":1,"acknowledgement":"We thank all members of the Hannezo group for discussions and suggestions, as well as Sound Wai Phow for technical assistance. This work received funding from the European Research Council under the EU Horizon 2020 research and innovation program Grant Agreement No. 851288 (E.H.), JSPS KAKENHI Grant No. 21H05290, and the Ministry of Education under the Research Centres of Excellence program through the MBI at NUS.","citation":{"chicago":"Boocock, Daniel R, Tsuyoshi Hirashima, and Edouard B Hannezo. “Interplay between Mechanochemical Patterning and Glassy Dynamics in Cellular Monolayers.” PRX Life. American Physical Society, 2023. https://doi.org/10.1103/prxlife.1.013001.","ieee":"D. R. Boocock, T. Hirashima, and E. B. Hannezo, “Interplay between mechanochemical patterning and glassy dynamics in cellular monolayers,” PRX Life, vol. 1, no. 1. American Physical Society, 2023.","ama":"Boocock DR, Hirashima T, Hannezo EB. Interplay between mechanochemical patterning and glassy dynamics in cellular monolayers. PRX Life. 2023;1(1). doi:10.1103/prxlife.1.013001","apa":"Boocock, D. R., Hirashima, T., & Hannezo, E. B. (2023). Interplay between mechanochemical patterning and glassy dynamics in cellular monolayers. PRX Life. American Physical Society. https://doi.org/10.1103/prxlife.1.013001","ista":"Boocock DR, Hirashima T, Hannezo EB. 2023. Interplay between mechanochemical patterning and glassy dynamics in cellular monolayers. PRX Life. 1(1), 013001.","short":"D.R. Boocock, T. Hirashima, E.B. Hannezo, PRX Life 1 (2023).","mla":"Boocock, Daniel R., et al. “Interplay between Mechanochemical Patterning and Glassy Dynamics in Cellular Monolayers.” PRX Life, vol. 1, no. 1, 013001, American Physical Society, 2023, doi:10.1103/prxlife.1.013001."},"year":"2023","date_updated":"2023-09-15T06:39:17Z","abstract":[{"lang":"eng","text":"Living tissues are characterized by an intrinsically mechanochemical interplay of active physical forces and complex biochemical signaling pathways. Either feature alone can give rise to complex emergent phenomena, for example, mechanically driven glassy dynamics and rigidity transitions, or chemically driven reaction-diffusion instabilities. An important question is how to quantitatively assess the contribution of these different cues to the large-scale dynamics of biological materials. We address this in Madin-Darby canine kidney (MDCK) monolayers, considering both mechanochemical feedback between extracellular signal-regulated kinase (ERK) signaling activity and cellular density as well as a mechanically active tissue rheology via a self-propelled vertex model. We show that the relative strength of active migration forces to mechanochemical couplings controls a transition from a uniform active glass to periodic spatiotemporal waves. We parametrize the model from published experimental data sets on MDCK monolayers and use it to make new predictions on the correlation functions of cellular dynamics and the dynamics of topological defects associated with the oscillatory phase of cells. Interestingly, MDCK monolayers are best described by an intermediary parameter region in which both mechanochemical couplings and noisy active propulsion have a strong influence on the dynamics. Finally, we study how tissue rheology and ERK waves produce feedback on one another and uncover a mechanism via which tissue fluidity can be controlled by mechanochemical waves at both the local and global levels."}],"day":"20","doi":"10.1103/prxlife.1.013001","file_date_updated":"2023-09-15T06:30:50Z","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"American Physical Society","issue":"1","author":[{"full_name":"Boocock, Daniel R","orcid":"0000-0002-1585-2631","last_name":"Boocock","first_name":"Daniel R","id":"453AF628-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Tsuyoshi","last_name":"Hirashima","full_name":"Hirashima, Tsuyoshi"},{"id":"3A9DB764-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6005-1561","full_name":"Hannezo, Edouard B","first_name":"Edouard B","last_name":"Hannezo"}],"_id":"14277","intvolume":" 1","title":"Interplay between mechanochemical patterning and glassy dynamics in cellular monolayers","department":[{"_id":"EdHa"}],"article_processing_charge":"Yes","date_created":"2023-09-06T08:30:59Z","publication_status":"published","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"date_created":"2023-09-15T06:30:50Z","checksum":"f881d98c89eb9f1aa136d7b781511553","file_size":2559520,"date_updated":"2023-09-15T06:30:50Z","content_type":"application/pdf","file_name":"2023_PRXLife_Boocock.pdf","relation":"main_file","success":1,"access_level":"open_access","file_id":"14335","creator":"dernst"}],"type":"journal_article","date_published":"2023-07-20T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["2835-8279"]},"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"PRX Life","article_number":"013001","month":"07","project":[{"grant_number":"851288","name":"Design Principles of Branching Morphogenesis","_id":"05943252-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020"}],"oa_version":"Published Version"},{"publisher":"Zenodo","date_created":"2023-09-06T08:39:25Z","department":[{"_id":"EdHa"}],"article_processing_charge":"No","oa_version":"Published Version","title":"Source data for the manuscript \"CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration\"","month":"07","has_accepted_license":"1","_id":"14279","author":[{"id":"50B2A802-6007-11E9-A42B-EB23E6697425","last_name":"Ucar","first_name":"Mehmet C","full_name":"Ucar, Mehmet C","orcid":"0000-0003-0506-4217"}],"main_file_link":[{"url":"https://doi.org/10.5281/zenodo.8133960","open_access":"1"}],"status":"public","ddc":["570"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"status":"public","relation":"used_in_publication","id":"14274"}]},"day":"11","doi":"10.5281/ZENODO.8133960","oa":1,"abstract":[{"lang":"eng","text":"The zip file includes source data used in the manuscript \"CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration\", as well as a representative Jupyter notebook to reproduce the main figures. Please see the preprint on bioRxiv and the DOI link there to access the final published version. Note the title change between the preprint and the published manuscript.\r\nA sample script for particle-based simulations of collective chemotaxis by self-generated gradients is also included (see Self-generated_chemotaxis_sample_script.ipynb) to generate exemplary cell trajectories. A detailed description of the simulation setup is provided in the supplementary information of the manuscipt."}],"year":"2023","citation":{"mla":"Ucar, Mehmet C. Source Data for the Manuscript “CCR7 Acts as Both a Sensor and a Sink for CCL19 to Coordinate Collective Leukocyte Migration.” Zenodo, 2023, doi:10.5281/ZENODO.8133960.","short":"M.C. Ucar, (2023).","ista":"Ucar MC. 2023. Source data for the manuscript ‘CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration’, Zenodo, 10.5281/ZENODO.8133960.","apa":"Ucar, M. C. (2023). Source data for the manuscript “CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration.” Zenodo. https://doi.org/10.5281/ZENODO.8133960","ama":"Ucar MC. Source data for the manuscript “CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration.” 2023. doi:10.5281/ZENODO.8133960","ieee":"M. C. Ucar, “Source data for the manuscript ‘CCR7 acts as both a sensor and a sink for CCL19 to coordinate collective leukocyte migration.’” Zenodo, 2023.","chicago":"Ucar, Mehmet C. “Source Data for the Manuscript ‘CCR7 Acts as Both a Sensor and a Sink for CCL19 to Coordinate Collective Leukocyte Migration.’” Zenodo, 2023. https://doi.org/10.5281/ZENODO.8133960."},"date_updated":"2023-10-03T11:42:58Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"research_data_reference","date_published":"2023-07-11T00:00:00Z"},{"author":[{"full_name":"Radler, Philipp","orcid":"0000-0001-9198-2182 ","last_name":"Radler","first_name":"Philipp","id":"40136C2A-F248-11E8-B48F-1D18A9856A87"}],"_id":"14280","alternative_title":["ISTA Thesis"],"title":"Spatiotemporal signaling during assembly of the bacterial divisome","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"MaLo"}],"article_processing_charge":"No","date_created":"2023-09-06T10:58:25Z","file_date_updated":"2023-10-04T10:28:35Z","page":"156","ec_funded":1,"publisher":"Institute of Science and Technology Austria","date_updated":"2024-02-21T12:35:18Z","citation":{"chicago":"Radler, Philipp. “Spatiotemporal Signaling during Assembly of the Bacterial Divisome.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14280.","ieee":"P. Radler, “Spatiotemporal signaling during assembly of the bacterial divisome,” Institute of Science and Technology Austria, 2023.","apa":"Radler, P. (2023). Spatiotemporal signaling during assembly of the bacterial divisome. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14280","ama":"Radler P. Spatiotemporal signaling during assembly of the bacterial divisome. 2023. doi:10.15479/at:ista:14280","ista":"Radler P. 2023. Spatiotemporal signaling during assembly of the bacterial divisome. Institute of Science and Technology Austria.","short":"P. Radler, Spatiotemporal Signaling during Assembly of the Bacterial Divisome, Institute of Science and Technology Austria, 2023.","mla":"Radler, Philipp. Spatiotemporal Signaling during Assembly of the Bacterial Divisome. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14280."