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We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.","lang":"eng"}],"doi":"10.1137/19m126284x","publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"publication_status":"published","status":"public","acknowledgement":"We are grateful for the hospitality at the Mittag-Leffler Institute, where part of this work has been done. The work of the authors was supported by the European Research Council (ERC)under the European Union's Horizon 2020 research and innovation programme grant 694227.","ec_funded":1,"day":"12","citation":{"chicago":"Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis. 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The vast majority of cortical projection neurons and certain classes of glial cells are generated by radial glial progenitor cells (RGPs) in a highly orchestrated manner. Recent studies employing single cell analysis and clonal lineage tracing suggest that NSC and RGP lineage progression are regulated in a profound deterministic manner. In this review we focus on recent advances based mainly on correlative phenotypic data emerging from functional genetic studies in mice. We establish hypotheses to test in future research and outline a conceptual framework how epigenetic cues modulate the generation of cell-type diversity during cortical development. This article is protected by copyright. All rights reserved.","lang":"eng"}],"project":[{"name":"Mapping Cell-Type Specificity of the Genomic Imprintome in the Brain","_id":"25D92700-B435-11E9-9278-68D0E5697425","grant_number":"LS13-002"},{"_id":"25D7962E-B435-11E9-9278-68D0E5697425","grant_number":"RGP0053/2014","name":"Quantitative Structure-Function Analysis of Cerebral Cortex Assembly at Clonal Level"},{"call_identifier":"FP7","name":"Molecular Mechanisms of Cerebral Cortex Development","_id":"25D61E48-B435-11E9-9278-68D0E5697425","grant_number":"618444"},{"name":"Principles of Neural Stem Cell Lineage Progression in Cerebral Cortex Development","call_identifier":"H2020","grant_number":"725780","_id":"260018B0-B435-11E9-9278-68D0E5697425"}],"ec_funded":1,"acknowledgement":" This work was supported by IST Austria institutional funds; NÖ Forschung und Bildung \r\nn[f+b] (C13-002) to SH; a program grant from the Human Frontiers Science Program (RGP0053/2014) to SH; the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement No 618444 to SH, and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 725780 LinPro)to SH.\r\n","publication_status":"published","status":"public","file_date_updated":"2020-07-14T12:45:45Z","ddc":["570"],"month":"04","day":"01","citation":{"apa":"Amberg, N., Laukoter, S., & Hippenmeyer, S. (2019). Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry. Wiley. https://doi.org/10.1111/jnc.14601","ieee":"N. Amberg, S. Laukoter, and S. Hippenmeyer, “Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex,” Journal of Neurochemistry, vol. 149, no. 1. Wiley, pp. 12–26, 2019.","short":"N. Amberg, S. Laukoter, S. Hippenmeyer, Journal of Neurochemistry 149 (2019) 12–26.","ama":"Amberg N, Laukoter S, Hippenmeyer S. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry. 2019;149(1):12-26. doi:10.1111/jnc.14601","ista":"Amberg N, Laukoter S, Hippenmeyer S. 2019. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry. 149(1), 12–26.","chicago":"Amberg, Nicole, Susanne Laukoter, and Simon Hippenmeyer. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” Journal of Neurochemistry. Wiley, 2019. https://doi.org/10.1111/jnc.14601.","mla":"Amberg, Nicole, et al. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” Journal of Neurochemistry, vol. 149, no. 1, Wiley, 2019, pp. 12–26, doi:10.1111/jnc.14601."