[{"status":"public","abstract":[{"text":"We establish a quantitative version of the Tracy–Widom law for the largest eigenvalue of high-dimensional sample covariance matrices. To be precise, we show that the fluctuations of the largest eigenvalue of a sample covariance matrix X∗X converge to its Tracy–Widom limit at a rate nearly N−1/3, where X is an M×N random matrix whose entries are independent real or complex random variables, assuming that both M and N tend to infinity at a constant rate. This result improves the previous estimate N−2/9 obtained by Wang (2019). Our proof relies on a Green function comparison method (Adv. Math. 229 (2012) 1435–1515) using iterative cumulant expansions, the local laws for the Green function and asymptotic properties of the correlation kernel of the white Wishart ensemble.","lang":"eng"}],"ec_funded":1,"keyword":["Statistics","Probability and Uncertainty","Statistics and Probability"],"citation":{"mla":"Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom Laws for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals of Applied Probability, vol. 33, no. 1, Institute of Mathematical Statistics, 2023, pp. 677–725, doi:10.1214/22-aap1826.","ieee":"K. Schnelli and Y. Xu, “Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices,” The Annals of Applied Probability, vol. 33, no. 1. Institute of Mathematical Statistics, pp. 677–725, 2023.","chicago":"Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom Laws for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals of Applied Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/22-aap1826.","ista":"Schnelli K, Xu Y. 2023. Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices. The Annals of Applied Probability. 33(1), 677–725.","apa":"Schnelli, K., & Xu, Y. (2023). Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices. The Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/22-aap1826","ama":"Schnelli K, Xu Y. Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices. The Annals of Applied Probability. 2023;33(1):677-725. doi:10.1214/22-aap1826","short":"K. Schnelli, Y. Xu, The Annals of Applied Probability 33 (2023) 677–725."},"intvolume":" 33","day":"01","publication_status":"published","title":"Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices","oa":1,"article_type":"original","month":"02","_id":"14775","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"LaEr"}],"acknowledgement":"K. Schnelli was supported by the Swedish Research Council Grants VR-2017-05195, and the Knut and Alice Wallenberg Foundation. Y. Xu was supported by the Swedish Research Council Grant VR-2017-05195 and the ERC Advanced Grant “RMTBeyond” No. 101020331.","isi":1,"volume":33,"date_created":"2024-01-10T09:23:31Z","year":"2023","page":"677-725","quality_controlled":"1","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020"}],"date_updated":"2024-01-10T13:31:46Z","publication_identifier":{"issn":["1050-5164"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2108.02728","open_access":"1"}],"scopus_import":"1","article_processing_charge":"No","arxiv":1,"language":[{"iso":"eng"}],"type":"journal_article","doi":"10.1214/22-aap1826","publisher":"Institute of Mathematical Statistics","issue":"1","publication":"The Annals of Applied Probability","author":[{"orcid":"0000-0003-0954-3231","id":"434AD0AE-F248-11E8-B48F-1D18A9856A87","first_name":"Kevin","full_name":"Schnelli, Kevin","last_name":"Schnelli"},{"full_name":"Xu, Yuanyuan","first_name":"Yuanyuan","last_name":"Xu","id":"7902bdb1-a2a4-11eb-a164-c9216f71aea3","orcid":"0000-0003-1559-1205"}],"external_id":{"arxiv":["2108.02728"],"isi":["000946432400021"]},"oa_version":"Preprint","date_published":"2023-02-01T00:00:00Z"},{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes","publication_identifier":{"issn":["1422-0067"]},"pmid":1,"quality_controlled":"1","year":"2023","date_created":"2024-01-10T09:24:35Z","date_updated":"2024-01-10T13:41:10Z","volume":24,"file":[{"creator":"dernst","file_size":2637784,"checksum":"4df7d206ba022b7f54eff1f0aec1659a","relation":"main_file","date_updated":"2024-01-10T13:39:42Z","success":1,"access_level":"open_access","file_id":"14791","date_created":"2024-01-10T13:39:42Z","content_type":"application/pdf","file_name":"2023_IJMS_Teplova.pdf"}],"isi":1,"external_id":{"pmid":["38003717"],"isi":["001113792600001"]},"oa_version":"Published Version","date_published":"2023-11-01T00:00:00Z","issue":"22","publication":"International Journal of Molecular Sciences","ddc":["580"],"author":[{"id":"e3736151-106c-11ec-b916-c2558e2762c6","last_name":"Teplova","first_name":"Anastasiia","full_name":"Teplova, Anastasiia"},{"full_name":"Pigidanov, Artemii A.","first_name":"Artemii A.","last_name":"Pigidanov"},{"last_name":"Serebryakova","full_name":"Serebryakova, Marina V.","first_name":"Marina V."},{"last_name":"Golyshev","full_name":"Golyshev, Sergei A.","first_name":"Sergei A."},{"last_name":"Galiullina","first_name":"Raisa A.","full_name":"Galiullina, Raisa A."},{"full_name":"Chichkova, Nina V.","first_name":"Nina V.","last_name":"Chichkova"},{"last_name":"Vartapetian","full_name":"Vartapetian, Andrey B.","first_name":"Andrey B."}],"doi":"10.3390/ijms242216527","publisher":"MDPI","language":[{"iso":"eng"}],"file_date_updated":"2024-01-10T13:39:42Z","type":"journal_article","day":"01","has_accepted_license":"1","keyword":["Inorganic Chemistry","Organic Chemistry","Physical and Theoretical Chemistry","Computer Science Applications","Spectroscopy","Molecular Biology","General Medicine","Catalysis"],"citation":{"short":"A. Teplova, A.A. Pigidanov, M.V. Serebryakova, S.A. Golyshev, R.A. Galiullina, N.V. Chichkova, A.B. Vartapetian, International Journal of Molecular Sciences 24 (2023).","ama":"Teplova A, Pigidanov AA, Serebryakova MV, et al. Phytaspase Is capable of detaching the endoplasmic reticulum retrieval signal from tobacco calreticulin-3. International Journal of Molecular Sciences. 2023;24(22). doi:10.3390/ijms242216527","apa":"Teplova, A., Pigidanov, A. A., Serebryakova, M. V., Golyshev, S. A., Galiullina, R. A., Chichkova, N. V., & Vartapetian, A. B. (2023). Phytaspase Is capable of detaching the endoplasmic reticulum retrieval signal from tobacco calreticulin-3. International Journal of Molecular Sciences. MDPI. https://doi.org/10.3390/ijms242216527","ista":"Teplova A, Pigidanov AA, Serebryakova MV, Golyshev SA, Galiullina RA, Chichkova NV, Vartapetian AB. 2023. Phytaspase Is capable of detaching the endoplasmic reticulum retrieval signal from tobacco calreticulin-3. International Journal of Molecular Sciences. 24(22), 16527.","chicago":"Teplova, Anastasiia, Artemii A. Pigidanov, Marina V. Serebryakova, Sergei A. Golyshev, Raisa A. Galiullina, Nina V. Chichkova, and Andrey B. Vartapetian. “Phytaspase Is Capable of Detaching the Endoplasmic Reticulum Retrieval Signal from Tobacco Calreticulin-3.” International Journal of Molecular Sciences. MDPI, 2023. https://doi.org/10.3390/ijms242216527.","mla":"Teplova, Anastasiia, et al. “Phytaspase Is Capable of Detaching the Endoplasmic Reticulum Retrieval Signal from Tobacco Calreticulin-3.” International Journal of Molecular Sciences, vol. 24, no. 22, 16527, MDPI, 2023, doi:10.3390/ijms242216527.","ieee":"A. Teplova et al., “Phytaspase Is capable of detaching the endoplasmic reticulum retrieval signal from tobacco calreticulin-3,” International Journal of Molecular Sciences, vol. 24, no. 22. MDPI, 2023."},"intvolume":" 24","article_number":"16527","status":"public","abstract":[{"text":"Soluble chaperones residing in the endoplasmic reticulum (ER) play vitally important roles in folding and quality control of newly synthesized proteins that transiently pass through the ER en route to their final destinations. These soluble residents of the ER are themselves endowed with an ER retrieval signal that enables the cell to bring the escaped residents back from the Golgi. Here, by using purified proteins, we showed that Nicotiana tabacum phytaspase, a plant aspartate-specific protease, introduces two breaks at the C-terminus of the N. tabacum ER resident calreticulin-3. These cleavages resulted in removal of either a dipeptide or a hexapeptide from the C-terminus of calreticulin-3 encompassing part or all of the ER retrieval signal. Consistently, expression of the calreticulin-3 derivative mimicking the phytaspase cleavage product in Nicotiana benthamiana cells demonstrated loss of the ER accumulation of the protein. Notably, upon its escape from the ER, calreticulin-3 was further processed by an unknown protease(s) to generate the free N-terminal (N) domain of calreticulin-3, which was ultimately secreted into the apoplast. Our study thus identified a specific proteolytic enzyme capable of precise detachment of the ER retrieval signal from a plant ER resident protein, with implications for the further fate of the escaped resident.","lang":"eng"}],"acknowledgement":"We thank C.U.T. Hellen for critically reading the manuscript. The MALDI MS facility and CLSM became available to us in the framework of Moscow State University Development Programs PNG 5.13 and PNR 5.13.