},"year":"2023","abstract":[{"lang":"eng","text":"Cell division in Escherichia coli is performed by the divisome, a multi-protein complex composed of more than 30 proteins. The divisome spans from the cytoplasm through the inner membrane to the cell wall and the outer membrane. Divisome assembly is initiated by a cytoskeletal structure, the so-called Z-ring, which localizes at the center of the E. coli cell and determines the position of the future cell septum. The Z-ring is composed of the highly conserved bacterial tubulin homologue FtsZ, which forms treadmilling filaments. These filaments are recruited to the inner membrane by FtsA, a highly conserved bacterial actin homologue. FtsA interacts with other proteins in the periplasm and thus connects the cytoplasmic and periplasmic components of the divisome. \r\nA previous model postulated that FtsA regulates maturation of the divisome by switching from an oligomeric, inactive state to a monomeric and active state. This model was based mostly on in vivo studies, as a biochemical characterization of FtsA has been hampered by difficulties in purifying the protein. Here, we studied FtsA using an in vitro reconstitution approach and aimed to answer two questions: (i) How are dynamics from cytoplasmic, treadmilling FtsZ filaments coupled to proteins acting in the periplasmic space and (ii) How does FtsA regulate the maturation of the divisome?\r\nWe found that the cytoplasmic peptides of the transmembrane proteins FtsN and FtsQ interact directly with FtsA and can follow the spatiotemporal signal of FtsA/Z filaments. When we investigated the underlying mechanism by imaging single molecules of FtsNcyto, we found the peptide to interact transiently with FtsA. An in depth analysis of the single molecule trajectories helped to postulate a model where PG synthases follow the dynamics of FtsZ by a diffusion and capture mechanism. \r\nFollowing up on these findings we were interested in how the self-interaction of FtsA changes when it encounters FtsNcyto and if we can confirm the proposed oligomer-monomer switch. For this, we compared the behavior of the previously identified, hyperactive mutant FtsA R286W with wildtype FtsA. The mutant outperforms WT in mirroring and transmitting the spatiotemporal signal of treadmilling FtsZ filaments. Surprisingly however, we found that this was not due to a difference in the self-interaction strength of the two variants, but a difference in their membrane residence time. Furthermore, in contrast to our expectations, upon binding of FtsNcyto the measured self-interaction of FtsA actually increased. \r\nWe propose that FtsNcyto induces a rearrangement of the oligomeric architecture of FtsA. In further consequence this change leads to more persistent FtsZ filaments which results in a defined signalling zone, allowing formation of the mature divisome. The observed difference between FtsA WT and R286W is due to the vastly different membrane turnover of the proteins. R286W cycles 5-10x faster compared to WT which allows to sample FtsZ filaments at faster frequencies. These findings can explain the observed differences in toxicity for overexpression of FtsA WT and R286W and help to understand how FtsA regulates divisome maturation."}],"doi":"10.15479/at:ista:14280","degree_awarded":"PhD","day":"25","ddc":["572"],"has_accepted_license":"1","month":"09","oa_version":"Published Version","acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"project":[{"call_identifier":"H2020","_id":"2595697A-B435-11E9-9278-68D0E5697425","name":"Self-Organization of the Bacterial Cell","grant_number":"679239"},{"_id":"fc38323b-9c52-11eb-aca3-ff8afb4a011d","name":"Understanding bacterial cell division by in vitro\r\nreconstitution","grant_number":"P34607"},{"grant_number":"ALTF 2015-1163","name":"Synthesis of bacterial cell wall","_id":"2596EAB6-B435-11E9-9278-68D0E5697425"},{"_id":"259B655A-B435-11E9-9278-68D0E5697425","name":"Reconstitution of bacterial cell wall sythesis","grant_number":"LT000824/2016"}],"language":[{"iso":"eng"}],"keyword":["Cell Division","Reconstitution","FtsZ","FtsA","Divisome","E.coli"],"date_published":"2023-09-25T00:00:00Z","type":"dissertation","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"supervisor":[{"orcid":"0000-0001-7309-9724","full_name":"Loose, Martin","first_name":"Martin","last_name":"Loose","id":"462D4284-F248-11E8-B48F-1D18A9856A87"}],"publication_identifier":{"isbn":["978-3-99078-033-6"],"issn":["2663-337X"]},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","related_material":{"record":[{"id":"11373","relation":"part_of_dissertation","status":"public"},{"id":"7387","relation":"part_of_dissertation","status":"public"},{"id":"10934","relation":"research_data","status":"public"}]},"status":"public","file":[{"file_id":"14390","creator":"pradler","access_level":"closed","relation":"source_file","date_updated":"2023-10-04T10:28:35Z","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","file_name":"PhD Thesis_Philipp Radler_20231004.docx","date_created":"2023-10-04T10:11:53Z","checksum":"87eef11fbc5c7df0826f12a3a629b444","file_size":114932847},{"creator":"pradler","file_id":"14391","relation":"main_file","access_level":"closed","file_name":"PhD Thesis_Philipp Radler_20231004.pdf","content_type":"application/pdf","date_updated":"2023-10-04T10:28:35Z","file_size":37838778,"checksum":"3253e099b7126469d941fd9419d68b4f","embargo_to":"open_access","embargo":"2024-10-04","date_created":"2023-10-04T10:11:21Z"}]},{"language":[{"iso":"eng"}],"month":"08","oa_version":"None","publication":"Science","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"eissn":["1095-9203"],"issn":["0036-8075"]},"type":"journal_article","date_published":"2023-08-17T00:00:00Z","article_type":"original","publisher":"American Association for the Advancement of Science","quality_controlled":"1","page":"754-760","intvolume":" 381","title":"Design of stimulus-responsive two-state hinge proteins","date_created":"2023-09-06T12:04:23Z","article_processing_charge":"No","publication_status":"published","issue":"6659","author":[{"full_name":"Praetorius, Florian M","first_name":"Florian M","last_name":"Praetorius","id":"dfec9381-4341-11ee-8fd8-faa02bba7d62"},{"full_name":"Leung, Philip J. Y.","first_name":"Philip J. Y.","last_name":"Leung"},{"last_name":"Tessmer","first_name":"Maxx H.","full_name":"Tessmer, Maxx H."},{"first_name":"Adam","last_name":"Broerman","full_name":"Broerman, Adam"},{"full_name":"Demakis, Cullen","first_name":"Cullen","last_name":"Demakis"},{"full_name":"Dishman, Acacia F.","last_name":"Dishman","first_name":"Acacia F."},{"full_name":"Pillai, Arvind","last_name":"Pillai","first_name":"Arvind"},{"first_name":"Abbas","last_name":"Idris","full_name":"Idris, Abbas"},{"first_name":"David","last_name":"Juergens","full_name":"Juergens, David"},{"last_name":"Dauparas","first_name":"Justas","full_name":"Dauparas, Justas"},{"full_name":"Li, Xinting","first_name":"Xinting","last_name":"Li"},{"last_name":"Levine","first_name":"Paul M.","full_name":"Levine, Paul M."},{"first_name":"Mila","last_name":"Lamb","full_name":"Lamb, Mila"},{"last_name":"Ballard","first_name":"Ryanne K.","full_name":"Ballard, Ryanne K."},{"last_name":"Gerben","first_name":"Stacey R.","full_name":"Gerben, Stacey R."},{"first_name":"Hannah","last_name":"Nguyen","full_name":"Nguyen, Hannah"},{"full_name":"Kang, Alex","first_name":"Alex","last_name":"Kang"},{"full_name":"Sankaran, Banumathi","last_name":"Sankaran","first_name":"Banumathi"},{"full_name":"Bera, Asim K.","last_name":"Bera","first_name":"Asim K."},{"full_name":"Volkman, Brian F.","first_name":"Brian F.","last_name":"Volkman"},{"last_name":"Nivala","first_name":"Jeff","full_name":"Nivala, Jeff"},{"full_name":"Stoll, Stefan","last_name":"Stoll","first_name":"Stefan"},{"full_name":"Baker, David","last_name":"Baker","first_name":"David"}],"scopus_import":"1","_id":"14281","pmid":1,"extern":"1","volume":381,"abstract":[{"lang":"eng","text":"In nature, proteins that switch between two conformations in response to environmental stimuli structurally transduce biochemical information in a manner analogous to how transistors control information flow in computing devices. Designing proteins with two distinct but fully structured conformations is a challenge for protein design as it requires sculpting an energy landscape with two distinct minima. Here we describe the design of “hinge” proteins that populate one designed state in the absence of ligand and a second designed state in the presence of ligand. X-ray crystallography, electron microscopy, double electron-electron resonance spectroscopy, and binding measurements demonstrate that despite the significant structural differences the two states are designed with atomic level accuracy and that the conformational and binding equilibria are closely coupled."}],"day":"17","doi":"10.1126/science.adg7731","external_id":{"pmid":["37590357"]},"citation":{"ama":"Praetorius FM, Leung PJY, Tessmer MH, et al. Design of stimulus-responsive two-state hinge proteins. Science. 2023;381(6659):754-760. doi:10.1126/science.adg7731","apa":"Praetorius, F. M., Leung, P. J. Y., Tessmer, M. H., Broerman, A., Demakis, C., Dishman, A. F., … Baker, D. (2023). Design of stimulus-responsive two-state hinge proteins. Science. American Association for the Advancement of Science. https://doi.org/10.1126/science.adg7731","ieee":"F. M. Praetorius et al., “Design of stimulus-responsive two-state hinge proteins,” Science, vol. 381, no. 6659. American Association for the Advancement of Science, pp. 754–760, 2023.","chicago":"Praetorius, Florian M, Philip J. Y. Leung, Maxx H. Tessmer, Adam Broerman, Cullen Demakis, Acacia F. Dishman, Arvind Pillai, et al. “Design of Stimulus-Responsive Two-State Hinge Proteins.” Science. American Association for the Advancement of Science, 2023. https://doi.org/10.1126/science.adg7731.","short":"F.M. Praetorius, P.J.Y. Leung, M.H. Tessmer, A. Broerman, C. Demakis, A.F. Dishman, A. Pillai, A. Idris, D. Juergens, J. Dauparas, X. Li, P.M. Levine, M. Lamb, R.K. Ballard, S.R. Gerben, H. Nguyen, A. Kang, B. Sankaran, A.K. Bera, B.F. Volkman, J. Nivala, S. Stoll, D. Baker, Science 381 (2023) 754–760.","mla":"Praetorius, Florian M., et al. “Design of Stimulus-Responsive Two-State Hinge Proteins.” Science, vol. 381, no. 6659, American Association for the Advancement of Science, 2023, pp. 754–60, doi:10.1126/science.adg7731.","ista":"Praetorius FM, Leung PJY, Tessmer MH, Broerman A, Demakis C, Dishman AF, Pillai A, Idris A, Juergens D, Dauparas J, Li X, Levine PM, Lamb M, Ballard RK, Gerben SR, Nguyen H, Kang A, Sankaran B, Bera AK, Volkman BF, Nivala J, Stoll S, Baker D. 2023. Design of stimulus-responsive two-state hinge proteins. Science. 