},"oa_version":"Published Version","file":[{"file_name":"2019_Wiley_Amberg.pdf","file_size":889709,"relation":"main_file","creator":"kschuh","access_level":"open_access","checksum":"db027721a95d36f5de36aadcd0bdf7e6","content_type":"application/pdf","date_updated":"2020-07-14T12:45:45Z","file_id":"7239","date_created":"2020-01-07T13:35:52Z"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"article_processing_charge":"Yes (via OA deal)","volume":149,"has_accepted_license":"1"},{"oa":1,"year":"2019","publication":"Stochastic Processes and their Applications","date_updated":"2023-08-24T14:20:49Z","page":"995-1012","article_type":"original","department":[{"_id":"JaMa"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"arxiv":["1611.04177"],"isi":["000458945300012"]},"date_published":"2019-03-01T00:00:00Z","date_created":"2018-12-11T11:45:42Z","scopus_import":"1","publisher":"Elsevier","main_file_link":[{"url":"https://arxiv.org/abs/1611.04177","open_access":"1"}],"intvolume":" 129","isi":1,"type":"journal_article","quality_controlled":"1","language":[{"iso":"eng"}],"title":"A Feynman–Kac formula for stochastic Dirichlet problems","author":[{"first_name":"Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","last_name":"Gerencser","full_name":"Gerencser, Mate"},{"first_name":"István","last_name":"Gyöngy","full_name":"Gyöngy, István"}],"_id":"301","abstract":[{"text":"A representation formula for solutions of stochastic partial differential equations with Dirichlet boundary conditions is proved. The scope of our setting is wide enough to cover the general situation when the backward characteristics that appear in the usual formulation are not even defined in the Itô sense.","lang":"eng"}],"issue":"3","doi":"10.1016/j.spa.2018.04.003","publication_status":"published","status":"public","citation":{"ieee":"M. Gerencser and I. Gyöngy, “A Feynman–Kac formula for stochastic Dirichlet problems,” Stochastic Processes and their Applications, vol. 129, no. 3. Elsevier, pp. 995–1012, 2019.","apa":"Gerencser, M., & Gyöngy, I. (2019). A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2018.04.003","short":"M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012.","ista":"Gerencser M, Gyöngy I. 2019. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 129(3), 995–1012.","ama":"Gerencser M, Gyöngy I. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 2019;129(3):995-1012. doi:10.1016/j.spa.2018.04.003","chicago":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” Stochastic Processes and Their Applications. Elsevier, 2019. https://doi.org/10.1016/j.spa.2018.04.003.","mla":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” Stochastic Processes and Their Applications, vol. 129, no. 3, Elsevier, 2019, pp. 995–1012, doi:10.1016/j.spa.2018.04.003."},"day":"01","month":"03","oa_version":"Preprint","arxiv":1,"volume":129,"article_processing_charge":"No"},{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publist_id":"7546","department":[{"_id":"JaMa"}],"scopus_import":"1","date_created":"2018-12-11T11:45:48Z","date_published":"2019-04-01T00:00:00Z","external_id":{"isi":["000463613800001"]},"intvolume":" 173","publisher":"Springer","type":"journal_article","language":[{"iso":"eng"}],"quality_controlled":"1","isi":1,"oa":1,"year":"2019","date_updated":"2023-08-24T14:38:32Z","publication":"Probability Theory and Related Fields","article_type":"original","page":"697–758","month":"04","file_date_updated":"2020-07-14T12:46:03Z","ddc":["510"],"day":"01","citation":{"chicago":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” Probability Theory and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0841-1.","mla":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” Probability Theory and Related Fields, vol. 173, no. 3–4, Springer, 2019, pp. 697–758, doi:10.1007/s00440-018-0841-1.","apa":"Gerencser, M., & Hairer, M. (2019). Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-018-0841-1","ieee":"M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” Probability Theory and Related Fields, vol. 173, no. 3–4. Springer, pp. 697–758, 2019.","ama":"Gerencser M, Hairer M. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 2019;173(3-4):697–758. doi:10.1007/s00440-018-0841-1","short":"M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758.","ista":"Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 173(3–4), 697–758."