\r\nThis work was funded by the Russian Science Foundation, grant numbers 19-14-00010 and 22-14-00071.","department":[{"_id":"JiFr"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14776","month":"11","oa":1,"title":"Phytaspase Is capable of detaching the endoplasmic reticulum retrieval signal from tobacco calreticulin-3","publication_status":"published","article_type":"original"},{"external_id":{"isi":["001114917200005"]},"oa_version":"Published Version","date_published":"2023-12-01T00:00:00Z","publication":"AIP Advances","issue":"12","ddc":["540"],"author":[{"last_name":"Sato","full_name":"Sato, Kosuke","first_name":"Kosuke"},{"id":"12d625da-9cb3-11ed-9667-af09d37d3f0a","orcid":"0000-0003-2209-5269","last_name":"Singh","full_name":"Singh, Saurabh","first_name":"Saurabh"},{"full_name":"Yamazaki, Itsuki","first_name":"Itsuki","last_name":"Yamazaki"},{"full_name":"Hirata, Keisuke","first_name":"Keisuke","last_name":"Hirata"},{"full_name":"Ang, Artoni Kevin R.","first_name":"Artoni Kevin R.","last_name":"Ang"},{"full_name":"Matsunami, Masaharu","first_name":"Masaharu","last_name":"Matsunami"},{"first_name":"Tsunehiro","full_name":"Takeuchi, Tsunehiro","last_name":"Takeuchi"}],"doi":"10.1063/5.0171888","publisher":"AIP Publishing","language":[{"iso":"eng"}],"file_date_updated":"2024-01-10T13:47:31Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes","publication_identifier":{"eissn":["2158-3226"]},"quality_controlled":"1","year":"2023","date_created":"2024-01-10T09:26:08Z","date_updated":"2024-01-10T13:49:09Z","volume":13,"file":[{"access_level":"open_access","date_updated":"2024-01-10T13:47:31Z","success":1,"file_id":"14792","content_type":"application/pdf","date_created":"2024-01-10T13:47:31Z","file_name":"2023_AIPAdvances_Sato.pdf","creator":"dernst","file_size":9676071,"checksum":"a7098388b8ff822b47f5ddd37ed3bdbc","relation":"main_file"}],"isi":1,"department":[{"_id":"MaIb"}],"acknowledgement":"This work received financial support partially from Japan Science and Technology Agency (JST) CREST Grant No. JPMJCR18I2, Japan. The powder-XRD experiments were conducted at BL5S2 of Aichi Synchrotron Radiation Center, Aichi Science & Technology Foundation, Aichi, Japan (Proposal No. 202301057).","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"12","_id":"14777","title":"Improvement of thermoelectric performance of flexible compound Ag2S0.55Se0.45 by means of partial V-substitution for Ag","oa":1,"publication_status":"published","article_type":"original","day":"01","has_accepted_license":"1","keyword":["General Physics and Astronomy"],"citation":{"short":"K. Sato, S. Singh, I. Yamazaki, K. Hirata, A.K.R. Ang, M. Matsunami, T. Takeuchi, AIP Advances 13 (2023).","ama":"Sato K, Singh S, Yamazaki I, et al. Improvement of thermoelectric performance of flexible compound Ag2S0.55Se0.45 by means of partial V-substitution for Ag. AIP Advances. 2023;13(12). doi:10.1063/5.0171888","ista":"Sato K, Singh S, Yamazaki I, Hirata K, Ang AKR, Matsunami M, Takeuchi T. 2023. Improvement of thermoelectric performance of flexible compound Ag2S0.55Se0.45 by means of partial V-substitution for Ag. AIP Advances. 13(12), 125206.","chicago":"Sato, Kosuke, Saurabh Singh, Itsuki Yamazaki, Keisuke Hirata, Artoni Kevin R. Ang, Masaharu Matsunami, and Tsunehiro Takeuchi. “Improvement of Thermoelectric Performance of Flexible Compound Ag2S0.55Se0.45 by Means of Partial V-Substitution for Ag.” AIP Advances. AIP Publishing, 2023. https://doi.org/10.1063/5.0171888.","apa":"Sato, K., Singh, S., Yamazaki, I., Hirata, K., Ang, A. K. R., Matsunami, M., & Takeuchi, T. (2023). Improvement of thermoelectric performance of flexible compound Ag2S0.55Se0.45 by means of partial V-substitution for Ag. AIP Advances. AIP Publishing. https://doi.org/10.1063/5.0171888","mla":"Sato, Kosuke, et al. “Improvement of Thermoelectric Performance of Flexible Compound Ag2S0.55Se0.45 by Means of Partial V-Substitution for Ag.” AIP Advances, vol. 13, no. 12, 125206, AIP Publishing, 2023, doi:10.1063/5.0171888.","ieee":"K. Sato et al., “Improvement of thermoelectric performance of flexible compound Ag2S0.55Se0.45 by means of partial V-substitution for Ag,” AIP Advances, vol. 13, no. 12. AIP Publishing, 2023."},"intvolume":" 13","article_number":"125206","status":"public","abstract":[{"text":"The effects of the partial V-substitution for Ag on the thermoelectric (TE) properties are investigated for a flexible semiconducting compound Ag2S0.55Se0.45. Density functional theory calculations predict that such a partial V-substitution constructively modifies the electronic structure near the bottom of the conduction band to improve the TE performance. The synthesized Ag1.97V0.03S0.55Se0.45 is found to possess a TE dimensionless figure-of-merit (ZT) of 0.71 at 350 K with maintaining its flexible nature. This ZT value is relatively high in comparison with those reported for flexible TE materials below 360 K. The increase in the ZT value is caused by the enhanced absolute value of the Seebeck coefficient with less significant variation in electrical resistivity. The high ZT value with the flexible nature naturally allows us to employ the Ag1.97V0.03S0.55Se0.45 as a component of flexible TE generators.","lang":"eng"}]},{"doi":"10.1145/3585391","publisher":"Association for Computing Machinery","arxiv":1,"language":[{"iso":"eng"}],"type":"journal_article","file_date_updated":"2024-01-16T08:11:24Z","oa_version":"Published Version","external_id":{"arxiv":["2108.02188"]},"date_published":"2023-06-23T00:00:00Z","issue":"2","publication":"Formal Aspects of Computing","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu"},{"last_name":"Kafshdar Goharshady","first_name":"Ehsan","full_name":"Kafshdar Goharshady, Ehsan"},{"first_name":"Petr","full_name":"Novotný, Petr","last_name":"Novotný","id":"3CC3B868-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Zárevúcky","full_name":"Zárevúcky, Jiří","first_name":"Jiří"},{"id":"294AA7A6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4681-1699","last_name":"Zikelic","full_name":"Zikelic, Dorde","first_name":"Dorde"}],"ddc":["000"],"date_created":"2024-01-10T09:27:43Z","year":"2023","quality_controlled":"1","project":[{"call_identifier":"H2020","grant_number":"863818","name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"}],"date_updated":"2025-07-14T09:10:10Z","file":[{"file_name":"2023_FormalAspectsComputing_Chatterjee.pdf","success":1,"date_updated":"2024-01-16T08:11:24Z","access_level":"open_access","file_id":"14804","date_created":"2024-01-16T08:11:24Z","content_type":"application/pdf","checksum":"3bb133eeb27ec01649a9a36445d952d9","relation":"main_file","creator":"dernst","file_size":502522}],"volume":35,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","publication_identifier":{"eissn":["1433-299X"],"issn":["0934-5043"]},"_id":"14778","month":"06","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"10414"}]},"title":"On lexicographic proof rules for probabilistic termination","oa":1,"article_type":"original","department":[{"_id":"KrCh"}],"acknowledgement":"This research was partially supported by the ERC CoG (grant no. 863818; ForM-SMArt), the Czech Science Foundation (grant no. GA21-24711S), and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 665385.","ec_funded":1,"status":"public","article_number":"11","abstract":[{"lang":"eng","text":"We consider the almost-sure (a.s.) termination problem for probabilistic programs, which are a stochastic extension of classical imperative programs. Lexicographic ranking functions provide a sound and practical approach for termination of non-probabilistic programs, and their extension to probabilistic programs is achieved via lexicographic ranking supermartingales (LexRSMs). However, LexRSMs introduced in the previous work have a limitation that impedes their automation: all of their components have to be non-negative in all reachable states. This might result in a LexRSM not existing even for simple terminating programs. Our contributions are twofold. First, we introduce a generalization of LexRSMs that allows for some components to be negative. This standard feature of non-probabilistic termination proofs was hitherto not known to be sound in the probabilistic setting, as the soundness proof requires a careful analysis of the underlying stochastic process. Second, we present polynomial-time algorithms using our generalized LexRSMs for proving a.s. termination in broad classes of linear-arithmetic programs."}],"day":"23","has_accepted_license":"1","keyword":["Theoretical Computer Science","Software"],"intvolume":" 35","citation":{"ama":"Chatterjee K, Kafshdar Goharshady E, Novotný P, Zárevúcky J, Zikelic D. On lexicographic proof rules for probabilistic termination. Formal Aspects of Computing. 2023;35(2). doi:10.1145/3585391","short":"K. Chatterjee, E. Kafshdar Goharshady, P. Novotný, J. Zárevúcky, D. Zikelic, Formal Aspects of Computing 35 (2023).","mla":"Chatterjee, Krishnendu, et al. “On Lexicographic Proof Rules for Probabilistic Termination.” Formal Aspects of Computing, vol. 35, no. 2, 11, Association for Computing Machinery, 2023, doi:10.1145/3585391.","ieee":"K. Chatterjee, E. Kafshdar Goharshady, P. Novotný, J. Zárevúcky, and D. Zikelic, “On lexicographic proof rules for probabilistic termination,” Formal Aspects of Computing, vol. 35, no. 2. Association for Computing Machinery, 2023.","apa":"Chatterjee, K., Kafshdar Goharshady, E., Novotný, P., Zárevúcky, J., & Zikelic, D. (2023). On lexicographic proof rules for probabilistic termination. Formal Aspects of Computing. Association for Computing Machinery. https://doi.org/10.1145/3585391","ista":"Chatterjee K, Kafshdar Goharshady E, Novotný P, Zárevúcky J, Zikelic D. 2023. On lexicographic proof rules for probabilistic termination. Formal Aspects of Computing. 35(2), 11.","chicago":"Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, Jiří Zárevúcky, and Dorde Zikelic. “On Lexicographic Proof Rules for Probabilistic Termination.” Formal Aspects of Computing. Association for Computing Machinery, 2023. https://doi.org/10.1145/3585391."