381(6659), 754–760."},"year":"2023","date_updated":"2023-11-07T12:42:09Z"},{"publication":"bioRxiv","_id":"14294","author":[{"first_name":"Natasha I","last_name":"Edman","full_name":"Edman, Natasha I"},{"full_name":"Redler, Rachel L","last_name":"Redler","first_name":"Rachel L"},{"full_name":"Phal, Ashish","first_name":"Ashish","last_name":"Phal"},{"full_name":"Schlichthaerle, Thomas","first_name":"Thomas","last_name":"Schlichthaerle"},{"full_name":"Srivatsan, Sanjay R","last_name":"Srivatsan","first_name":"Sanjay R"},{"last_name":"Etemadi","first_name":"Ali","full_name":"Etemadi, Ali"},{"first_name":"Seong","last_name":"An","full_name":"An, Seong"},{"first_name":"Andrew","last_name":"Favor","full_name":"Favor, Andrew"},{"last_name":"Ehnes","first_name":"Devon","full_name":"Ehnes, Devon"},{"first_name":"Zhe","last_name":"Li","full_name":"Li, Zhe"},{"last_name":"Praetorius","first_name":"Florian M","full_name":"Praetorius, Florian M","id":"dfec9381-4341-11ee-8fd8-faa02bba7d62"},{"full_name":"Gordon, Max","first_name":"Max","last_name":"Gordon"},{"last_name":"Yang","first_name":"Wei","full_name":"Yang, Wei"},{"full_name":"Coventry, Brian","last_name":"Coventry","first_name":"Brian"},{"full_name":"Hicks, Derrick R","first_name":"Derrick R","last_name":"Hicks"},{"first_name":"Longxing","last_name":"Cao","full_name":"Cao, Longxing"},{"full_name":"Bethel, Neville","first_name":"Neville","last_name":"Bethel"},{"full_name":"Heine, Piper","first_name":"Piper","last_name":"Heine"},{"first_name":"Analisa N","last_name":"Murray","full_name":"Murray, Analisa N"},{"first_name":"Stacey","last_name":"Gerben","full_name":"Gerben, Stacey"},{"full_name":"Carter, Lauren","first_name":"Lauren","last_name":"Carter"},{"full_name":"Miranda, Marcos","last_name":"Miranda","first_name":"Marcos"},{"full_name":"Negahdari, Babak","first_name":"Babak","last_name":"Negahdari"},{"full_name":"Lee, Sangwon","last_name":"Lee","first_name":"Sangwon"},{"full_name":"Trapnell, Cole","last_name":"Trapnell","first_name":"Cole"},{"full_name":"Stewart, Lance","first_name":"Lance","last_name":"Stewart"},{"last_name":"Ekiert","first_name":"Damian C","full_name":"Ekiert, Damian C"},{"full_name":"Schlessinger, Joseph","last_name":"Schlessinger","first_name":"Joseph"},{"full_name":"Shendure, Jay","last_name":"Shendure","first_name":"Jay"},{"full_name":"Bhabha, Gira","first_name":"Gira","last_name":"Bhabha"},{"full_name":"Ruohola-Baker, Hannele","first_name":"Hannele","last_name":"Ruohola-Baker"},{"first_name":"David","last_name":"Baker","full_name":"Baker, David"}],"article_processing_charge":"No","date_created":"2023-09-06T12:31:49Z","oa_version":"Preprint","publication_status":"submitted","title":"Modulation of FGF pathway signaling and vascular differentiation using designed oligomeric assemblies","month":"03","language":[{"iso":"eng"}],"citation":{"ama":"Edman NI, Redler RL, Phal A, et al. Modulation of FGF pathway signaling and vascular differentiation using designed oligomeric assemblies. bioRxiv. doi:10.1101/2023.03.14.532666","apa":"Edman, N. I., Redler, R. L., Phal, A., Schlichthaerle, T., Srivatsan, S. R., Etemadi, A., … Baker, D. (n.d.). Modulation of FGF pathway signaling and vascular differentiation using designed oligomeric assemblies. bioRxiv. https://doi.org/10.1101/2023.03.14.532666","ieee":"N. I. Edman et al., “Modulation of FGF pathway signaling and vascular differentiation using designed oligomeric assemblies,” bioRxiv. .","chicago":"Edman, Natasha I, Rachel L Redler, Ashish Phal, Thomas Schlichthaerle, Sanjay R Srivatsan, Ali Etemadi, Seong An, et al. “Modulation of FGF Pathway Signaling and Vascular Differentiation Using Designed Oligomeric Assemblies.” BioRxiv, n.d. https://doi.org/10.1101/2023.03.14.532666.","mla":"Edman, Natasha I., et al. “Modulation of FGF Pathway Signaling and Vascular Differentiation Using Designed Oligomeric Assemblies.” BioRxiv, doi:10.1101/2023.03.14.532666.","short":"N.I. Edman, R.L. Redler, A. Phal, T. Schlichthaerle, S.R. Srivatsan, A. Etemadi, S. An, A. Favor, D. Ehnes, Z. Li, F.M. Praetorius, M. Gordon, W. Yang, B. Coventry, D.R. Hicks, L. Cao, N. Bethel, P. Heine, A.N. Murray, S. Gerben, L. Carter, M. Miranda, B. Negahdari, S. Lee, C. Trapnell, L. Stewart, D.C. Ekiert, J. Schlessinger, J. Shendure, G. Bhabha, H. Ruohola-Baker, D. Baker, BioRxiv (n.d.).","ista":"Edman NI, Redler RL, Phal A, Schlichthaerle T, Srivatsan SR, Etemadi A, An S, Favor A, Ehnes D, Li Z, Praetorius FM, Gordon M, Yang W, Coventry B, Hicks DR, Cao L, Bethel N, Heine P, Murray AN, Gerben S, Carter L, Miranda M, Negahdari B, Lee S, Trapnell C, Stewart L, Ekiert DC, Schlessinger J, Shendure J, Bhabha G, Ruohola-Baker H, Baker D. Modulation of FGF pathway signaling and vascular differentiation using designed oligomeric assemblies. bioRxiv, 10.1101/2023.03.14.532666."},"year":"2023","date_updated":"2023-11-07T12:21:58Z","type":"preprint","date_published":"2023-03-15T00:00:00Z","day":"15","doi":"10.1101/2023.03.14.532666","oa":1,"abstract":[{"lang":"eng","text":"Growth factors and cytokines signal by binding to the extracellular domains of their receptors and drive association and transphosphorylation of the receptor intracellular tyrosine kinase domains, initiating downstream signaling cascades. To enable systematic exploration of how receptor valency and geometry affects signaling outcomes, we designed cyclic homo-oligomers with up to 8 subunits using repeat protein building blocks that can be modularly extended. By incorporating a de novo designed fibroblast growth-factor receptor (FGFR) binding module into these scaffolds, we generated a series of synthetic signaling ligands that exhibit potent valency- and geometry-dependent Ca2+ release and MAPK pathway activation. The high specificity of the designed agonists reveal distinct roles for two FGFR splice variants in driving endothelial and mesenchymal cell fates during early vascular development. The ability to incorporate receptor binding domains and repeat extensions in a modular fashion makes our designed scaffolds broadly useful for probing and manipulating cellular signaling pathways."}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1101/2023.03.14.532666"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","extern":"1"},{"issue":"8","author":[{"id":"560601DA-8D36-11E9-A136-7AC1E5697425","first_name":"Florian Alexander","last_name":"Wilsch","orcid":"0000-0001-7302-8256","full_name":"Wilsch, Florian Alexander"}],"_id":"9034","intvolume":" 2023","title":"Integral points of bounded height on a log Fano threefold","article_processing_charge":"No","date_created":"2021-01-22T09:31:09Z","department":[{"_id":"TiBr"}],"publication_status":"published","quality_controlled":"1","page":"6780-6808","article_type":"original","publisher":"Oxford Academic","external_id":{"isi":["000773116000001"],"arxiv":["1901.08503"]},"isi":1,"year":"2023","citation":{"ieee":"F. A. Wilsch, “Integral points of bounded height on a log Fano threefold,” International Mathematics Research Notices, vol. 2023, no. 8. Oxford Academic, pp. 6780–6808, 2023.","chicago":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” International Mathematics Research Notices. Oxford Academic, 2023. https://doi.org/10.1093/imrn/rnac048.","ama":"Wilsch FA. Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. 2023;2023(8):6780-6808. doi:10.1093/imrn/rnac048","apa":"Wilsch, F. A. (2023). Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. Oxford Academic. https://doi.org/10.1093/imrn/rnac048","ista":"Wilsch FA. 2023. Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. 2023(8), 6780–6808.","short":"F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.","mla":"Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” International Mathematics Research Notices, vol. 2023, no. 8, Oxford Academic, 2023, pp. 6780–808, doi:10.1093/imrn/rnac048."},"date_updated":"2023-08-01T12:23:55Z","abstract":[{"text":"We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of P3 outside certain planes using universal torsors.","lang":"eng"}],"day":"01","arxiv":1,"doi":"10.1093/imrn/rnac048","acknowledgement":"This work was supported by the German Academic Exchange Service. Parts of this article were prepared at the Institut de Mathémathiques de Jussieu—Paris Rive Gauche. I wish to thank Antoine Chambert-Loir for his remarks and the institute for its hospitality, as well as the anonymous referee for several useful remarks and suggestions for improvements.","volume":2023,"publication":"International Mathematics Research Notices","month":"04","oa_version":"Preprint","language":[{"iso":"eng"}],"type":"journal_article","date_published":"2023-04-01T00:00:00Z","oa":1,"publication_identifier":{"issn":["1073-7928"],"eissn":["1687-0247"]},"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1901.08503"}]},{"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s10711-023-00862-3"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","status":"public","publication_identifier":{"issn":["0046-5755"],"eissn":["1572-9168"]},"oa":1,"date_published":"2023-11-17T00:00:00Z","type":"journal_article","language":[{"iso":"eng"}],"oa_version":"Published Version","month":"11","article_number":"15","publication":"Geometriae Dedicata","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). This work was started while both authors were employed at the University of Innsbruck and enjoyed the full support of Austrian Science Fund (FWF): P 30902-N35. It was continued when the first named author was employed at University of Leipzig and the second named author