},"oa_version":"Published Version","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file":[{"access_level":"open_access","checksum":"288d16ef7291242f485a9660979486e3","content_type":"application/pdf","date_updated":"2020-07-14T12:46:03Z","file_name":"2018_ProbTheory_Gerencser.pdf","relation":"main_file","creator":"dernst","file_size":893182,"file_id":"5722","date_created":"2018-12-17T16:25:24Z"}],"article_processing_charge":"Yes (via OA deal)","volume":173,"has_accepted_license":"1","_id":"319","author":[{"full_name":"Gerencser, Mate","last_name":"Gerencser","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate"},{"full_name":"Hairer, Martin","last_name":"Hairer","first_name":"Martin"}],"title":"Singular SPDEs in domains with boundaries","doi":"10.1007/s00440-018-0841-1","issue":"3-4","abstract":[{"text":"We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition.","lang":"eng"}],"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"publication_identifier":{"issn":["01788051"],"eissn":["14322064"]},"status":"public","acknowledgement":"MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n","publication_status":"published"},{"year":"2019","keyword":["Algebra and Number Theory"],"oa":1,"article_type":"original","article_number":"9","publication":"Research in Number Theory","date_updated":"2023-09-05T15:39:31Z","external_id":{"arxiv":["1807.08986"]},"date_published":"2019-01-02T00:00:00Z","scopus_import":"1","date_created":"2022-03-18T12:09:48Z","department":[{"_id":"TiBr"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","language":[{"iso":"eng"}],"type":"journal_article","quality_controlled":"1","intvolume":" 5","main_file_link":[{"url":"https://arxiv.org/abs/1807.08986","open_access":"1"}],"publisher":"Springer Nature","abstract":[{"text":"In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows us to connect invariants of binary octics to Siegel modular forms of genus 3. We use this connection to show that certain modular functions, when restricted to the hyperelliptic locus, assume values whose denominators are products of powers of primes of bad reduction for the associated hyperelliptic curves. We illustrate our theorem with explicit computations. This work is motivated by the study of the values of these modular functions at CM points of the Siegel upper half-space, which, if their denominators are known, can be used to effectively compute models of (hyperelliptic, in our case) curves with CM.","lang":"eng"}],"doi":"10.1007/s40993-018-0146-6","author":[{"first_name":"Sorina","full_name":"Ionica, Sorina","last_name":"Ionica"},{"first_name":"Pınar","last_name":"Kılıçer","full_name":"Kılıçer, Pınar"},{"full_name":"Lauter, Kristin","last_name":"Lauter","first_name":"Kristin"},{"first_name":"Elisa","full_name":"Lorenzo García, Elisa","last_name":"Lorenzo García"},{"id":"be8d652e-a908-11ec-82a4-e2867729459c","first_name":"Maria-Adelina","full_name":"Manzateanu, Maria-Adelina","last_name":"Manzateanu"},{"first_name":"Maike","last_name":"Massierer","full_name":"Massierer, Maike"},{"first_name":"Christelle","full_name":"Vincent, Christelle","last_name":"Vincent"}],"title":"Modular invariants for genus 3 hyperelliptic curves","_id":"10874","acknowledgement":"The authors would like to thank the Lorentz Center in Leiden for hosting the Women in Numbers Europe 2 workshop and providing a productive and enjoyable environment for our initial work on this project. We are grateful to the organizers of WIN-E2, Irene Bouw, Rachel Newton and Ekin Ozman, for making this conference and this collaboration possible. We\r\nthank Irene Bouw and Christophe Ritzenhaler for helpful discussions. Ionica acknowledges support from the Thomas Jefferson Fund of the Embassy of France in the United States and the FACE Foundation. Most of Kılıçer’s work was carried out during her stay in Universiteit Leiden and Carl von Ossietzky Universität Oldenburg. Massierer was supported by the Australian Research Council (DP150101689). Vincent is supported by the National Science Foundation under Grant No. DMS-1802323 and by the Thomas Jefferson Fund of the Embassy of France in the United States and the FACE Foundation. ","publication_status":"published","status":"public","publication_identifier":{"issn":["2522-0160"],"eissn":["2363-9555"]},"oa_version":"Preprint","day":"02","citation":{"ista":"Ionica S, Kılıçer P, Lauter K, Lorenzo García E, Manzateanu M-A, Massierer M, Vincent C. 2019. Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. 5, 9.","ama":"Ionica S, Kılıçer P, Lauter K, et al. Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. 