}},{"oa":1,"title":"The decaying near‐surface boundary layer of a retreating alpine glacier","publication_status":"published","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14779","month":"06","acknowledgement":"This work was funded by the EU Horizon 2020 Marie Skłodowska-Curie Actions Grant 101026058. The authors acknowl-edge the dedicated collection of field data by many parties since 2001, including those acknowledged for the cited works on Arolla Glacier. The authors would like to thank Fabienne Meier, Alice Zaugg, Raphael Willi, Maria Grundmann, and Marta Corrà for assistance in the field for the summers of 2021 and 2022. Off-glacier data provided by Grand Dixence SA (Arolla) and MeteoSwiss are kindly acknowledged. Simone Fatichi is thanked for the provision and support in the use of the Tethys-Chloris model. We thank Editor Mathieu Morlighem and two anonymous reviewers whose comments have helped to improve the quality of the manuscript.","department":[{"_id":"FrPe"}],"article_number":"e2023GL103043","status":"public","abstract":[{"lang":"eng","text":"The presence of a developed boundary layer decouples a glacier's response from ambient conditions, suggesting that sensitivity to climate change is increased by glacier retreat. To test this hypothesis, we explore six years of distributed meteorological data on a small Swiss glacier in the period 2001–2022. Large glacier fragmentation has occurred since 2001 (−35% area change up to 2022) coinciding with notable frontal retreat, an observed switch from down‐glacier katabatic to up‐glacier valley winds and an increased sensitivity (ratio) of on‐glacier to off‐glacier temperature. As the glacier ceases to develop density‐driven katabatic winds, sensible heat fluxes on the glacier are increasingly determined by the conditions occurring outside the boundary layer of the glacier, sealing the glacier's demise as the climate continues to warm and experience an increased frequency of extreme summers."}],"keyword":["General Earth and Planetary Sciences","Geophysics"],"intvolume":" 50","citation":{"ieee":"T. E. Shaw, P. Buri, M. McCarthy, E. S. Miles, Á. Ayala, and F. Pellicciotti, “The decaying near‐surface boundary layer of a retreating alpine glacier,” Geophysical Research Letters, vol. 50, no. 11. American Geophysical Union, 2023.","mla":"Shaw, Thomas E., et al. “The Decaying Near‐surface Boundary Layer of a Retreating Alpine Glacier.” Geophysical Research Letters, vol. 50, no. 11, e2023GL103043, American Geophysical Union, 2023, doi:10.1029/2023gl103043.","chicago":"Shaw, Thomas E., Pascal Buri, Michael McCarthy, Evan S. Miles, Álvaro Ayala, and Francesca Pellicciotti. “The Decaying Near‐surface Boundary Layer of a Retreating Alpine Glacier.” Geophysical Research Letters. American Geophysical Union, 2023. https://doi.org/10.1029/2023gl103043.","ista":"Shaw TE, Buri P, McCarthy M, Miles ES, Ayala Á, Pellicciotti F. 2023. The decaying near‐surface boundary layer of a retreating alpine glacier. Geophysical Research Letters. 50(11), e2023GL103043.","apa":"Shaw, T. E., Buri, P., McCarthy, M., Miles, E. S., Ayala, Á., & Pellicciotti, F. (2023). The decaying near‐surface boundary layer of a retreating alpine glacier. Geophysical Research Letters. American Geophysical Union. https://doi.org/10.1029/2023gl103043","ama":"Shaw TE, Buri P, McCarthy M, Miles ES, Ayala Á, Pellicciotti F. The decaying near‐surface boundary layer of a retreating alpine glacier. Geophysical Research Letters. 2023;50(11). doi:10.1029/2023gl103043","short":"T.E. Shaw, P. Buri, M. McCarthy, E.S. Miles, Á. Ayala, F. Pellicciotti, Geophysical Research Letters 50 (2023)."},"day":"16","has_accepted_license":"1","language":[{"iso":"eng"}],"file_date_updated":"2024-01-16T08:35:02Z","type":"journal_article","doi":"10.1029/2023gl103043","publisher":"American Geophysical Union","publication":"Geophysical Research Letters","issue":"11","ddc":["550"],"author":[{"last_name":"Shaw","full_name":"Shaw, Thomas E.","first_name":"Thomas E."},{"first_name":"Pascal","full_name":"Buri, Pascal","last_name":"Buri"},{"first_name":"Michael","full_name":"McCarthy, Michael","last_name":"McCarthy"},{"last_name":"Miles","full_name":"Miles, Evan S.","first_name":"Evan S."},{"full_name":"Ayala, Álvaro","first_name":"Álvaro","last_name":"Ayala"},{"id":"b28f055a-81ea-11ed-b70c-a9fe7f7b0e70","orcid":"0000-0002-5554-8087","full_name":"Pellicciotti, Francesca","first_name":"Francesca","last_name":"Pellicciotti"}],"oa_version":"Published Version","external_id":{"isi":["000999436400001"]},"date_published":"2023-06-16T00:00:00Z","volume":50,"file":[{"access_level":"open_access","date_updated":"2024-01-16T08:35:02Z","success":1,"file_id":"14805","date_created":"2024-01-16T08:35:02Z","content_type":"application/pdf","file_name":"2023_GeophysicalResearchLetter_Shaw.pdf","creator":"dernst","file_size":2529327,"checksum":"391a3005c95340a0ae129ce4fbdf2bae","relation":"main_file"}],"isi":1,"quality_controlled":"1","year":"2023","date_created":"2024-01-10T09:28:34Z","date_updated":"2024-01-16T08:42:36Z","publication_identifier":{"issn":["0094-8276"],"eissn":["1944-8007"]},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"No"},{"status":"public","abstract":[{"lang":"eng","text":"In this paper, we study the eigenvalues and eigenvectors of the spiked invariant multiplicative models when the randomness is from Haar matrices. We establish the limits of the outlier eigenvalues λˆi and the generalized components (⟨v,uˆi⟩ for any deterministic vector v) of the outlier eigenvectors uˆi with optimal convergence rates. Moreover, we prove that the non-outlier eigenvalues stick with those of the unspiked matrices and the non-outlier eigenvectors are delocalized. The results also hold near the so-called BBP transition and for degenerate spikes. On one hand, our results can be regarded as a refinement of the counterparts of [12] under additional regularity conditions. On the other hand, they can be viewed as an analog of [34] by replacing the random matrix with i.i.d. entries with Haar random matrix."}],"ec_funded":1,"keyword":["Applied Mathematics","Modeling and Simulation","Statistics and Probability"],"intvolume":" 163","citation":{"mla":"Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” Stochastic Processes and Their Applications, vol. 163, Elsevier, 2023, pp. 25–60, doi:10.1016/j.spa.2023.05.009.","ieee":"X. Ding and H. C. Ji, “Spiked multiplicative random matrices and principal components,” Stochastic Processes and their Applications, vol. 163. Elsevier, pp. 25–60, 2023.","apa":"Ding, X., & Ji, H. C. (2023). Spiked multiplicative random matrices and principal components. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2023.05.009","ista":"Ding X, Ji HC. 2023. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 163, 25–60.","chicago":"Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” Stochastic Processes and Their Applications. Elsevier, 2023. https://doi.org/10.1016/j.spa.2023.05.009.","ama":"Ding X, Ji HC. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 2023;163:25-60. doi:10.1016/j.spa.2023.05.009","short":"X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60."},"day":"01","has_accepted_license":"1","title":"Spiked multiplicative random matrices and principal components","oa":1,"publication_status":"published","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14780","month":"09","department":[{"_id":"LaEr"}],"acknowledgement":"The authors would like to thank the editor, the associated editor and two anonymous referees for their many critical suggestions which have significantly improved the paper. The authors are also grateful to Zhigang Bao and Ji Oon Lee for many helpful discussions. The first author also wants to thank Hari Bercovici for many useful comments. The first author is partially supported by National Science Foundation DMS-2113489 and the second author is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","volume":163,"isi":1,"file":[{"success":1,"date_updated":"2024-01-16T08:47:31Z","access_level":"open_access","content_type":"application/pdf","file_id":"14806","date_created":"2024-01-16T08:47:31Z","file_name":"2023_StochasticProcAppl_Ding.pdf","creator":"dernst","file_size":1870349,"checksum":"46a708b0cd5569a73d0f3d6c3e0a44dc","relation":"main_file"}],"page":"25-60","quality_controlled":"1","year":"2023","date_created":"2024-01-10T09:29:25Z","date_updated":"2024-01-16T08:49:51Z","project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"}],"publication_identifier":{"eissn":["1879-209X"],"issn":["0304-4149"]},"article_processing_charge":"Yes (in subscription journal)","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"arxiv":1,"language":[{"iso":"eng"}],"file_date_updated":"2024-01-16T08:47:31Z","type":"journal_article","doi":"10.1016/j.spa.2023.05.009","publisher":"Elsevier","publication":"Stochastic Processes and their Applications","ddc":["510"],"author":[{"first_name":"Xiucai","full_name":"Ding, Xiucai","last_name":"Ding"},{"last_name":"Ji","full_name":"Ji, Hong Chang","first_name":"Hong Chang","id":"dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d"}],"external_id":{"isi":["001113615900001"],"arxiv":["2302.13502"]},"oa_version":"Published Version","date_published":"2023-09-01T00:00:00Z"},{"article_processing_charge":"No","publication_identifier":{"issn":["1534-5807"]},"main_file_link":[{"url":"https://www.biorxiv.org/content/10.1101/2023.07.09.548244","open_access":"1"}],"pmid":1,"date_created":"2024-01-10T09:41:21Z","year":"2023","page":"1578-1592.e5","quality_controlled":"1","date_updated":"2024-01-16T08:56:36Z","volume":58,"oa_version":"Preprint","external_id":{"pmid":["37463577"]},"date_published":"2023-09-11T00:00:00Z","issue":"17","publication":"Developmental Cell","author":[{"first_name":"Kim Joana","full_name":"Westerich, Kim Joana","last_name":"Westerich"},{"full_name":"Tarbashevich, Katsiaryna","first_name":"Katsiaryna","last_name":"Tarbashevich"},{"full_name":"Schick, Jan","first_name":"Jan","last_name":"Schick"},{"first_name":"Antra","full_name":"Gupta, Antra","last_name":"Gupta"},{"first_name":"Mingzhao","full_name":"Zhu, Mingzhao","last_name":"Zhu"},{"full_name":"Hull, Kenneth","first_name":"Kenneth","last_name":"Hull"},{"last_name":"Romo","full_name":"Romo, Daniel","first_name":"Daniel"},{"last_name":"Zeuschner","full_name":"Zeuschner, Dagmar","first_name":"Dagmar"},{"first_name":"Mohammad","full_name":"Goudarzi, Mohammad","last_name":"Goudarzi","id":"3384113A-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Theresa","full_name":"Gross-Thebing, Theresa","last_name":"Gross-Thebing"},{"last_name":"Raz","full_name":"Raz, Erez","first_name":"Erez"}],"doi":"10.1016/j.devcel.2023.06.009","publisher":"Elsevier","language":[{"iso":"eng"}],"type":"journal_article","day":"11","keyword":["Developmental