was employed at Institute of Science and Technology of Austria, where he was supported by an IST Fellowship.","arxiv":1,"doi":"10.1007/s10711-023-00862-3","day":"17","abstract":[{"text":"We introduce a hierachy of equivalence relations on the set of separated nets of a given Euclidean space, indexed by concave increasing functions ϕ:(0,∞)→(0,∞). Two separated nets are called ϕ-displacement equivalent if, roughly speaking, there is a bijection between them which, for large radii R, displaces points of norm at most R by something of order at most ϕ(R). We show that the spectrum of ϕ-displacement equivalence spans from the established notion of bounded displacement equivalence, which corresponds to bounded ϕ, to the indiscrete equivalence relation, coresponding to ϕ(R)∈Ω(R), in which all separated nets are equivalent. In between the two ends of this spectrum, the notions of ϕ-displacement equivalence are shown to be pairwise distinct with respect to the asymptotic classes of ϕ(R) for R→∞. We further undertake a comparison of our notion of ϕ-displacement equivalence with previously studied relations on separated nets. Particular attention is given to the interaction of the notions of ϕ-displacement equivalence with that of bilipschitz equivalence.","lang":"eng"}],"date_updated":"2024-01-11T13:06:32Z","citation":{"ieee":"M. Dymond and V. Kaluza, “Divergence of separated nets with respect to displacement equivalence,” Geometriae Dedicata. Springer Nature, 2023.","chicago":"Dymond, Michael, and Vojtech Kaluza. “Divergence of Separated Nets with Respect to Displacement Equivalence.” Geometriae Dedicata. Springer Nature, 2023. https://doi.org/10.1007/s10711-023-00862-3.","ama":"Dymond M, Kaluza V. Divergence of separated nets with respect to displacement equivalence. Geometriae Dedicata. 2023. doi:10.1007/s10711-023-00862-3","apa":"Dymond, M., & Kaluza, V. (2023). Divergence of separated nets with respect to displacement equivalence. Geometriae Dedicata. Springer Nature. https://doi.org/10.1007/s10711-023-00862-3","ista":"Dymond M, Kaluza V. 2023. Divergence of separated nets with respect to displacement equivalence. Geometriae Dedicata., 15.","mla":"Dymond, Michael, and Vojtech Kaluza. “Divergence of Separated Nets with Respect to Displacement Equivalence.” Geometriae Dedicata, 15, Springer Nature, 2023, doi:10.1007/s10711-023-00862-3.","short":"M. Dymond, V. Kaluza, Geometriae Dedicata (2023)."},"year":"2023","isi":1,"external_id":{"arxiv":["2102.13046"],"isi":["001105681500001"]},"publisher":"Springer Nature","article_type":"original","quality_controlled":"1","publication_status":"epub_ahead","date_created":"2021-07-14T07:01:27Z","department":[{"_id":"UlWa"}],"article_processing_charge":"Yes (via OA deal)","title":"Divergence of separated nets with respect to displacement equivalence","_id":"9651","scopus_import":"1","author":[{"full_name":"Dymond, Michael","last_name":"Dymond","first_name":"Michael"},{"id":"21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E","first_name":"Vojtech","last_name":"Kaluza","orcid":"0000-0002-2512-8698","full_name":"Kaluza, Vojtech"}]},{"language":[{"iso":"eng"}],"keyword":["Lipschitz","bilipschitz","bounded displacement","modulus of continuity","separated net","non-realisable density","Burago--Kleiner construction"],"month":"03","oa_version":"Submitted Version","publication":"Israel Journal of Mathematics","has_accepted_license":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","file":[{"creator":"vkaluza","file_id":"9653","relation":"main_file","access_level":"open_access","file_name":"separated_nets.pdf","content_type":"application/pdf","date_updated":"2021-07-14T07:41:50Z","file_size":900422,"checksum":"6fa0a3207dd1d6467c309fd1bcc867d1","date_created":"2021-07-14T07:41:50Z"}],"oa":1,"publication_identifier":{"eissn":["1565-8511"]},"date_published":"2023-03-01T00:00:00Z","type":"journal_article","article_type":"original","publisher":"Springer Nature","file_date_updated":"2021-07-14T07:41:50Z","page":"501-554","quality_controlled":"1","title":"Highly irregular separated nets","intvolume":" 253","publication_status":"published","department":[{"_id":"UlWa"}],"date_created":"2021-07-14T07:01:28Z","article_processing_charge":"No","author":[{"full_name":"Dymond, Michael","last_name":"Dymond","first_name":"Michael"},{"id":"21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E","first_name":"Vojtech","last_name":"Kaluza","orcid":"0000-0002-2512-8698","full_name":"Kaluza, Vojtech"}],"_id":"9652","scopus_import":"1","ddc":["515","516"],"volume":253,"acknowledgement":"This work was done while both authors were employed at the University of Innsbruck and enjoyed the full support of Austrian Science Fund (FWF): P 30902-N35.","abstract":[{"text":"In 1998 Burago and Kleiner and (independently) McMullen gave examples of separated nets in Euclidean space which are non-bilipschitz equivalent to the integer lattice. We study weaker notions of equivalence of separated nets and demonstrate that such notions also give rise to distinct equivalence classes. Put differently, we find occurrences of particularly strong divergence of separated nets from the integer lattice. Our approach generalises that of Burago and Kleiner and McMullen which takes place largely in a continuous setting. Existence of irregular separated nets is verified via the existence of non-realisable density functions ρ:[0,1]d→(0,∞). In the present work we obtain stronger types of non-realisable densities.","lang":"eng"}],"doi":"10.1007/s11856-022-2448-6","arxiv":1,"day":"01","isi":1,"external_id":{"isi":["000904950300003"],"arxiv":["1903.05923"]},"date_updated":"2023-08-14T11:26:34Z","year":"2023","citation":{"ieee":"M. Dymond and V. Kaluza, “Highly irregular separated nets,” Israel Journal of Mathematics, vol. 253. Springer Nature, pp. 501–554, 2023.","chicago":"Dymond, Michael, and Vojtech Kaluza. “Highly Irregular Separated Nets.” Israel Journal of Mathematics. Springer Nature, 2023. https://doi.org/10.1007/s11856-022-2448-6.","ama":"Dymond M, Kaluza V. Highly irregular separated nets. Israel Journal of Mathematics. 2023;253:501-554. doi:10.1007/s11856-022-2448-6","apa":"Dymond, M., & Kaluza, V. (2023). Highly irregular separated nets. Israel Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s11856-022-2448-6","ista":"Dymond M, Kaluza V. 2023. Highly irregular separated nets. Israel Journal of Mathematics. 253, 501–554.","mla":"Dymond, Michael, and Vojtech Kaluza. “Highly Irregular Separated Nets.” Israel Journal of Mathematics, vol. 253, Springer Nature, 2023, pp. 501–54, doi:10.1007/s11856-022-2448-6.","short":"M. Dymond, V. Kaluza, Israel Journal of Mathematics 253 (2023) 501–554."}},{"volume":58,"acknowledgement":"The author is grateful to Professors Sergio Albeverio and Andreas Eberle, and to Dr. Kohei Suzuki, for fruitful conversations on the subject of the present work, and for respectively pointing out the references [1, 13], and [3, 20]. Finally, he is especially grateful to an anonymous Reviewer for their very careful reading and their suggestions which improved the readability of the paper.","ddc":["510"],"day":"01","doi":"10.1007/s11118-021-09951-y","arxiv":1,"abstract":[{"text":"We study direct integrals of quadratic and Dirichlet forms. We show that each quasi-regular Dirichlet space over a probability space admits a unique representation as a direct integral of irreducible Dirichlet spaces, quasi-regular for the same underlying topology. The same holds for each quasi-regular strongly local Dirichlet space over a metrizable Luzin σ-finite Radon measure space, and admitting carré du champ operator. In this case, the representation is only projectively unique.","lang":"eng"}],"year":"2023","citation":{"ista":"Dello Schiavo L. 2023. Ergodic decomposition of Dirichlet forms via direct integrals and applications. Potential Analysis. 58, 573–615.","mla":"Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications.” Potential Analysis, vol. 58, Springer Nature, 2023, pp. 573–615, doi:10.1007/s11118-021-09951-y.","short":"L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.","chicago":"Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications.” Potential Analysis. Springer Nature, 2023. https://doi.org/10.1007/s11118-021-09951-y.","ieee":"L. Dello Schiavo, “Ergodic decomposition of Dirichlet forms via direct integrals and applications,” Potential Analysis, vol. 58. Springer Nature, pp. 573–615, 2023.","ama":"Dello Schiavo L. Ergodic decomposition of Dirichlet forms via direct integrals and applications. Potential Analysis. 2023;58:573-615. doi:10.1007/s11118-021-09951-y","apa":"Dello Schiavo, L. (2023). Ergodic decomposition of Dirichlet forms via direct integrals and applications. Potential Analysis. Springer Nature. https://doi.org/10.1007/s11118-021-09951-y"},"date_updated":"2023-10-04T09:19:12Z","external_id":{"isi":["000704213400001"],"arxiv":["2003.01366"]},"isi":1,"publisher":"Springer Nature","article_type":"original","quality_controlled":"1","ec_funded":1,"page":"573-615","file_date_updated":"2023-10-04T09:18:59Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"JaMa"}],"date_created":"2021-10-17T22:01:17Z","publication_status":"published","intvolume":" 58","title":"Ergodic decomposition of Dirichlet forms via direct integrals and applications","scopus_import":"1","_id":"10145","author":[{"first_name":"Lorenzo","last_name":"Dello Schiavo","orcid":"0000-0002-9881-6870","full_name":"Dello Schiavo, Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E"}],"file":[{"file_size":806391,"checksum":"625526482be300ca7281c91c30d41725","date_created":"2023-10-04T09:18:59Z","content_type":"application/pdf","file_name":"2023_PotentialAnalysis_DelloSchiavo.pdf","date_updated":"2023-10-04T09:18:59Z","relation":"main_file","success":1,"access_level":"open_access","creator":"dernst","file_id":"14387"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","publication_identifier":{"eissn":["1572-929X"],"issn":["0926-2601"]},"oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","date_published":"2023-03-01T00:00:00Z","language":[{"iso":"eng"}],"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"},{"call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117"}],"oa_version":"Published Version","month":"03","has_accepted_license":"1","publication":"Potential Analysis"},{"author":[{"id":"fea1b376-906f-11eb-847d-b2c0cf46455b","last_name":"Clozeau","first_name":"Nicolas","full_name":"Clozeau, Nicolas"}],"_id":"10173","scopus_import":"1","title":"Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields","intvolume":" 11","publication_status":"published","article_processing_charge":"Yes (via OA deal)","date_created":"2021-10-23T10:50:22Z","department":[{"_id":"JuFi"}],"file_date_updated":"2023-08-14T11:51:04Z","page":"1254–1378","quality_controlled":"1","article_type":"original","publisher":"Springer Nature","isi":1,"external_id":{"arxiv":["2102.07452"],"isi":["000799715600001"]},"date_updated":"2023-08-14T11:51:47Z","year":"2023","citation":{"ista":"Clozeau N. 2023. Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields. Stochastics and Partial Differential Equations: Analysis and Computations. 11, 1254–1378.","mla":"Clozeau, Nicolas. “Optimal Decay of the Parabolic Semigroup in Stochastic Homogenization for Correlated Coefficient Fields.” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 11, Springer Nature, 2023, pp. 1254–1378, doi:10.1007/s40072-022-00254-w.","short":"N. Clozeau, Stochastics and Partial Differential Equations: Analysis and Computations 11 (2023) 1254–1378.","chicago":"Clozeau, Nicolas. “Optimal Decay of the Parabolic Semigroup in Stochastic Homogenization for Correlated Coefficient Fields.” Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2023. https://doi.org/10.1007/s40072-022-00254-w.","ieee":"N. Clozeau, “Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields,” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 11. Springer Nature, pp. 1254–1378, 2023.","apa":"Clozeau, N. (2023). Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields. Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature. https://doi.org/10.1007/s40072-022-00254-w","ama":"Clozeau N. Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields. Stochastics and Partial Differential Equations: Analysis and Computations. 2023;11:1254–1378. doi:10.1007/s40072-022-00254-w"},"abstract":[{"lang":"eng","text":"We study the large scale behavior of elliptic systems with stationary random coefficient that have only slowly decaying correlations. To this aim we analyze the so-called corrector equation, a degenerate elliptic equation posed in the probability space. In this contribution, we use a parabolic approach and optimally quantify the time decay of the semigroup. For the theoretical point of view, we prove an optimal decay estimate of the gradient and flux of the corrector when spatially averaged over a scale R larger than 1. For the numerical point of view, our results provide convenient tools for the analysis of various numerical methods."}],"doi":"10.1007/s40072-022-00254-w","arxiv":1,"day":"01","ddc":["510"],"volume":11,"acknowledgement":"I would like to thank my advisor Antoine Gloria for suggesting this problem to me, as well for many interesting discussions and suggestions.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","publication":"Stochastics and Partial Differential Equations: Analysis and Computations","has_accepted_license":"1","month":"09","oa_version":"Published Version","language":[{"iso":"eng"}],"date_published":"2023-09-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["2194-0401"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","file":[{"file_id":"14052","creator":"dernst","relation":"main_file","success":1,"access_level":"open_access","date_updated":"2023-08-14T11:51:04Z","content_type":"application/pdf","file_name":"2023_StochPartialDiffEquations_Clozeau.pdf","date_created":"2023-08-14T11:51:04Z","checksum":"f83dcaecdbd3ace862c4ed97a20e8501","file_size":1635193}]},{"author":[{"full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992","last_name":"Cipolloni","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","last_name":"Schröder","first_name":"Dominik J","full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856"}],"issue":"5","_id":"10405","scopus_import":"1","title":"Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices","intvolume":" 76","publication_status":"published","article_processing_charge":"Yes (via OA deal)","date_created":"2021-12-05T23:01:41Z","department":[{"_id":"LaEr"}],"file_date_updated":"2023-10-04T09:21:48Z","page":"946-1034","ec_funded":1,"quality_controlled":"1","article_type":"original","publisher":"Wiley","isi":1,"external_id":{"isi":["000724652500001"],"arxiv":["1912.04100"]},"date_updated":"2023-10-04T09:22:55Z","citation":{"apa":"Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.22028","ama":"Cipolloni G, Erdös L, Schröder DJ. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 2023;76(5):946-1034. doi:10.1002/cpa.22028","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices,” Communications on Pure and Applied Mathematics, vol. 76, no. 5. Wiley, pp. 946–1034, 2023.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Central Limit Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices.” Communications on Pure and Applied Mathematics. Wiley, 2023. https://doi.org/10.1002/cpa.22028.","mla":"Cipolloni, Giorgio, et al. “Central Limit Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices.” Communications on Pure and Applied Mathematics, vol. 76, no. 5, Wiley, 2023, pp. 946–1034, doi:10.1002/cpa.22028.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.","ista":"Cipolloni G, Erdös L, Schröder DJ. 2023. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 76(5), 946–1034."},"year":"2023","abstract":[{"text":"We consider large non-Hermitian random matrices X with complex, independent, identically distributed centred entries and show that the linear statistics of their eigenvalues are asymptotically Gaussian for test functions having 2+ϵ derivatives. Previously this result was known only for a few special cases; either the test functions were required to be analytic [72], or the distribution of the matrix elements needed to be Gaussian [73], or at least match the Gaussian up to the first four moments [82, 56]. We find the exact dependence of the limiting variance on the fourth cumulant that was not known before. The proof relies on two novel ingredients: (i) a local law for a product of two resolvents of the Hermitisation of X with different spectral parameters and (ii) a coupling of several weakly dependent Dyson Brownian motions. These methods are also the key inputs for our analogous results on the linear eigenvalue statistics of real matrices X that are presented in the companion paper [32]. ","lang":"eng"}],"doi":"10.1002/cpa.22028","arxiv":1,"day":"01","ddc":["510"],"acknowledgement":"L.E. would like to thank Nathanaël Berestycki and D.S.would like to thank Nina Holden for valuable discussions on the Gaussian freefield.G.C. and L.E. are partially supported by ERC Advanced Grant No. 338804.G.C. received funding from the European Union’s Horizon 2020 research and in-novation programme under the Marie Skłodowska-Curie Grant Agreement No.665385. D.S. is supported by Dr. Max Rössler, the Walter Haefner Foundation, and the ETH Zürich Foundation.","volume":76,"publication":"Communications on Pure and Applied Mathematics","has_accepted_license":"1","month":"05","oa_version":"Published Version","project":[{"grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","grant_number":"665385"}],"language":[{"iso":"eng"}],"date_published":"2023-05-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png"},"oa":1,"publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"date_created":"2023-10-04T09:21:48Z","checksum":"8346bc2642afb4ccb7f38979f41df5d9","file_size":803440,"date_updated":"2023-10-04T09:21:48Z","content_type":"application/pdf","file_name":"2023_CommPureMathematics_Cipolloni.pdf","success":1,"relation":"main_file","access_level":"open_access","file_id":"14388","creator":"dernst"}]},{"file_date_updated":"2023-06-19T07:33:53Z","quality_controlled":"1","article_type":"original","publisher":"Springer Nature","author":[{"full_name":"Fellner, Klemens","last_name":"Fellner","first_name":"Klemens"},{"id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","last_name":"Fischer","first_name":"Julian L","full_name":"Fischer, Julian L","orcid":"0000-0002-0479-558X"},{"first_name":"Michael","last_name":"Kniely","orcid":"0000-0001-5645-4333","full_name":"Kniely, Michael","id":"2CA2C08C-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Bao Quoc","last_name":"Tang","full_name":"Tang, Bao Quoc"}],"scopus_import":"1","_id":"10550","intvolume":" 33","title":"Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion","article_processing_charge":"No","department":[{"_id":"JuFi"}],"date_created":"2021-12-16T12:15:35Z","publication_status":"published","ddc":["510"],"acknowledgement":"We thank the referees for their valuable comments and suggestions. A major part of this work was carried out when B. Q. Tang visited the Institute of Science and Technology Austria (ISTA). The hospitality of ISTA is greatly acknowledged. This work was partially supported by NAWI Graz.\r\nOpen access funding provided by University of Graz.","volume":33,"external_id":{"arxiv":["2109.12019"],"isi":["001002343400002"]},"isi":1,"year":"2023","citation":{"ista":"Fellner K, Fischer JL, Kniely M, Tang BQ. 2023. Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion. Journal of Nonlinear Science. 