2019;5. doi:10.1007/s40993-018-0146-6","short":"S. Ionica, P. Kılıçer, K. Lauter, E. Lorenzo García, M.-A. Manzateanu, M. Massierer, C. Vincent, Research in Number Theory 5 (2019).","ieee":"S. Ionica et al., “Modular invariants for genus 3 hyperelliptic curves,” Research in Number Theory, vol. 5. Springer Nature, 2019.","apa":"Ionica, S., Kılıçer, P., Lauter, K., Lorenzo García, E., Manzateanu, M.-A., Massierer, M., & Vincent, C. (2019). Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. Springer Nature. https://doi.org/10.1007/s40993-018-0146-6","mla":"Ionica, Sorina, et al. “Modular Invariants for Genus 3 Hyperelliptic Curves.” Research in Number Theory, vol. 5, 9, Springer Nature, 2019, doi:10.1007/s40993-018-0146-6.","chicago":"Ionica, Sorina, Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Maria-Adelina Manzateanu, Maike Massierer, and Christelle Vincent. “Modular Invariants for Genus 3 Hyperelliptic Curves.” Research in Number Theory. Springer Nature, 2019. https://doi.org/10.1007/s40993-018-0146-6."},"month":"01","volume":5,"article_processing_charge":"No","arxiv":1},{"language":[{"iso":"eng"}],"quality_controlled":"1","type":"conference","publisher":"EasyChair","intvolume":" 61","date_published":"2019-05-25T00:00:00Z","date_created":"2022-03-18T12:29:23Z","scopus_import":"1","department":[{"_id":"ToHe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"1-13","publication":"ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems","date_updated":"2022-05-17T07:09:47Z","year":"2019","alternative_title":["EPiC Series in Computing"],"oa":1,"has_accepted_license":"1","volume":61,"article_processing_charge":"No","file":[{"file_size":346415,"creator":"dernst","relation":"main_file","file_name":"2019_EPiCs_Frehse.pdf","checksum":"4b92e333db7b4e2349501a804dfede69","content_type":"application/pdf","access_level":"open_access","date_updated":"2022-05-17T06:55:49Z","success":1,"date_created":"2022-05-17T06:55:49Z","file_id":"11391"}],"oa_version":"Published Version","conference":{"name":"ARCH: International Workshop on Applied Verification on Continuous and Hybrid Systems","location":"Montreal, Canada","start_date":"2019-04-15","end_date":"2019-04-15"},"citation":{"mla":"Frehse, Goran, et al. “ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics.” ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems, edited by Goran Frehse and Matthias Althoff, vol. 61, EasyChair, 2019, pp. 1–13, doi:10.29007/rjwn.","chicago":"Frehse, Goran, Alessandro Abate, Dieky Adzkiya, Anna Becchi, Lei Bu, Alessandro Cimatti, Mirco Giacobbe, et al. “ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics.” In ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems, edited by Goran Frehse and Matthias Althoff, 61:1–13. EasyChair, 2019. https://doi.org/10.29007/rjwn.","apa":"Frehse, G., Abate, A., Adzkiya, D., Becchi, A., Bu, L., Cimatti, A., … Zaffanella, E. (2019). ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics. In G. Frehse & M. Althoff (Eds.), ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems (Vol. 61, pp. 1–13). Montreal, Canada: EasyChair. https://doi.org/10.29007/rjwn","ieee":"G. Frehse et al., “ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics,” in ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems, Montreal, Canada, 2019, vol. 61, pp. 1–13.","ama":"Frehse G, Abate A, Adzkiya D, et al. ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics. In: Frehse G, Althoff M, eds. ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems. Vol 61. EasyChair; 2019:1-13. doi:10.29007/rjwn","short":"G. Frehse, A. Abate, D. Adzkiya, A. Becchi, L. Bu, A. Cimatti, M. Giacobbe, A. Griggio, S. Mover, M.S. Mufid, I. Riouak, S. Tonetta, E. Zaffanella, in:, G. Frehse, M. Althoff (Eds.), ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems, EasyChair, 2019, pp. 1–13.","ista":"Frehse G, Abate A, Adzkiya D, Becchi A, Bu L, Cimatti A, Giacobbe M, Griggio A, Mover S, Mufid MS, Riouak I, Tonetta S, Zaffanella E. 2019. ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics. ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems. ARCH: International Workshop on Applied Verification on Continuous and Hybrid Systems, EPiC Series in Computing, vol. 61, 1–13."