Biology","Cell Biology","General Biochemistry","Genetics and Molecular Biology","Molecular Biology"],"intvolume":" 58","citation":{"short":"K.J. Westerich, K. Tarbashevich, J. Schick, A. Gupta, M. Zhu, K. Hull, D. Romo, D. Zeuschner, M. Goudarzi, T. Gross-Thebing, E. Raz, Developmental Cell 58 (2023) 1578–1592.e5.","ama":"Westerich KJ, Tarbashevich K, Schick J, et al. Spatial organization and function of RNA molecules within phase-separated condensates in zebrafish are controlled by Dnd1. Developmental Cell. 2023;58(17):1578-1592.e5. doi:10.1016/j.devcel.2023.06.009","ista":"Westerich KJ, Tarbashevich K, Schick J, Gupta A, Zhu M, Hull K, Romo D, Zeuschner D, Goudarzi M, Gross-Thebing T, Raz E. 2023. Spatial organization and function of RNA molecules within phase-separated condensates in zebrafish are controlled by Dnd1. Developmental Cell. 58(17), 1578–1592.e5.","chicago":"Westerich, Kim Joana, Katsiaryna Tarbashevich, Jan Schick, Antra Gupta, Mingzhao Zhu, Kenneth Hull, Daniel Romo, et al. “Spatial Organization and Function of RNA Molecules within Phase-Separated Condensates in Zebrafish Are Controlled by Dnd1.” Developmental Cell. Elsevier, 2023. https://doi.org/10.1016/j.devcel.2023.06.009.","apa":"Westerich, K. J., Tarbashevich, K., Schick, J., Gupta, A., Zhu, M., Hull, K., … Raz, E. (2023). Spatial organization and function of RNA molecules within phase-separated condensates in zebrafish are controlled by Dnd1. Developmental Cell. Elsevier. https://doi.org/10.1016/j.devcel.2023.06.009","ieee":"K. J. Westerich et al., “Spatial organization and function of RNA molecules within phase-separated condensates in zebrafish are controlled by Dnd1,” Developmental Cell, vol. 58, no. 17. Elsevier, p. 1578–1592.e5, 2023.","mla":"Westerich, Kim Joana, et al. “Spatial Organization and Function of RNA Molecules within Phase-Separated Condensates in Zebrafish Are Controlled by Dnd1.” Developmental Cell, vol. 58, no. 17, Elsevier, 2023, p. 1578–1592.e5, doi:10.1016/j.devcel.2023.06.009."},"status":"public","abstract":[{"text":"Germ granules, condensates of phase-separated RNA and protein, are organelles that are essential for germline development in different organisms. The patterning of the granules and their relevance for germ cell fate are not fully understood. Combining three-dimensional in vivo structural and functional analyses, we study the dynamic spatial organization of molecules within zebrafish germ granules. We find that the localization of RNA molecules to the periphery of the granules, where ribosomes are localized, depends on translational activity at this location. In addition, we find that the vertebrate-specific Dead end (Dnd1) protein is essential for nanos3 RNA localization at the condensates’ periphery. Accordingly, in the absence of Dnd1, or when translation is inhibited, nanos3 RNA translocates into the granule interior, away from the ribosomes, a process that is correlated with the loss of germ cell fate. These findings highlight the relevance of sub-granule compartmentalization for post-transcriptional control and its importance for preserving germ cell totipotency.","lang":"eng"}],"acknowledgement":"We thank Celeste Brennecka for editing and Michal Reichman-Fried for critical comments on the manuscript. We thank Ursula Jordan, Esther Messerschmidt, and Ines Sandbote for technical assistance. This work was supported by funding from the University of Münster (K.J.W., K.T., E.R., A.G., T.G.-T., J.S., and M.G.), the Max Planck Institute for Molecular Biomedicine (D.Z.), the German Research Foundation grant CRU 326 (P2) RA863/12-2 (E.R.), Baylor University (K.H. and D.R.), and the National Institutes of Health grant R35 GM 134910 (D.R.). We thank the referees for insightful comments that helped improve the manuscript.","department":[{"_id":"Bio"}],"month":"09","_id":"14781","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","title":"Spatial organization and function of RNA molecules within phase-separated condensates in zebrafish are controlled by Dnd1","oa":1,"article_type":"original"},{"keyword":["Biophysics"],"citation":{"apa":"Baldauf, L., Frey, F. F., Arribas Perez, M., Idema, T., & Koenderink, G. H. (2023). Branched actin cortices reconstituted in vesicles sense membrane curvature. Biophysical Journal. Elsevier. https://doi.org/10.1016/j.bpj.2023.02.018","chicago":"Baldauf, Lucia, Felix F Frey, Marcos Arribas Perez, Timon Idema, and Gijsje H. Koenderink. “Branched Actin Cortices Reconstituted in Vesicles Sense Membrane Curvature.” Biophysical Journal. Elsevier, 2023. https://doi.org/10.1016/j.bpj.2023.02.018.","ista":"Baldauf L, Frey FF, Arribas Perez M, Idema T, Koenderink GH. 2023. Branched actin cortices reconstituted in vesicles sense membrane curvature. Biophysical Journal. 122(11), 2311–2324.","ieee":"L. Baldauf, F. F. Frey, M. Arribas Perez, T. Idema, and G. H. Koenderink, “Branched actin cortices reconstituted in vesicles sense membrane curvature,” Biophysical Journal, vol. 122, no. 11. Elsevier, pp. 2311–2324, 2023.","mla":"Baldauf, Lucia, et al. “Branched Actin Cortices Reconstituted in Vesicles Sense Membrane Curvature.” Biophysical Journal, vol. 122, no. 11, Elsevier, 2023, pp. 2311–24, doi:10.1016/j.bpj.2023.02.018.","short":"L. Baldauf, F.F. Frey, M. Arribas Perez, T. Idema, G.H. Koenderink, Biophysical Journal 122 (2023) 2311–2324.","ama":"Baldauf L, Frey FF, Arribas Perez M, Idema T, Koenderink GH. Branched actin cortices reconstituted in vesicles sense membrane curvature. Biophysical Journal. 2023;122(11):2311-2324. doi:10.1016/j.bpj.2023.02.018"},"intvolume":" 122","day":"06","has_accepted_license":"1","status":"public","abstract":[{"lang":"eng","text":"The actin cortex is a complex cytoskeletal machinery that drives and responds to changes in cell shape. It must generate or adapt to plasma membrane curvature to facilitate diverse functions such as cell division, migration, and phagocytosis. Due to the complex molecular makeup of the actin cortex, it remains unclear whether actin networks are inherently able to sense and generate membrane curvature, or whether they rely on their diverse binding partners to accomplish this. Here, we show that curvature sensing is an inherent capability of branched actin networks nucleated by Arp2/3 and VCA. We develop a robust method to encapsulate actin inside giant unilamellar vesicles (GUVs) and assemble an actin cortex at the inner surface of the GUV membrane. We show that actin forms a uniform and thin cortical layer when present at high concentration and distinct patches associated with negative membrane curvature at low concentration. Serendipitously, we find that the GUV production method also produces dumbbell-shaped GUVs, which we explain using mathematical modeling in terms of membrane hemifusion of nested GUVs. We find that branched actin networks preferentially assemble at the neck of the dumbbells, which possess a micrometer-range convex curvature comparable with the curvature of the actin patches found in spherical GUVs. Minimal branched actin networks can thus sense membrane curvature, which may help mammalian cells to robustly recruit actin to curved membranes to facilitate diverse cellular functions such as cytokinesis and migration."}],"department":[{"_id":"AnSa"}],"acknowledgement":"We thank Jeffrey den Haan for protein purification, Kristina Ganzinger (AMOLF) for providing the 10xHis VCA construct, David Kovar (University of Chicago) for the CP constructs, and Michael Way (Crick Institute) for providing purified human Arp2/3 proteins. We are grateful to Iris Lambert for early actin encapsulation experiments that formed the basis for establishing the eDICE method, to Federico Fanalista for acquiring images of dumbbell-shaped GUVs in samples produced by cDICE, and to Tom Aarts for images of dumbbell-shaped GUVs produced by gel-assisted swelling. Lennard van Buren is thanked for his help with image analysis to quantify actin concentrations in GUVs. We thank Kristina Ganzinger (AMOLF) for hosting us to perform pyrene assays in her lab, and Balász Antalicz (AMOLF) for technical assistance with the spectrophotometer. The authors also thank Matthieu Piel and Daniel Fletcher for insightful and inspiring discussions. We acknowledge financial support from The Netherlands Organization of Scientific Research (NWO/OCW) Gravitation program Building a Synthetic Cell (BaSyC) (024.003.019). F.F. gratefully acknowledges funding from the Kavli Synergy program of the Kavli Institute of Nanoscience Delft.","publication_status":"published","title":"Branched actin cortices reconstituted in vesicles sense membrane curvature","oa":1,"related_material":{"link":[{"relation":"software","url":"https://github.com/BioSoftMatterGroup/actin-curvature-sensing"}]},"article_type":"original","_id":"14782","month":"06","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"issn":["0006-3495"]},"pmid":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)"},"article_processing_charge":"Yes (in subscription journal)","isi":1,"file":[{"checksum":"70566e54cd95ea6df340909ad44c5cd5","relation":"main_file","creator":"dernst","file_size":3285810,"file_name":"2023_BiophysicalJournal_Baldauf.pdf","date_updated":"2024-01-16T09:09:29Z","success":1,"access_level":"open_access","file_id":"14807","content_type":"application/pdf","date_created":"2024-01-16T09:09:29Z"}],"volume":122,"date_created":"2024-01-10T09:45:48Z","year":"2023","page":"2311-2324","quality_controlled":"1","date_updated":"2024-01-16T09:20:03Z","issue":"11","publication":"Biophysical Journal","author":[{"last_name":"Baldauf","first_name":"Lucia","full_name":"Baldauf, Lucia"},{"id":"a0270b37-8f1a-11ec-95c7-8e710c59a4f3","last_name":"Frey","first_name":"Felix F","full_name":"Frey, Felix F"},{"full_name":"Arribas Perez, Marcos","first_name":"Marcos","last_name":"Arribas Perez"},{"last_name":"Idema","full_name":"Idema, Timon","first_name":"Timon"},{"full_name":"Koenderink, Gijsje H.","first_name":"Gijsje H.","last_name":"Koenderink"}],"ddc":["570"],"oa_version":"Published Version","external_id":{"pmid":["36806830"],"isi":["001016792600001"]},"date_published":"2023-06-06T00:00:00Z","language":[{"iso":"eng"}],"type":"journal_article","file_date_updated":"2024-01-16T09:09:29Z","doi":"10.1016/j.bpj.2023.02.018","publisher":"Elsevier"},{"department":[{"_id":"JaMa"}],"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.","publication_status":"published","title":"Ergodic decomposition of Dirichlet forms via direct integrals and applications","oa":1,"article_type":"original","_id":"10145","month":"03","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"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","short":"L. Dello Schiavo, Potential Analysis 58 (2023) 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.","ieee":"L. Dello Schiavo, “Ergodic decomposition of Dirichlet forms via direct integrals and applications,” Potential Analysis, vol. 58. Springer Nature, pp. 573–615, 2023.","ista":"Dello Schiavo L. 2023. Ergodic decomposition of Dirichlet forms via direct integrals and applications. Potential Analysis. 