33, 66.","short":"K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, Journal of Nonlinear Science 33 (2023).","mla":"Fellner, Klemens, et al. “Global Renormalised Solutions and Equilibration of Reaction-Diffusion Systems with Non-Linear Diffusion.” Journal of Nonlinear Science, vol. 33, 66, Springer Nature, 2023, doi:10.1007/s00332-023-09926-w.","ieee":"K. Fellner, J. L. Fischer, M. Kniely, and B. Q. Tang, “Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion,” Journal of Nonlinear Science, vol. 33. Springer Nature, 2023.","chicago":"Fellner, Klemens, Julian L Fischer, Michael Kniely, and Bao Quoc Tang. “Global Renormalised Solutions and Equilibration of Reaction-Diffusion Systems with Non-Linear Diffusion.” Journal of Nonlinear Science. Springer Nature, 2023. https://doi.org/10.1007/s00332-023-09926-w.","ama":"Fellner K, Fischer JL, Kniely M, Tang BQ. Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion. Journal of Nonlinear Science. 2023;33. doi:10.1007/s00332-023-09926-w","apa":"Fellner, K., Fischer, J. L., Kniely, M., & Tang, B. Q. (2023). Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion. Journal of Nonlinear Science. Springer Nature. https://doi.org/10.1007/s00332-023-09926-w"},"date_updated":"2023-08-01T14:40:33Z","abstract":[{"text":"The global existence of renormalised solutions and convergence to equilibrium for reaction-diffusion systems with non-linear diffusion are investigated. The system is assumed to have quasi-positive non-linearities and to satisfy an entropy inequality. The difficulties in establishing global renormalised solutions caused by possibly degenerate diffusion are overcome by introducing a new class of weighted truncation functions. By means of the obtained global renormalised solutions, we study the large-time behaviour of complex balanced systems arising from chemical reaction network theory with non-linear diffusion. When the reaction network does not admit boundary equilibria, the complex balanced equilibrium is shown, by using the entropy method, to exponentially attract all renormalised solutions in the same compatibility class. This convergence extends even to a range of non-linear diffusion, where global existence is an open problem, yet we are able to show that solutions to approximate systems converge exponentially to equilibrium uniformly in the regularisation parameter.","lang":"eng"}],"day":"07","doi":"10.1007/s00332-023-09926-w","arxiv":1,"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Journal of Nonlinear Science","article_number":"66","month":"06","oa_version":"Published Version","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"success":1,"relation":"main_file","access_level":"open_access","file_id":"13149","creator":"dernst","date_created":"2023-06-19T07:33:53Z","checksum":"f3f0f0886098e31c81116cff8183750b","file_size":742315,"date_updated":"2023-06-19T07:33:53Z","content_type":"application/pdf","file_name":"2023_JourNonlinearScience_Fellner.pdf"}],"type":"journal_article","date_published":"2023-06-07T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1432-1467"],"issn":["0938-8974"]}},{"issue":"5","author":[{"id":"2CEB641C-A400-11E9-A717-D712E6697425","first_name":"Federico","last_name":"Cornalba","orcid":"0000-0002-6269-5149","full_name":"Cornalba, Federico"},{"id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","first_name":"Julian L","last_name":"Fischer","orcid":"0000-0002-0479-558X","full_name":"Fischer, Julian L"}],"scopus_import":"1","_id":"10551","intvolume":" 247","title":"The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles","department":[{"_id":"JuFi"}],"article_processing_charge":"Yes (via OA deal)","date_created":"2021-12-16T12:16:03Z","publication_status":"published","file_date_updated":"2024-01-30T12:09:34Z","ec_funded":1,"quality_controlled":"1","article_type":"original","publisher":"Springer Nature","external_id":{"isi":["001043086800001"],"arxiv":["2109.06500"]},"isi":1,"year":"2023","citation":{"ista":"Cornalba F, Fischer JL. 2023. The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. Archive for Rational Mechanics and Analysis. 247(5), 76.","short":"F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247 (2023).","mla":"Cornalba, Federico, and Julian L. Fischer. “The Dean-Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive for Rational Mechanics and Analysis, vol. 247, no. 5, 76, Springer Nature, 2023, doi:10.1007/s00205-023-01903-7.","ieee":"F. Cornalba and J. L. Fischer, “The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles,” Archive for Rational Mechanics and Analysis, vol. 247, no. 5. Springer Nature, 2023.","chicago":"Cornalba, Federico, and Julian L Fischer. “The Dean-Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01903-7.","apa":"Cornalba, F., & Fischer, J. L. (2023). The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-023-01903-7","ama":"Cornalba F, Fischer JL. The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles. Archive for Rational Mechanics and Analysis. 2023;247(5). doi:10.1007/s00205-023-01903-7"},"date_updated":"2024-01-30T12:10:10Z","abstract":[{"lang":"eng","text":"The Dean–Kawasaki equation—a strongly singular SPDE—is a basic equation of fluctuating hydrodynamics; it has been proposed in the physics literature to describe the fluctuations of the density of N independent diffusing particles in the regime of large particle numbers N≫1. The singular nature of the Dean–Kawasaki equation presents a substantial challenge for both its analysis and its rigorous mathematical justification. Besides being non-renormalisable by the theory of regularity structures by Hairer et al., it has recently been shown to not even admit nontrivial martingale solutions. In the present work, we give a rigorous and fully quantitative justification of the Dean–Kawasaki equation by considering the natural regularisation provided by standard numerical discretisations: We show that structure-preserving discretisations of the Dean–Kawasaki equation may approximate the density fluctuations of N non-interacting diffusing particles to arbitrary order in N−1 (in suitable weak metrics). In other words, the Dean–Kawasaki equation may be interpreted as a “recipe” for accurate and efficient numerical simulations of the density fluctuations of independent diffusing particles."}],"day":"04","arxiv":1,"doi":"10.1007/s00205-023-01903-7","ddc":["510"],"acknowledgement":"We thank the anonymous referee for his/her careful reading of the manuscript and valuable suggestions. FC gratefully acknowledges funding from the Austrian Science Fund (FWF) through the project F65, and from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.\r\nOpen access funding provided by Austrian Science Fund (FWF).","volume":247,"has_accepted_license":"1","publication":"Archive for Rational Mechanics and Analysis","article_number":"76","month":"08","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"oa_version":"Published Version","language":[{"iso":"eng"}],"type":"journal_article","date_published":"2023-08-04T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","file":[{"relation":"main_file","success":1,"access_level":"open_access","file_id":"14904","creator":"dernst","date_created":"2024-01-30T12:09:34Z","file_size":1851185,"checksum":"4529eeff170b6745a461d397ee611b5a","date_updated":"2024-01-30T12:09:34Z","content_type":"application/pdf","file_name":"2023_ArchiveRationalMech_Cornalba.pdf"}]},{"ddc":["510"],"acknowledgement":"This work was started during the 6th Austrian–Japanese–Mexican–Spanish Workshop on Discrete Geometry in June 2019 in Austria. We thank all the participants for the good atmosphere as well as discussions on the topic. Also, we thank Jan Kynčl for sending us remarks on a preliminary version of this work and an anonymous referee for further helpful comments.Alan Arroyo was funded by the Marie Skłodowska-Curie grant agreement No 754411. Fabian Klute was partially supported by the Netherlands Organisation for Scientific Research (NWO) under project no. 612.001.651 and by the Austrian Science Fund (FWF): J-4510. Irene Parada and Birgit Vogtenhuber were partially supported by the Austrian Science Fund (FWF): W1230 and within the collaborative DACH project Arrangements and Drawings as FWF project I 3340-N35. Irene Parada was also partially supported by the Independent Research Fund Denmark grant 2020-2023 (9131-00044B) Dynamic Network Analysis and by the Margarita Salas Fellowship funded by the Ministry of Universities of Spain and the European Union (NextGenerationEU). Tilo Wiedera was supported by the German Research Foundation (DFG) grant CH 897/2-2.","volume":69,"isi":1,"external_id":{"isi":["000840292800001"],"arxiv":["1909.07347"]},"date_updated":"2023-08-14T12:51:25Z","year":"2023","citation":{"ista":"Arroyo Guevara AM, Klute F, Parada I, Vogtenhuber B, Seidel R, Wiedera T. 2023. Inserting one edge into a simple drawing is hard. Discrete and Computational Geometry. 69, 745–770.","short":"A.M. Arroyo Guevara, F. Klute, I. Parada, B. Vogtenhuber, R. Seidel, T. Wiedera, Discrete and Computational Geometry 69 (2023) 745–770.","mla":"Arroyo Guevara, Alan M., et al. “Inserting One Edge into a Simple Drawing Is Hard.” Discrete and Computational Geometry, vol. 69, Springer Nature, 2023, pp. 745–770, doi:10.1007/s00454-022-00394-9.","chicago":"Arroyo Guevara, Alan M, Fabian Klute, Irene Parada, Birgit Vogtenhuber, Raimund Seidel, and Tilo Wiedera. “Inserting One Edge into a Simple Drawing Is Hard.” Discrete and Computational Geometry. Springer Nature, 2023. https://doi.org/10.1007/s00454-022-00394-9.","ieee":"A. M. Arroyo Guevara, F. Klute, I. Parada, B. Vogtenhuber, R. Seidel, and T. Wiedera, “Inserting one edge into a simple drawing is hard,” Discrete and Computational Geometry, vol. 69. Springer Nature, pp. 745–770, 2023.","apa":"Arroyo Guevara, A. M., Klute, F., Parada, I., Vogtenhuber, B., Seidel, R., & Wiedera, T. (2023). Inserting one edge into a simple drawing is hard. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-022-00394-9","ama":"Arroyo Guevara AM, Klute F, Parada I, Vogtenhuber B, Seidel R, Wiedera T. Inserting one edge into a simple drawing is hard. Discrete and Computational Geometry. 