},"day":"25","month":"05","file_date_updated":"2022-05-17T06:55:49Z","ddc":["000"],"publication_status":"published","acknowledgement":"The authors gratefully acknowledge \fnancial support by the European Commission project\r\nUnCoVerCPS under grant number 643921. Lei Bu is supported by the National Natural Science\r\nFoundation of China (No.61572249).","status":"public","publication_identifier":{"issn":["2398-7340"]},"abstract":[{"text":"This report presents the results of a friendly competition for formal verification of continuous and hybrid systems with piecewise constant dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2019. In this third edition, six tools have been applied to solve five different benchmark problems in the category for piecewise constant dynamics: BACH, Lyse, Hy- COMP, PHAVer/SX, PHAVerLite, and VeriSiMPL. Compared to last year, a new tool has participated (HyCOMP) and PHAVerLite has replaced PHAVer-lite. The result is a snap- shot of the current landscape of tools and the types of benchmarks they are particularly suited for. Due to the diversity of problems, we are not ranking tools, yet the presented results probably provide the most complete assessment of tools for the safety verification of continuous and hybrid systems with piecewise constant dynamics up to this date.","lang":"eng"}],"doi":"10.29007/rjwn","title":"ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics","author":[{"first_name":"Goran","full_name":"Frehse, Goran","last_name":"Frehse"},{"last_name":"Abate","full_name":"Abate, Alessandro","first_name":"Alessandro"},{"last_name":"Adzkiya","full_name":"Adzkiya, Dieky","first_name":"Dieky"},{"full_name":"Becchi, Anna","last_name":"Becchi","first_name":"Anna"},{"full_name":"Bu, Lei","last_name":"Bu","first_name":"Lei"},{"first_name":"Alessandro","last_name":"Cimatti","full_name":"Cimatti, Alessandro"},{"first_name":"Mirco","id":"3444EA5E-F248-11E8-B48F-1D18A9856A87","last_name":"Giacobbe","full_name":"Giacobbe, Mirco","orcid":"0000-0001-8180-0904"},{"last_name":"Griggio","full_name":"Griggio, Alberto","first_name":"Alberto"},{"full_name":"Mover, Sergio","last_name":"Mover","first_name":"Sergio"},{"first_name":"Muhammad Syifa'ul","full_name":"Mufid, Muhammad Syifa'ul","last_name":"Mufid"},{"first_name":"Idriss","last_name":"Riouak","full_name":"Riouak, Idriss"},{"full_name":"Tonetta, Stefano","last_name":"Tonetta","first_name":"Stefano"},{"first_name":"Enea","last_name":"Zaffanella","full_name":"Zaffanella, Enea"}],"editor":[{"first_name":"Goran","full_name":"Frehse, Goran","last_name":"Frehse"},{"first_name":"Matthias","full_name":"Althoff, Matthias","last_name":"Althoff"}],"_id":"10877"},{"publisher":"American Institute of Mathematical Sciences","main_file_link":[{"url":"https://arxiv.org/abs/1708.04156","open_access":"1"}],"intvolume":" 39","quality_controlled":"1","type":"journal_article","language":[{"iso":"eng"}],"isi":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","department":[{"_id":"JaMa"}],"date_created":"2022-03-18T12:33:34Z","scopus_import":"1","date_published":"2019-06-01T00:00:00Z","external_id":{"isi":["000459954800003"],"arxiv":["1708.04156"]},"date_updated":"2023-09-08T11:34:45Z","publication":"Discrete and Continuous Dynamical Systems","page":"3037-3067","article_type":"original","oa":1,"keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics","Analysis"],"year":"2019","arxiv":1,"volume":39,"article_processing_charge":"No","month":"06","citation":{"ieee":"F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous coefficients for neurons with spatial interaction,” Discrete and Continuous Dynamical Systems, vol. 39, no. 6. American Institute of Mathematical Sciences, pp. 3037–3067, 2019.","apa":"Flandoli, F., Priola, E., & Zanco, G. A. (2019). A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences. https://doi.org/10.3934/dcds.2019126","ista":"Flandoli F, Priola E, Zanco GA. 2019. A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. 39(6), 3037–3067.","ama":"Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. 2019;39(6):3037-3067. doi:10.3934/dcds.2019126","short":"F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067.","mla":"Flandoli, Franco, et al. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” Discrete and Continuous Dynamical Systems, vol. 39, no. 6, American Institute of Mathematical Sciences, 2019, pp. 3037–67, doi:10.3934/dcds.2019126.","chicago":"Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences, 2019. https://doi.org/10.3934/dcds.2019126."},"day":"01","oa_version":"Preprint","project":[{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"publication_identifier":{"issn":["1553-5231"]},"acknowledgement":"The second author has been partially supported by INdAM through the GNAMPA Research\r\nProject (2017) “Sistemi stocastici singolari: buona posizione e problemi di controllo”. The third\r\nauthor was partly funded by the Austrian Science Fund (FWF) project F 65.","publication_status":"published","status":"public","_id":"10878","title":"A mean-field model with discontinuous coefficients for neurons with spatial interaction","author":[{"full_name":"Flandoli, Franco","last_name":"Flandoli","first_name":"Franco"},{"last_name":"Priola","full_name":"Priola, Enrico","first_name":"Enrico"},{"full_name":"Zanco, Giovanni A","last_name":"Zanco","id":"47491882-F248-11E8-B48F-1D18A9856A87","first_name":"Giovanni A"}],"doi":"10.3934/dcds.2019126","abstract":[{"text":"Starting from a microscopic model for a system of neurons evolving in time which individually follow a stochastic integrate-and-fire type model, we study a mean-field limit of the system. Our model is described by a system of SDEs with discontinuous coefficients for the action potential of each neuron and takes into account the (random) spatial configuration of neurons allowing the interaction to depend on it. In the limit as the number of particles tends to infinity, we obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only with respect to one variable and discontinuous coefficients. We also study strong well-posedness of the system of SDEs and prove the existence and uniqueness of a weak measure-valued solution to the PDE, obtained as the limit of the laws of the empirical measures for the system of particles.","lang":"eng"}],"issue":"6"},{"isi":1,"quality_controlled":"1","type":"journal_article","language":[{"iso":"eng"}],"intvolume":" 9","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1701.02956"}],"publisher":"European Mathematical Society Publishing House","date_published":"2019-03-01T00:00:00Z","external_id":{"arxiv":["1701.02956"],"isi":["000484709400006"]},"scopus_import":"1","date_created":"2022-03-18T12:36:42Z","department":[{"_id":"LaEr"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_type":"original","page":"921-965","publication":"Journal of Spectral Theory","date_updated":"2023-09-08T11:35:31Z","year":"2019","keyword":["Random Schrödinger operators","spectral shift function","Anderson orthogonality"],"oa":1,"article_processing_charge":"No","volume":9,"arxiv":1,"oa_version":"Preprint","day":"01","citation":{"apa":"Dietlein, A. M., Gebert, M., & Müller, P. (2019). Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. European Mathematical Society Publishing House. https://doi.org/10.4171/jst/267","ieee":"A. M. Dietlein, M. Gebert, and P. Müller, “Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function,” Journal of Spectral Theory, vol. 9, no. 3. European Mathematical Society Publishing House, pp. 921–965, 2019.","ista":"Dietlein AM, Gebert M, Müller P. 2019. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. 9(3), 921–965.","ama":"Dietlein AM, Gebert M, Müller P. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. 2019;9(3):921-965. doi:10.4171/jst/267","short":"A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965.","mla":"Dietlein, Adrian M., et al. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” Journal of Spectral Theory, vol. 9, no. 3, European Mathematical Society Publishing House, 2019, pp. 921–65, doi:10.4171/jst/267.","chicago":"Dietlein, Adrian M, Martin Gebert, and Peter Müller. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” Journal of Spectral Theory. European Mathematical Society Publishing House, 2019. https://doi.org/10.4171/jst/267."