58, 573–615.","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","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."},"intvolume":" 58","day":"01","has_accepted_license":"1","status":"public","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"}],"ec_funded":1,"publication":"Potential Analysis","author":[{"last_name":"Dello Schiavo","full_name":"Dello Schiavo, Lorenzo","first_name":"Lorenzo","orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E"}],"ddc":["510"],"oa_version":"Published Version","external_id":{"arxiv":["2003.01366"],"isi":["000704213400001"]},"date_published":"2023-03-01T00:00:00Z","language":[{"iso":"eng"}],"arxiv":1,"type":"journal_article","file_date_updated":"2023-10-04T09:18:59Z","doi":"10.1007/s11118-021-09951-y","publisher":"Springer Nature","publication_identifier":{"issn":["0926-2601"],"eissn":["1572-929X"]},"scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","isi":1,"file":[{"relation":"main_file","checksum":"625526482be300ca7281c91c30d41725","file_size":806391,"creator":"dernst","file_name":"2023_PotentialAnalysis_DelloSchiavo.pdf","content_type":"application/pdf","file_id":"14387","date_created":"2023-10-04T09:18:59Z","access_level":"open_access","success":1,"date_updated":"2023-10-04T09:18:59Z"}],"volume":58,"date_created":"2021-10-17T22:01:17Z","year":"2023","page":"573-615","quality_controlled":"1","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"},{"call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425"}],"date_updated":"2023-10-04T09:19:12Z"},{"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).","department":[{"_id":"JuFi"}],"title":"Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields","oa":1,"publication_status":"published","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"10173","month":"09","intvolume":" 11","citation":{"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","short":"N. Clozeau, Stochastics and Partial Differential Equations: Analysis and Computations 11 (2023) 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.","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.","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.","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","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."},"day":"01","has_accepted_license":"1","status":"public","abstract":[{"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.","lang":"eng"}],"publication":"Stochastics and Partial Differential Equations: Analysis and Computations","ddc":["510"],"author":[{"first_name":"Nicolas","full_name":"Clozeau, Nicolas","last_name":"Clozeau","id":"fea1b376-906f-11eb-847d-b2c0cf46455b"}],"oa_version":"Published Version","external_id":{"arxiv":["2102.07452"],"isi":["000799715600001"]},"date_published":"2023-09-01T00:00:00Z","arxiv":1,"language":[{"iso":"eng"}],"file_date_updated":"2023-08-14T11:51:04Z","type":"journal_article","doi":"10.1007/s40072-022-00254-w","publisher":"Springer Nature","publication_identifier":{"issn":["2194-0401"]},"scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)","volume":11,"file":[{"file_name":"2023_StochPartialDiffEquations_Clozeau.pdf","access_level":"open_access","success":1,"date_updated":"2023-08-14T11:51:04Z","date_created":"2023-08-14T11:51:04Z","content_type":"application/pdf","file_id":"14052","checksum":"f83dcaecdbd3ace862c4ed97a20e8501","relation":"main_file","creator":"dernst","file_size":1635193}],"isi":1,"quality_controlled":"1","page":"1254–1378","year":"2023","date_created":"2021-10-23T10:50:22Z","date_updated":"2023-08-14T11:51:47Z"},{"file":[{"content_type":"application/pdf","date_created":"2023-10-04T09:21:48Z","file_id":"14388","success":1,"access_level":"open_access","date_updated":"2023-10-04T09:21:48Z","file_name":"2023_CommPureMathematics_Cipolloni.pdf","file_size":803440,"creator":"dernst","relation":"main_file","checksum":"8346bc2642afb4ccb7f38979f41df5d9"}],"isi":1,"volume":76,"date_created":"2021-12-05T23:01:41Z","year":"2023","quality_controlled":"1","page":"946-1034","project":[{"call_identifier":"FP7","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"},{"grant_number":"665385","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"date_updated":"2023-10-04T09:22:55Z","publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)"},"article_processing_charge":"Yes (via OA deal)","arxiv":1,"language":[{"iso":"eng"}],"type":"journal_article","file_date_updated":"2023-10-04T09:21:48Z","doi":"10.1002/cpa.22028","publisher":"Wiley","issue":"5","publication":"Communications on Pure and Applied Mathematics","author":[{"last_name":"Cipolloni","full_name":"Cipolloni, Giorgio","first_name":"Giorgio","orcid":"0000-0002-4901-7992","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","full_name":"Erdös, László","last_name":"Erdös"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2904-1856","last_name":"Schröder","first_name":"Dominik J","full_name":"Schröder, Dominik J"}],"ddc":["510"],"oa_version":"Published Version","external_id":{"isi":["000724652500001"],"arxiv":["1912.04100"]},"date_published":"2023-05-01T00:00:00Z","status":"public","abstract":[{"lang":"eng","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]. "}],"ec_funded":1,"intvolume":" 76","citation":{"short":"G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.","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","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","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.","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.","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."},"day":"01","has_accepted_license":"1","publication_status":"published","oa":1,"title":"Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices","article_type":"original","month":"05","_id":"10405","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","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.","department":[{"_id":"LaEr"}]},{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10550","month":"06","article_type":"original","oa":1,"title":"Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion","publication_status":"published","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.","department":[{"_id":"JuFi"}],"abstract":[{"lang":"eng","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."}],"article_number":"66","status":"public","has_accepted_license":"1","day":"07","intvolume":" 33","citation":{"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","short":"K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, Journal of Nonlinear Science 33 (2023).","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.","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.","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.","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.","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"},"publisher":"Springer Nature","doi":"10.1007/s00332-023-09926-w","file_date_updated":"2023-06-19T07:33:53Z","type":"journal_article","arxiv":1,"language":[{"iso":"eng"}],"date_published":"2023-06-07T00:00:00Z","external_id":{"arxiv":["2109.12019"],"isi":["001002343400002"]},"oa_version":"Published Version","ddc":["510"],"author":[{"first_name":"Klemens","full_name":"Fellner, Klemens","last_name":"Fellner"},{"last_name":"Fischer","first_name":"Julian L","full_name":"Fischer, Julian L","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0479-558X"},{"orcid":"0000-0001-5645-4333","id":"2CA2C08C-F248-11E8-B48F-1D18A9856A87","last_name":"Kniely","full_name":"Kniely, Michael","first_name":"Michael"},{"last_name":"Tang","first_name":"Bao Quoc","full_name":"Tang, Bao Quoc"}],"publication":"Journal of Nonlinear Science","date_updated":"2023-08-01T14:40:33Z","quality_controlled":"1","year":"2023","date_created":"2021-12-16T12:15:35Z","volume":33,"isi":1,"file":[{"relation":"main_file","checksum":"f3f0f0886098e31c81116cff8183750b","file_size":742315,"creator":"dernst","file_name":"2023_JourNonlinearScience_Fellner.pdf","file_id":"13149","content_type":"application/pdf","date_created":"2023-06-19T07:33:53Z","success":1,"access_level":"open_access","date_updated":"2023-06-19T07:33:53Z"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"No","scopus_import":"1","publication_identifier":{"issn":["0938-8974"],"eissn":["1432-1467"]}},{"article_type":"original","publication_status":"published","oa":1,"title":"The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles","_id":"10551","month":"08","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"JuFi"}],"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).","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."