2023;69:745–770. doi:10.1007/s00454-022-00394-9"},"abstract":[{"text":"A simple drawing D(G) of a graph G is one where each pair of edges share at most one point: either a common endpoint or a proper crossing. An edge e in the complement of G can be inserted into D(G) if there exists a simple drawing of G+e extending D(G). As a result of Levi’s Enlargement Lemma, if a drawing is rectilinear (pseudolinear), that is, the edges can be extended into an arrangement of lines (pseudolines), then any edge in the complement of G can be inserted. In contrast, we show that it is NP-complete to decide whether one edge can be inserted into a simple drawing. This remains true even if we assume that the drawing is pseudocircular, that is, the edges can be extended to an arrangement of pseudocircles. On the positive side, we show that, given an arrangement of pseudocircles A and a pseudosegment σ, it can be decided in polynomial time whether there exists a pseudocircle Φσ extending σ for which A∪{Φσ} is again an arrangement of pseudocircles.","lang":"eng"}],"arxiv":1,"doi":"10.1007/s00454-022-00394-9","day":"01","file_date_updated":"2022-08-29T11:23:15Z","page":"745–770","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"Springer Nature","author":[{"id":"3207FDC6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-2401-8670","full_name":"Arroyo Guevara, Alan M","first_name":"Alan M","last_name":"Arroyo Guevara"},{"full_name":"Klute, Fabian","last_name":"Klute","first_name":"Fabian"},{"last_name":"Parada","first_name":"Irene","full_name":"Parada, Irene"},{"full_name":"Vogtenhuber, Birgit","last_name":"Vogtenhuber","first_name":"Birgit"},{"full_name":"Seidel, Raimund","first_name":"Raimund","last_name":"Seidel"},{"last_name":"Wiedera","first_name":"Tilo","full_name":"Wiedera, Tilo"}],"_id":"11999","scopus_import":"1","title":"Inserting one edge into a simple drawing is hard","intvolume":" 69","publication_status":"published","article_processing_charge":"Yes (in subscription journal)","date_created":"2022-08-28T22:02:01Z","department":[{"_id":"UlWa"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"relation":"main_file","success":1,"access_level":"open_access","file_id":"12006","creator":"alisjak","date_created":"2022-08-29T11:23:15Z","file_size":1002218,"checksum":"def7ae3b28d9fd6aec16450e40090302","date_updated":"2022-08-29T11:23:15Z","file_name":"2022_DiscreteandComputionalGeometry_Arroyo.pdf","content_type":"application/pdf"}],"date_published":"2023-04-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"language":[{"iso":"eng"}],"publication":"Discrete and Computational Geometry","has_accepted_license":"1","month":"04","oa_version":"Published Version","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}]},{"scopus_import":"1","_id":"12086","author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","first_name":"Herbert","last_name":"Edelsbrunner"},{"id":"464B40D6-F248-11E8-B48F-1D18A9856A87","last_name":"Osang","first_name":"Georg F","full_name":"Osang, Georg F"}],"date_created":"2022-09-11T22:01:57Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"HeEd"}],"publication_status":"published","intvolume":" 85","title":"A simple algorithm for higher-order Delaunay mosaics and alpha shapes","ec_funded":1,"quality_controlled":"1","page":"277-295","file_date_updated":"2023-01-20T10:02:48Z","publisher":"Springer Nature","article_type":"original","year":"2023","citation":{"ieee":"H. Edelsbrunner and G. F. Osang, “A simple algorithm for higher-order Delaunay mosaics and alpha shapes,” Algorithmica, vol. 85. Springer Nature, pp. 277–295, 2023.","chicago":"Edelsbrunner, Herbert, and Georg F Osang. “A Simple Algorithm for Higher-Order Delaunay Mosaics and Alpha Shapes.” Algorithmica. Springer Nature, 2023. https://doi.org/10.1007/s00453-022-01027-6.","ama":"Edelsbrunner H, Osang GF. A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Algorithmica. 2023;85:277-295. doi:10.1007/s00453-022-01027-6","apa":"Edelsbrunner, H., & Osang, G. F. (2023). A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Algorithmica. Springer Nature. https://doi.org/10.1007/s00453-022-01027-6","ista":"Edelsbrunner H, Osang GF. 2023. A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Algorithmica. 85, 277–295.","mla":"Edelsbrunner, Herbert, and Georg F. Osang. “A Simple Algorithm for Higher-Order Delaunay Mosaics and Alpha Shapes.” Algorithmica, vol. 85, Springer Nature, 2023, pp. 277–95, doi:10.1007/s00453-022-01027-6.","short":"H. Edelsbrunner, G.F. Osang, Algorithmica 85 (2023) 277–295."},"date_updated":"2023-06-27T12:53:43Z","external_id":{"isi":["000846967100001"]},"isi":1,"day":"01","doi":"10.1007/s00453-022-01027-6","abstract":[{"lang":"eng","text":"We present a simple algorithm for computing higher-order Delaunay mosaics that works in Euclidean spaces of any finite dimensions. The algorithm selects the vertices of the order-k mosaic from incrementally constructed lower-order mosaics and uses an algorithm for weighted first-order Delaunay mosaics as a black-box to construct the order-k mosaic from its vertices. Beyond this black-box, the algorithm uses only combinatorial operations, thus facilitating easy implementation. We extend this algorithm to compute higher-order α-shapes and provide open-source implementations. We present experimental results for properties of higher-order Delaunay mosaics of random point sets."}],"acknowledgement":"Open access funding provided by Austrian Science Fund (FWF). This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, Grant No. 788183, from the Wittgenstein Prize, Austrian Science Fund (FWF), Grant No. Z 342-N31, and from the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund (FWF), Grant No. I 02979-N35.","volume":85,"ddc":["510"],"has_accepted_license":"1","publication":"Algorithmica","project":[{"_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Alpha Shape Theory Extended","grant_number":"788183"},{"_id":"268116B8-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"Z00342","name":"The Wittgenstein Prize"},{"_id":"2561EBF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Persistence and stability of geometric complexes","grant_number":"I02979-N35"}],"oa_version":"Published Version","month":"01","language":[{"iso":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","date_published":"2023-01-01T00:00:00Z","publication_identifier":{"issn":["0178-4617"],"eissn":["1432-0541"]},"oa":1,"file":[{"date_created":"2023-01-20T10:02:48Z","checksum":"71685ca5121f4c837f40c3f8eb50c915","file_size":911017,"date_updated":"2023-01-20T10:02:48Z","content_type":"application/pdf","file_name":"2023_Algorithmica_Edelsbrunner.pdf","relation":"main_file","success":1,"access_level":"open_access","file_id":"12322","creator":"dernst"}],"user_id":"2EBD1598-F248-11E8-B48F-1D18A9856A87","status":"public"},{"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Annales Henri Poincare","month":"03","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6","name":"Curvature-dimension in noncommutative analysis","grant_number":"M03337"},{"call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117"},{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"oa_version":"Published Version","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"file_name":"2023_AnnalesHenriPoincare_Wirth.pdf","content_type":"application/pdf","date_updated":"2023-08-14T11:38:28Z","file_size":554871,"checksum":"8c7b185eba5ccd92ef55c120f654222c","date_created":"2023-08-14T11:38:28Z","creator":"dernst","file_id":"14051","relation":"main_file","success":1,"access_level":"open_access"}],"type":"journal_article","date_published":"2023-03-01T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["1424-0637"]},"file_date_updated":"2023-08-14T11:38:28Z","quality_controlled":"1","ec_funded":1,"page":"717-750","article_type":"original","publisher":"Springer Nature","author":[{"full_name":"Wirth, Melchior","orcid":"0000-0002-0519-4241","last_name":"Wirth","first_name":"Melchior","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E"},{"full_name":"Zhang, Haonan","last_name":"Zhang","first_name":"Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425"}],"scopus_import":"1","_id":"12087","intvolume":" 24","title":"Curvature-dimension conditions for symmetric quantum Markov semigroups","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"JaMa"}],"date_created":"2022-09-11T22:01:57Z","publication_status":"published","ddc":["510"],"acknowledgement":"H.Z. is supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411 and the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337. M.W. acknowledges support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 716117) and from the Austrian Science Fund (FWF) through grant number F65. Both authors would like to thank Jan Maas for fruitful discussions and helpful comments. Open access funding provided by Austrian Science Fund (FWF).","volume":24,"external_id":{"isi":["000837499800002"],"arxiv":["2105.08303"]},"isi":1,"citation":{"ieee":"M. Wirth and H. Zhang, “Curvature-dimension conditions for symmetric quantum Markov semigroups,” Annales Henri Poincare, vol. 24. Springer Nature, pp. 717–750, 2023.","chicago":"Wirth, Melchior, and Haonan Zhang. “Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups.” Annales Henri Poincare. Springer Nature, 2023. https://doi.org/10.1007/s00023-022-01220-x.","ama":"Wirth M, Zhang H. Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 2023;24:717-750. doi:10.1007/s00023-022-01220-x","apa":"Wirth, M., & Zhang, H. (2023). Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-022-01220-x","ista":"Wirth M, Zhang H. 2023. Curvature-dimension conditions for symmetric quantum Markov semigroups. Annales Henri Poincare. 