}],"status":"public","article_number":"76","ec_funded":1,"intvolume":" 247","citation":{"short":"F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247 (2023).","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","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.","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","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.","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.","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."},"has_accepted_license":"1","day":"04","type":"journal_article","file_date_updated":"2024-01-30T12:09:34Z","arxiv":1,"language":[{"iso":"eng"}],"publisher":"Springer Nature","doi":"10.1007/s00205-023-01903-7","author":[{"orcid":"0000-0002-6269-5149","id":"2CEB641C-A400-11E9-A717-D712E6697425","last_name":"Cornalba","full_name":"Cornalba, Federico","first_name":"Federico"},{"id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0479-558X","last_name":"Fischer","first_name":"Julian L","full_name":"Fischer, Julian L"}],"ddc":["510"],"publication":"Archive for Rational Mechanics and Analysis","issue":"5","date_published":"2023-08-04T00:00:00Z","external_id":{"arxiv":["2109.06500"],"isi":["001043086800001"]},"oa_version":"Published Version","file":[{"file_name":"2023_ArchiveRationalMech_Cornalba.pdf","file_id":"14904","date_created":"2024-01-30T12:09:34Z","content_type":"application/pdf","access_level":"open_access","success":1,"date_updated":"2024-01-30T12:09:34Z","relation":"main_file","checksum":"4529eeff170b6745a461d397ee611b5a","file_size":1851185,"creator":"dernst"}],"isi":1,"volume":247,"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"date_updated":"2024-01-30T12:10:10Z","date_created":"2021-12-16T12:16:03Z","year":"2023","quality_controlled":"1","scopus_import":"1","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"Yes (via OA deal)"},{"date_published":"2023-03-01T00:00:00Z","oa_version":"Published Version","external_id":{"isi":["000753777100001"]},"author":[{"first_name":"Thomas","full_name":"Graham, Thomas","last_name":"Graham"},{"id":"4E21749C-F248-11E8-B48F-1D18A9856A87","first_name":"Maria","full_name":"Kleshnina, Maria","last_name":"Kleshnina"},{"first_name":"Jerzy A.","full_name":"Filar, Jerzy A.","last_name":"Filar"}],"ddc":["000"],"publication":"Dynamic Games and Applications","publisher":"Springer Nature","doi":"10.1007/s13235-022-00425-3","type":"journal_article","file_date_updated":"2022-02-21T08:54:17Z","language":[{"iso":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"article_processing_charge":"No","scopus_import":"1","publication_identifier":{"issn":["2153-0785"],"eissn":["2153-0793"]},"project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"date_updated":"2023-10-04T09:24:30Z","year":"2023","date_created":"2022-02-20T23:01:32Z","quality_controlled":"1","page":"231-264","file":[{"file_size":1890512,"creator":"dernst","relation":"main_file","checksum":"cd53b07e96f9030ddb348f305e5b58c7","date_created":"2022-02-21T08:54:17Z","file_id":"10781","content_type":"application/pdf","date_updated":"2022-02-21T08:54:17Z","access_level":"open_access","success":1,"file_name":"2022_DynamicGamesApplic_Graham.pdf"}],"isi":1,"volume":13,"department":[{"_id":"KrCh"}],"acknowledgement":"The authors would like to acknowledge stimulating email discussions with Dr Wayne Lobb of W.A. Lobb LLC on the topic of evolutionary games. We also thank Dr Thomas Taimre for his input to the material in Sect. 3.\r\nThe authors would like to acknowledge partial support from the Australian Research Council under the Discovery grant DP180101602 and support by the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement #754411.","_id":"10770","month":"03","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","publication_status":"published","title":"Where do mistakes lead? A survey of games with incompetent players","oa":1,"has_accepted_license":"1","day":"01","intvolume":" 13","citation":{"short":"T. Graham, M. Kleshnina, J.A. Filar, Dynamic Games and Applications 13 (2023) 231–264.","ama":"Graham T, Kleshnina M, Filar JA. Where do mistakes lead? A survey of games with incompetent players. Dynamic Games and Applications. 2023;13:231-264. doi:10.1007/s13235-022-00425-3","apa":"Graham, T., Kleshnina, M., & Filar, J. A. (2023). Where do mistakes lead? A survey of games with incompetent players. Dynamic Games and Applications. Springer Nature. https://doi.org/10.1007/s13235-022-00425-3","ista":"Graham T, Kleshnina M, Filar JA. 2023. Where do mistakes lead? A survey of games with incompetent players. Dynamic Games and Applications. 13, 231–264.","chicago":"Graham, Thomas, Maria Kleshnina, and Jerzy A. Filar. “Where Do Mistakes Lead? A Survey of Games with Incompetent Players.” Dynamic Games and Applications. Springer Nature, 2023. https://doi.org/10.1007/s13235-022-00425-3.","mla":"Graham, Thomas, et al. “Where Do Mistakes Lead? A Survey of Games with Incompetent Players.” Dynamic Games and Applications, vol. 13, Springer Nature, 2023, pp. 231–64, doi:10.1007/s13235-022-00425-3.","ieee":"T. Graham, M. Kleshnina, and J. A. Filar, “Where do mistakes lead? A survey of games with incompetent players,” Dynamic Games and Applications, vol. 13. Springer Nature, pp. 231–264, 2023."},"ec_funded":1,"abstract":[{"lang":"eng","text":"Mathematical models often aim to describe a complicated mechanism in a cohesive and simple manner. However, reaching perfect balance between being simple enough or overly simplistic is a challenging task. Frequently, game-theoretic models have an underlying assumption that players, whenever they choose to execute a specific action, do so perfectly. In fact, it is rare that action execution perfectly coincides with intentions of individuals, giving rise to behavioural mistakes. The concept of incompetence of players was suggested to address this issue in game-theoretic settings. Under the assumption of incompetence, players have non-zero probabilities of executing a different strategy from the one they chose, leading to stochastic outcomes of the interactions. In this article, we survey results related to the concept of incompetence in classic as well as evolutionary game theory and provide several new results. We also suggest future extensions of the model and argue why it is important to take into account behavioural mistakes when analysing interactions among players in both economic and biological settings."}],"status":"public"},{"isi":1,"quality_controlled":"1","year":"2023","date_created":"2021-07-14T07:01:27Z","date_updated":"2024-01-11T13:06:32Z","publication_identifier":{"eissn":["1572-9168"],"issn":["0046-5755"]},"scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s10711-023-00862-3"}],"article_processing_charge":"Yes (via OA deal)","language":[{"iso":"eng"}],"arxiv":1,"type":"journal_article","doi":"10.1007/s10711-023-00862-3","publisher":"Springer Nature","publication":"Geometriae Dedicata","author":[{"last_name":"Dymond","full_name":"Dymond, Michael","first_name":"Michael"},{"orcid":"0000-0002-2512-8698","id":"21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E","full_name":"Kaluza, Vojtech","first_name":"Vojtech","last_name":"Kaluza"}],"external_id":{"arxiv":["2102.13046"],"isi":["001105681500001"]},"oa_version":"Published Version","date_published":"2023-11-17T00:00:00Z","article_number":"15","status":"public","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"}],"citation":{"ieee":"M. Dymond and V. Kaluza, “Divergence of separated nets with respect to displacement equivalence,” Geometriae Dedicata. Springer Nature, 2023.","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.","ista":"Dymond M, Kaluza V. 2023. Divergence of separated nets with respect to displacement equivalence. Geometriae Dedicata., 15.","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.","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","ama":"Dymond M, Kaluza V. Divergence of separated nets with respect to displacement equivalence. Geometriae Dedicata. 2023. doi:10.1007/s10711-023-00862-3","short":"M. Dymond, V. Kaluza, Geometriae Dedicata (2023)."},"day":"17","title":"Divergence of separated nets with respect to displacement equivalence","oa":1,"publication_status":"epub_ahead","article_type":"original","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"9651","month":"11","department":[{"_id":"UlWa"}],"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."},{"has_accepted_license":"1","day":"01","citation":{"short":"M. Dymond, V. Kaluza, Israel Journal of Mathematics 253 (2023) 501–554.","ama":"Dymond M, Kaluza V. Highly irregular separated nets. Israel Journal of Mathematics. 2023;253:501-554. doi:10.1007/s11856-022-2448-6","ista":"Dymond M, Kaluza V. 2023. Highly irregular separated nets. Israel Journal of Mathematics. 253, 501–554.","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","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.","ieee":"M. Dymond and V. Kaluza, “Highly irregular separated nets,” Israel Journal of Mathematics, vol. 253. Springer Nature, pp. 501–554, 2023.","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."},"intvolume":" 253","keyword":["Lipschitz","bilipschitz","bounded displacement","modulus of continuity","separated net","non-realisable density","Burago--Kleiner construction"],"abstract":[{"lang":"eng","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."}],"status":"public","department":[{"_id":"UlWa"}],"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.","month":"03","_id":"9652","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","publication_status":"published","title":"Highly irregular separated nets","oa":1,"article_processing_charge":"No","scopus_import":"1","publication_identifier":{"eissn":["1565-8511"]},"date_updated":"2023-08-14T11:26:34Z","date_created":"2021-07-14T07:01:28Z","year":"2023","quality_controlled":"1","page":"501-554","isi":1,"file":[{"relation":"main_file","checksum":"6fa0a3207dd1d6467c309fd1bcc867d1","file_size":900422,"creator":"vkaluza","file_name":"separated_nets.pdf","date_created":"2021-07-14T07:41:50Z","content_type":"application/pdf","file_id":"9653","access_level":"open_access","date_updated":"2021-07-14T07:41:50Z"}],"volume":253,"date_published":"2023-03-01T00:00:00Z","oa_version":"Submitted Version","external_id":{"arxiv":["1903.05923"],"isi":["000904950300003"]},"author":[{"full_name":"Dymond, Michael","first_name":"Michael","last_name":"Dymond"},{"orcid":"0000-0002-2512-8698","id":"21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E","full_name":"Kaluza, Vojtech","first_name":"Vojtech","last_name":"Kaluza"}],"ddc":["515","516"],"publication":"Israel Journal of Mathematics","publisher":"Springer Nature","doi":"10.1007/s11856-022-2448-6","type":"journal_article","file_date_updated":"2021-07-14T07:41:50Z","language":[{"iso":"eng"}],"arxiv":1},{"article_processing_charge":"No","scopus_import":"1","publication_identifier":{"issn":["0930-7575"],"eissn":["1432-0894"]},"date_updated":"2023-06-28T11:49:58Z","page":"427-442","quality_controlled":"1","year":"2023","date_created":"2022-06-05T22:01:50Z","volume":60,"isi":1,"date_published":"2023-01-01T00:00:00Z","external_id":{"isi":["000803119400002"]},"oa_version":"None","author":[{"id":"3a4ac09c-6d61-11ec-bf66-884cde66b64b","full_name":"Goswami, Bidyut B","first_name":"Bidyut B","last_name":"Goswami"}],"publication":"Climate Dynamics","publisher":"Springer Nature","doi":"10.1007/s00382-022-06337-7","type":"journal_article","language":[{"iso":"eng"}],"day":"01","citation":{"short":"B.B. GOSWAMI, Climate Dynamics 60 (2023) 427–442.","ama":"GOSWAMI BB. Role of the eastern equatorial Indian Ocean warming in the Indian summer monsoon rainfall trend. Climate Dynamics. 2023;60:427-442. doi:10.1007/s00382-022-06337-7","chicago":"GOSWAMI, BIDYUT B. “Role of the Eastern Equatorial Indian Ocean Warming in the Indian Summer Monsoon Rainfall Trend.” Climate Dynamics. Springer Nature, 2023. https://doi.org/10.1007/s00382-022-06337-7.","ista":"GOSWAMI BB. 2023. Role of the eastern equatorial Indian Ocean warming in the Indian summer monsoon rainfall trend. Climate Dynamics. 60, 427–442.","apa":"GOSWAMI, B. B. (2023). Role of the eastern equatorial Indian Ocean warming in the Indian summer monsoon rainfall trend. Climate Dynamics. Springer Nature. https://doi.org/10.1007/s00382-022-06337-7","ieee":"B. B. GOSWAMI, “Role of the eastern equatorial Indian Ocean warming in the Indian summer monsoon rainfall trend,” Climate Dynamics, vol. 60. Springer Nature, pp. 427–442, 2023.","mla":"GOSWAMI, BIDYUT B. “Role of the Eastern Equatorial Indian Ocean Warming in the Indian Summer Monsoon Rainfall Trend.” Climate Dynamics, vol. 60, Springer Nature, 2023, pp. 427–42, doi:10.1007/s00382-022-06337-7."},"intvolume":" 60","abstract":[{"lang":"eng","text":"The Indian summer monsoon rainfall (ISMR) has been declining since the 1950s. However, since 2002 it is reported to have revived. For these observed changes in the ISMR, several explanations have been reported. Among these explanations, however, the role of the eastern equatorial Indian Ocean (EEIO) is missing despite being one of the warmest regions in the Indian Ocean, and monotonously warming. A recent study reported that EEIO warming impacts the rainfall over northern India. Here we report that warming in the EEIO weakens the low-level Indian summer monsoon circulation and reduces ISMR. A warm EEIO drives easterly winds in the Indo–Pacific sector as a Gill response. The warm EEIO also enhances nocturnal convection offshore the western coast of Sumatra. The latent heating associated with the increased convection augments the Gill response and the resultant circulation opposes the monsoon low-level circulation and weakens the seasonal rainfall."}],"status":"public","acknowledgement":"This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2018R1A5A1024958). Model simulation and data transfer were supported by the National Supercomputing Center with supercomputing resources including technical support (KSC-2019-CHA-0005), the National Center for Meteorological Supercomputer of Korea Meteorological Administration, and by the Korea Research Environment Open NETwork (KREONET), respectively. The authors declare no conflicts of interest.","department":[{"_id":"CaMu"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"11434","month":"01","article_type":"original","title":"Role of the eastern equatorial Indian Ocean warming in the Indian summer monsoon rainfall trend","related_material":{"link":[{"url":" https://doi.org/10.1007/s00382-022-06401-2","relation":"erratum"}]},"publication_status":"published"},{"abstract":[{"text":"Understanding population divergence that eventually leads to speciation is essential for evolutionary biology. High species diversity in the sea was regarded as a paradox when strict allopatry was considered necessary for most speciation events because geographical barriers seemed largely absent in the sea, and many marine species have high dispersal capacities. Combining genome-wide data with demographic modelling to infer the demographic history of divergence has introduced new ways to address this classical issue. These models assume an ancestral population that splits into two subpopulations diverging according to different scenarios that allow tests for periods of gene flow. Models can also test for heterogeneities in population sizes and migration rates along the genome to account, respectively, for background selection and selection against introgressed ancestry. To investigate how barriers to gene flow arise in the sea, we compiled studies modelling the demographic history of divergence in marine organisms and extracted preferred demographic scenarios together with estimates of demographic parameters. These studies show that geographical barriers to gene flow do exist in the sea but that divergence can also occur without strict isolation. Heterogeneity of gene flow was detected in most population pairs suggesting the predominance of semipermeable barriers during divergence. We found a weak positive relationship between the fraction of the genome experiencing reduced gene flow and levels of genome-wide differentiation. Furthermore, we found that the upper bound of the ‘grey zone of speciation’ for our dataset extended beyond that found before, implying that gene flow between diverging taxa is possible at higher levels of divergence than previously thought. Finally, we list recommendations for further strengthening the use of demographic modelling in speciation research. These include a more balanced representation of taxa, more consistent and comprehensive modelling, clear reporting of results and simulation studies to rule out nonbiological explanations for general results.","lang":"eng"}],"status":"public","has_accepted_license":"1","day":"01","intvolume":" 16","citation":{"ieee":"A. De Jode et al., “Ten years of demographic modelling of divergence and speciation in the sea,” Evolutionary Applications, vol. 16, no. 2. Wiley, pp. 542–559, 2023.","mla":"De Jode, Aurélien, et al. “Ten Years of Demographic Modelling of Divergence and Speciation in the Sea.” Evolutionary Applications, vol. 16, no. 2, Wiley, 2023, pp. 542–59, doi:10.1111/eva.13428.","ista":"De Jode A, Le Moan A, Johannesson K, Faria R, Stankowski S, Westram AM, Butlin RK, Rafajlović M, Fraisse C. 2023. Ten years of demographic modelling of divergence and speciation in the sea. Evolutionary Applications. 16(2), 542–559.","apa":"De Jode, A., Le Moan, A., Johannesson, K., Faria, R., Stankowski, S., Westram, A. M., … Fraisse, C. (2023). Ten years of demographic modelling of divergence and speciation in the sea. Evolutionary Applications. Wiley. https://doi.org/10.1111/eva.13428","chicago":"De Jode, Aurélien, Alan Le Moan, Kerstin Johannesson, Rui Faria, Sean Stankowski, Anja M Westram, Roger K. Butlin, Marina Rafajlović, and Christelle Fraisse. “Ten Years of Demographic Modelling of Divergence and Speciation in the Sea.” Evolutionary Applications. Wiley, 2023. https://doi.org/10.1111/eva.13428.","ama":"De Jode A, Le Moan A, Johannesson K, et al. Ten years of demographic modelling of divergence and speciation in the sea. Evolutionary Applications. 2023;16(2):542-559. doi:10.1111/eva.13428","short":"A. De Jode, A. Le Moan, K. Johannesson, R. Faria, S. Stankowski, A.M. Westram, R.K. Butlin, M. Rafajlović, C. Fraisse, Evolutionary Applications 16 (2023) 542–559."},"_id":"11479","month":"02","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","publication_status":"published","title":"Ten years of demographic modelling of divergence and speciation in the sea","oa":1,"department":[{"_id":"NiBa"},{"_id":"BeVi"}],"acknowledgement":"We greatly thank all the corresponding authors of the studies that were included in our synthesis for the sharing of additional data: Thomas Broquet, Dmitry Filatov, Quentin Rougemont, Paolo Momigliano, Pierre-Alexandre Gagnaire, Carlos Prada, Ahmed Souissi, Michael Møller Hansen, Sylvie Lapègue, Joseph Di Battista, Michael Hellberg and Carlos Prada. RKB and ADJ were supported by the European Research Council. MR was supported by the Swedish Research Council Vetenskapsrådet (grant number 2021-05243; to MR) and Formas (grant number 2019-00882; to KJ and MR), and by additional grants from the European Research Council (to RKB) and Vetenskapsrådet (to KJ) through the Centre for Marine Evolutionary Biology (https://www.gu.se/en/cemeb-marine-evolutionary-biology).","date_updated":"2023-08-01T12:25:44Z","date_created":"2022-07-03T22:01:33Z","year":"2023","page":"542-559","quality_controlled":"1","file":[{"file_name":"2023_EvolutionaryApplications_DeJode.pdf","date_created":"2023-02-27T07:10:17Z","content_type":"application/pdf","file_id":"12685","access_level":"open_access","date_updated":"2023-02-27T07:10:17Z","success":1,"relation":"main_file","checksum":"d4d6fa9ddf36643af994a6a757919afb","file_size":2269822,"creator":"dernst"}],"isi":1,"volume":16,"article_processing_charge":"No","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"scopus_import":"1","publication_identifier":{"eissn":["1752-4571"]},"publisher":"Wiley","doi":"10.1111/eva.13428","type":"journal_article","file_date_updated":"2023-02-27T07:10:17Z","language":[{"iso":"eng"}],"date_published":"2023-02-01T00:00:00Z","oa_version":"Published Version","external_id":{"isi":["000815663700001"]},"author":[{"full_name":"De Jode, Aurélien","first_name":"Aurélien","last_name":"De Jode"},{"last_name":"Le Moan","full_name":"Le Moan, Alan","first_name":"Alan"},{"last_name":"Johannesson","full_name":"Johannesson, Kerstin","first_name":"Kerstin"},{"first_name":"Rui","full_name":"Faria, Rui","last_name":"Faria"},{"full_name":"Stankowski, Sean","first_name":"Sean","last_name":"Stankowski","id":"43161670-5719-11EA-8025-FABC3DDC885E"},{"full_name":"Westram, Anja M","first_name":"Anja M","last_name":"Westram","orcid":"0000-0003-1050-4969","id":"3C147470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Butlin","full_name":"Butlin, Roger K.","first_name":"Roger K."