24, 717–750.","short":"M. Wirth, H. Zhang, Annales Henri Poincare 24 (2023) 717–750.","mla":"Wirth, Melchior, and Haonan Zhang. “Curvature-Dimension Conditions for Symmetric Quantum Markov Semigroups.” Annales Henri Poincare, vol. 24, Springer Nature, 2023, pp. 717–50, doi:10.1007/s00023-022-01220-x."},"year":"2023","date_updated":"2023-08-14T11:39:28Z","abstract":[{"text":"Following up on the recent work on lower Ricci curvature bounds for quantum systems, we introduce two noncommutative versions of curvature-dimension bounds for symmetric quantum Markov semigroups over matrix algebras. Under suitable such curvature-dimension conditions, we prove a family of dimension-dependent functional inequalities, a version of the Bonnet–Myers theorem and concavity of entropy power in the noncommutative setting. We also provide examples satisfying certain curvature-dimension conditions, including Schur multipliers over matrix algebras, Herz–Schur multipliers over group algebras and generalized depolarizing semigroups.","lang":"eng"}],"day":"01","arxiv":1,"doi":"10.1007/s00023-022-01220-x"},{"file_date_updated":"2023-01-20T10:45:06Z","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"Springer Nature","author":[{"orcid":"0000-0002-9881-6870","full_name":"Dello Schiavo, Lorenzo","first_name":"Lorenzo","last_name":"Dello Schiavo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E"},{"id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","full_name":"Wirth, Melchior","orcid":"0000-0002-0519-4241","last_name":"Wirth","first_name":"Melchior"}],"issue":"1","_id":"12104","scopus_import":"1","title":"Ergodic decompositions of Dirichlet forms under order isomorphisms","intvolume":" 23","publication_status":"published","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"JaMa"}],"date_created":"2023-01-08T23:00:53Z","ddc":["510"],"acknowledgement":"Research supported by the Austrian Science Fund (FWF) grant F65 at the Institute of Science and Technology Austria and by the European Research Council (ERC) (Grant agreement No. 716117 awarded to Prof. Dr. Jan Maas). L.D.S. gratefully acknowledges funding of his current position by the Austrian Science Fund (FWF) through the ESPRIT Programme (Grant No. 208). M.W. gratefully acknowledges funding of his current position by the Austrian Science Fund (FWF) through the ESPRIT Programme (Grant No. 156).","volume":23,"isi":1,"external_id":{"isi":["000906214600004"]},"date_updated":"2023-06-28T11:54:35Z","year":"2023","citation":{"chicago":"Dello Schiavo, Lorenzo, and Melchior Wirth. “Ergodic Decompositions of Dirichlet Forms under Order Isomorphisms.” Journal of Evolution Equations. Springer Nature, 2023. https://doi.org/10.1007/s00028-022-00859-7.","ieee":"L. Dello Schiavo and M. Wirth, “Ergodic decompositions of Dirichlet forms under order isomorphisms,” Journal of Evolution Equations, vol. 23, no. 1. Springer Nature, 2023.","ama":"Dello Schiavo L, Wirth M. Ergodic decompositions of Dirichlet forms under order isomorphisms. Journal of Evolution Equations. 2023;23(1). doi:10.1007/s00028-022-00859-7","apa":"Dello Schiavo, L., & Wirth, M. (2023). Ergodic decompositions of Dirichlet forms under order isomorphisms. Journal of Evolution Equations. Springer Nature. https://doi.org/10.1007/s00028-022-00859-7","ista":"Dello Schiavo L, Wirth M. 2023. Ergodic decompositions of Dirichlet forms under order isomorphisms. Journal of Evolution Equations. 23(1), 9.","mla":"Dello Schiavo, Lorenzo, and Melchior Wirth. “Ergodic Decompositions of Dirichlet Forms under Order Isomorphisms.” Journal of Evolution Equations, vol. 23, no. 1, 9, Springer Nature, 2023, doi:10.1007/s00028-022-00859-7.","short":"L. Dello Schiavo, M. Wirth, Journal of Evolution Equations 23 (2023)."},"abstract":[{"lang":"eng","text":"We study ergodic decompositions of Dirichlet spaces under intertwining via unitary order isomorphisms. We show that the ergodic decomposition of a quasi-regular Dirichlet space is unique up to a unique isomorphism of the indexing space. Furthermore, every unitary order isomorphism intertwining two quasi-regular Dirichlet spaces is decomposable over their ergodic decompositions up to conjugation via an isomorphism of the corresponding indexing spaces."}],"doi":"10.1007/s00028-022-00859-7","day":"01","language":[{"iso":"eng"}],"publication":"Journal of Evolution Equations","has_accepted_license":"1","month":"01","article_number":"9","oa_version":"Published Version","project":[{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"},{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics"},{"grant_number":"E208","name":"Configuration Spaces over Non-Smooth Spaces","_id":"34dbf174-11ca-11ed-8bc3-afe9d43d4b9c"},{"_id":"34c6ea2d-11ca-11ed-8bc3-c04f3c502833","grant_number":"ESP156_N","name":"Gradient flow techniques for quantum Markov semigroups"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"relation":"main_file","access_level":"open_access","success":1,"creator":"dernst","file_id":"12325","checksum":"1f34f3e2cb521033de6154f274ea3a4e","file_size":422612,"date_created":"2023-01-20T10:45:06Z","file_name":"2023_JourEvolutionEquations_DelloSchiavo.pdf","content_type":"application/pdf","date_updated":"2023-01-20T10:45:06Z"}],"date_published":"2023-01-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1424-3202"],"issn":["1424-3199"]}},{"language":[{"iso":"eng"}],"publication":"Journal of Fluid Mechanics","has_accepted_license":"1","month":"01","article_number":"A10","oa_version":"Published Version","project":[{"grant_number":"662960","name":"Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental Studies on Transitional and Turbulent Flows","_id":"238598C6-32DE-11EA-91FC-C7463DDC885E"}],"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"success":1,"relation":"main_file","access_level":"open_access","creator":"dernst","file_id":"12489","file_size":1931647,"checksum":"9224f987caefe5dd85a70814d3cce65c","date_created":"2023-02-02T12:34:54Z","content_type":"application/pdf","file_name":"2023_JourFluidMechanics_Marensi.pdf","date_updated":"2023-02-02T12:34:54Z"}],"date_published":"2023-01-10T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"eissn":["1469-7645"],"issn":["0022-1120"]},"file_date_updated":"2023-02-02T12:34:54Z","quality_controlled":"1","article_type":"original","publisher":"Cambridge University Press","author":[{"id":"0BE7553A-1004-11EA-B805-18983DDC885E","first_name":"Elena","last_name":"Marensi","full_name":"Marensi, Elena"},{"id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","orcid":"0000-0002-8490-9312","full_name":"Yalniz, Gökhan","first_name":"Gökhan","last_name":"Yalniz"},{"full_name":"Hof, Björn","orcid":"0000-0003-2057-2754","last_name":"Hof","first_name":"Björn","id":"3A374330-F248-11E8-B48F-1D18A9856A87"},{"id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","first_name":"Nazmi B","full_name":"Budanur, Nazmi B","orcid":"0000-0003-0423-5010"}],"_id":"12105","scopus_import":"1","title":"Symmetry-reduced dynamic mode decomposition of near-wall turbulence","intvolume":" 954","publication_status":"published","department":[{"_id":"BjHo"}],"date_created":"2023-01-08T23:00:53Z","article_processing_charge":"Yes (via OA deal)","ddc":["530"],"volume":954,"acknowledgement":"E.M. acknowledges funding from the ISTplus fellowship programme. G.Y. and B.H. acknowledge\r\na grant from the Simons Foundation (662960, BH).","isi":1,"external_id":{"arxiv":["2101.07516"],"isi":["000903336600001"]},"date_updated":"2023-08-01T12:53:23Z","citation":{"apa":"Marensi, E., Yalniz, G., Hof, B., & Budanur, N. B. (2023). Symmetry-reduced dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2022.1001","ama":"Marensi E, Yalniz G, Hof B, Budanur NB. Symmetry-reduced dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics. 2023;954. doi:10.1017/jfm.2022.1001","chicago":"Marensi, Elena, Gökhan Yalniz, Björn Hof, and Nazmi B Budanur. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall Turbulence.” Journal of Fluid Mechanics. Cambridge University Press, 2023. https://doi.org/10.1017/jfm.2022.1001.","ieee":"E. Marensi, G. Yalniz, B. Hof, and N. B. Budanur, “Symmetry-reduced dynamic mode decomposition of near-wall turbulence,” Journal of Fluid Mechanics, vol. 954. Cambridge University Press, 2023.","mla":"Marensi, Elena, et al. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall Turbulence.” Journal of Fluid Mechanics, vol. 954, A10, Cambridge University Press, 2023, doi:10.1017/jfm.2022.1001.","short":"E. Marensi, G. Yalniz, B. Hof, N.B. Budanur, Journal of Fluid Mechanics 954 (2023).","ista":"Marensi E, Yalniz G, Hof B, Budanur NB. 2023. Symmetry-reduced dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics. 954, A10."},"year":"2023","abstract":[{"text":"Data-driven dimensionality reduction methods such as proper orthogonal decomposition and dynamic mode decomposition have proven to be useful for exploring complex phenomena within fluid dynamics and beyond. A well-known challenge for these techniques is posed by the continuous symmetries, e.g. translations and rotations, of the system under consideration, as drifts in the data dominate the modal expansions without providing an insight into the dynamics of the problem. In the present study, we address this issue for fluid flows in rectangular channels by formulating a continuous symmetry reduction method that eliminates the translations in the streamwise and spanwise directions simultaneously. We demonstrate our method by computing the symmetry-reduced dynamic mode decomposition (SRDMD) of sliding windows of data obtained from the transitional plane-Couette and turbulent plane-Poiseuille flow simulations. In the former setting, SRDMD captures the dynamics in the vicinity of the invariant solutions with translation symmetries, i.e. travelling waves and relative periodic orbits, whereas in the latter, our calculations reveal episodes of turbulent time evolution that can be approximated by a low-dimensional linear expansion.","lang":"eng"}],"arxiv":1,"doi":"10.1017/jfm.2022.1001","day":"10"}]