},{"full_name":"Rafajlović, Marina","first_name":"Marina","last_name":"Rafajlović"},{"orcid":"0000-0001-8441-5075","id":"32DF5794-F248-11E8-B48F-1D18A9856A87","last_name":"Fraisse","full_name":"Fraisse, Christelle","first_name":"Christelle"}],"ddc":["576"],"issue":"2","publication":"Evolutionary Applications"},{"department":[{"_id":"MaKw"}],"acknowledgement":"This work was started at the thematic program GRAPHS@IMPA (January–March 2018), in Rio de Janeiro. We thank IMPA and the organisers for the hospitality and for providing a pleasant research environment. We thank Rob Morris for helpful discussions, and the anonymous referees for their careful reading and many helpful suggestions. Open Access funding enabled and organized by Projekt DEAL.\r\nA. Liebenau was supported by an ARC DECRA Fellowship Grant DE170100789. L. Mattos was supported by CAPES and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy – The Berlin Mathematics Research Center MATH+ (EXC-2046/1, project ID: 390685689). W. Mendonça was supported by CAPES project 88882.332408/2010-01.","article_type":"original","oa":1,"title":"Asymmetric Ramsey properties of random graphs involving cliques and cycles","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"11706","month":"07","citation":{"ama":"Liebenau A, Mattos L, Mendonca dos Santos W, Skokan J. Asymmetric Ramsey properties of random graphs involving cliques and cycles. Random Structures and Algorithms. 2023;62(4):1035-1055. doi:10.1002/rsa.21106","short":"A. Liebenau, L. Mattos, W. Mendonca dos Santos, J. Skokan, Random Structures and Algorithms 62 (2023) 1035–1055.","ieee":"A. Liebenau, L. Mattos, W. Mendonca dos Santos, and J. Skokan, “Asymmetric Ramsey properties of random graphs involving cliques and cycles,” Random Structures and Algorithms, vol. 62, no. 4. Wiley, pp. 1035–1055, 2023.","mla":"Liebenau, Anita, et al. “Asymmetric Ramsey Properties of Random Graphs Involving Cliques and Cycles.” Random Structures and Algorithms, vol. 62, no. 4, Wiley, 2023, pp. 1035–55, doi:10.1002/rsa.21106.","chicago":"Liebenau, Anita, Letícia Mattos, Walner Mendonca dos Santos, and Jozef Skokan. “Asymmetric Ramsey Properties of Random Graphs Involving Cliques and Cycles.” Random Structures and Algorithms. Wiley, 2023. https://doi.org/10.1002/rsa.21106.","apa":"Liebenau, A., Mattos, L., Mendonca dos Santos, W., & Skokan, J. (2023). Asymmetric Ramsey properties of random graphs involving cliques and cycles. Random Structures and Algorithms. Wiley. https://doi.org/10.1002/rsa.21106","ista":"Liebenau A, Mattos L, Mendonca dos Santos W, Skokan J. 2023. Asymmetric Ramsey properties of random graphs involving cliques and cycles. Random Structures and Algorithms. 62(4), 1035–1055."},"intvolume":" 62","has_accepted_license":"1","day":"01","abstract":[{"lang":"eng","text":"We say that (Formula presented.) if, in every edge coloring (Formula presented.), we can find either a 1-colored copy of (Formula presented.) or a 2-colored copy of (Formula presented.). The well-known states that the threshold for the property (Formula presented.) is equal to (Formula presented.), where (Formula presented.) is given by (Formula presented.) for any pair of graphs (Formula presented.) and (Formula presented.) with (Formula presented.). In this article, we show the 0-statement of the Kohayakawa–Kreuter conjecture for every pair of cycles and cliques. "}],"status":"public","ddc":["510"],"author":[{"last_name":"Liebenau","full_name":"Liebenau, Anita","first_name":"Anita"},{"last_name":"Mattos","full_name":"Mattos, Letícia","first_name":"Letícia"},{"first_name":"Walner","full_name":"Mendonca Dos Santos, Walner","last_name":"Mendonca Dos Santos","id":"12c6bd4d-2cd0-11ec-a0da-e28f42f65ebd"},{"last_name":"Skokan","full_name":"Skokan, Jozef","first_name":"Jozef"}],"publication":"Random Structures and Algorithms","issue":"4","date_published":"2023-07-01T00:00:00Z","external_id":{"isi":["000828530400001"]},"oa_version":"Published Version","file_date_updated":"2023-10-04T09:37:26Z","type":"journal_article","language":[{"iso":"eng"}],"publisher":"Wiley","doi":"10.1002/rsa.21106","scopus_import":"1","publication_identifier":{"eissn":["1098-2418"],"issn":["1042-9832"]},"tmp":{"short":"CC BY-NC (4.0)","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","image":"/images/cc_by_nc.png"},"article_processing_charge":"Yes (in subscription journal)","volume":62,"isi":1,"file":[{"file_size":1362334,"creator":"dernst","relation":"main_file","checksum":"3a5969d0c512aef01c30f3dc81c6d59b","file_id":"14389","date_created":"2023-10-04T09:37:26Z","content_type":"application/pdf","date_updated":"2023-10-04T09:37:26Z","access_level":"open_access","success":1,"file_name":"2023_RandomStructureAlgorithms_Liebenau.pdf"}],"date_updated":"2023-10-04T09:38:45Z","quality_controlled":"1","page":"1035-1055","year":"2023","date_created":"2022-07-31T22:01:49Z"},{"publication_identifier":{"issn":["0178-8051"],"eissn":["1432-2064"]},"scopus_import":"1","article_processing_charge":"Yes (via OA deal)","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)"},"isi":1,"file":[{"creator":"dernst","file_size":782278,"checksum":"b9247827dae5544d1d19c37abe547abc","relation":"main_file","success":1,"access_level":"open_access","date_updated":"2023-08-14T12:47:32Z","date_created":"2023-08-14T12:47:32Z","content_type":"application/pdf","file_id":"14054","file_name":"2023_ProbabilityTheory_Cipolloni.pdf"}],"volume":185,"date_created":"2022-08-07T22:02:00Z","year":"2023","page":"1183–1218","quality_controlled":"1","date_updated":"2023-08-14T12:48:09Z","publication":"Probability Theory and Related Fields","author":[{"first_name":"Giorgio","full_name":"Cipolloni, Giorgio","last_name":"Cipolloni","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4901-7992"},{"orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","first_name":"László","last_name":"Erdös"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2904-1856","last_name":"Schröder","full_name":"Schröder, Dominik J","first_name":"Dominik J"}],"ddc":["510"],"external_id":{"isi":["000830344500001"],"arxiv":["2106.10200"]},"oa_version":"Published Version","date_published":"2023-04-01T00:00:00Z","language":[{"iso":"eng"}],"arxiv":1,"type":"journal_article","file_date_updated":"2023-08-14T12:47:32Z","doi":"10.1007/s00440-022-01156-7","publisher":"Springer Nature","intvolume":" 185","citation":{"apa":"Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-022-01156-7","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Quenched Universality for Deformed Wigner Matrices.” Probability Theory and Related Fields. Springer Nature, 2023. https://doi.org/10.1007/s00440-022-01156-7.","ista":"Cipolloni G, Erdös L, Schröder DJ. 2023. Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. 185, 1183–1218.","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Quenched universality for deformed Wigner matrices,” Probability Theory and Related Fields, vol. 185. Springer Nature, pp. 1183–1218, 2023.","mla":"Cipolloni, Giorgio, et al. “Quenched Universality for Deformed Wigner Matrices.” Probability Theory and Related Fields, vol. 185, Springer Nature, 2023, pp. 1183–1218, doi:10.1007/s00440-022-01156-7.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.","ama":"Cipolloni G, Erdös L, Schröder DJ. Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. 2023;185:1183–1218. doi:10.1007/s00440-022-01156-7"},"day":"01","has_accepted_license":"1","status":"public","abstract":[{"text":"Following E. Wigner’s original vision, we prove that sampling the eigenvalue gaps within the bulk spectrum of a fixed (deformed) Wigner matrix H yields the celebrated Wigner-Dyson-Mehta universal statistics with high probability. Similarly, we prove universality for a monoparametric family of deformed Wigner matrices H+xA with a deterministic Hermitian matrix A and a fixed Wigner matrix H, just using the randomness of a single scalar real random variable x. Both results constitute quenched versions of bulk universality that has so far only been proven in annealed sense with respect to the probability space of the matrix ensemble.","lang":"eng"}],"department":[{"_id":"LaEr"}],"acknowledgement":"The authors are indebted to Sourav Chatterjee for forwarding the very inspiring question that Stephen Shenker originally addressed to him which initiated the current paper. They are also grateful that the authors of [23] kindly shared their preliminary numerical results in June 2021.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","publication_status":"published","oa":1,"title":"Quenched universality for deformed Wigner matrices","article_type":"original","_id":"11741","month":"04","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}]