},"month":"03","publication_status":"published","status":"public","acknowledgement":"M.G. was supported by the DFG under grant GE 2871/1-1.","publication_identifier":{"issn":["1664-039X"]},"issue":"3","abstract":[{"text":"We study effects of a bounded and compactly supported perturbation on multidimensional continuum random Schrödinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schrödinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015), 560–565]. The spectral shift function plays an important role in our analysis of Anderson orthogonality. We identify it with the index of the corresponding pair of spectral projections and explore the consequences thereof. All our results rely on the main technical estimate of this paper which guarantees separate exponential decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b. Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication operator corresponding to the indicator function of a unit cube centred about a∈Rd, and f is in a suitable class of functions of bounded variation with distributional derivative supported in the region of complete localisation for H.","lang":"eng"}],"doi":"10.4171/jst/267","author":[{"id":"317CB464-F248-11E8-B48F-1D18A9856A87","first_name":"Adrian M","full_name":"Dietlein, Adrian M","last_name":"Dietlein"},{"first_name":"Martin","last_name":"Gebert","full_name":"Gebert, Martin"},{"first_name":"Peter","last_name":"Müller","full_name":"Müller, Peter"}],"title":"Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function","_id":"10879"},{"publication_status":"published","acknowledgement":"This work was supported by the ERC and EU Horizon 2020 (ERC 692692; MSC-IF 708497) and FWF Z 312-B27 Wittgenstein award; W 1205-B09).","status":"public","ec_funded":1,"publication_identifier":{"issn":["2309-8503"]},"project":[{"_id":"25B7EB9E-B435-11E9-9278-68D0E5697425","grant_number":"692692","name":"Biophysics and circuit function of a giant cortical glumatergic synapse","call_identifier":"H2020"},{"call_identifier":"H2020","name":"Presynaptic calcium channels distribution and impact on coupling at the hippocampal mossy fiber synapse","grant_number":"708497","_id":"25BAF7B2-B435-11E9-9278-68D0E5697425"},{"_id":"25C3DBB6-B435-11E9-9278-68D0E5697425","grant_number":"W01205","call_identifier":"FWF","name":"Zellkommunikation in Gesundheit und Krankheit"},{"name":"The Wittgenstein Prize","call_identifier":"FWF","grant_number":"Z00312","_id":"25C5A090-B435-11E9-9278-68D0E5697425"}],"issue":"Suppl. 1","doi":"10.25006/ia.7.s1-a3.27","author":[{"last_name":"Kim","full_name":"Kim, Olena","first_name":"Olena","id":"3F8ABDDA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0003-0005-401X","id":"4305C450-F248-11E8-B48F-1D18A9856A87","first_name":"Carolina","full_name":"Borges Merjane, Carolina","last_name":"Borges Merjane"},{"orcid":"0000-0001-5001-4804","full_name":"Jonas, Peter M","last_name":"Jonas","id":"353C1B58-F248-11E8-B48F-1D18A9856A87","first_name":"Peter M"}],"title":"Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy","_id":"11222","volume":7,"article_processing_charge":"No","conference":{"end_date":"2019-09-27","start_date":"2019-09-25","location":"Innsbruck, Austria","name":"ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological Society"},"oa_version":"Published Version","day":"11","citation":{"chicago":"Kim, Olena, Carolina Borges Merjane, and Peter M Jonas. “Functional Analysis of the Docked Vesicle Pool in Hippocampal Mossy Fiber Terminals by Electron Microscopy.” In Intrinsic Activity, Vol. 7. Austrian Pharmacological Society, 2019. https://doi.org/10.25006/ia.7.s1-a3.27.","mla":"Kim, Olena, et al. “Functional Analysis of the Docked Vesicle Pool in Hippocampal Mossy Fiber Terminals by Electron Microscopy.” Intrinsic Activity, vol. 7, no. Suppl. 1, A3.27, Austrian Pharmacological Society, 2019, doi:10.25006/ia.7.s1-a3.27.","ieee":"O. Kim, C. Borges Merjane, and P. M. Jonas, “Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy,” in Intrinsic Activity, Innsbruck, Austria, 2019, vol. 7, no. Suppl. 1.","apa":"Kim, O., Borges Merjane, C., & Jonas, P. M. (2019). Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. In Intrinsic Activity (Vol. 7). Innsbruck, Austria: Austrian Pharmacological Society. https://doi.org/10.25006/ia.7.s1-a3.27","ama":"Kim O, Borges Merjane C, Jonas PM. Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. In: Intrinsic Activity. Vol 7. Austrian Pharmacological Society; 2019. doi:10.25006/ia.7.s1-a3.27","ista":"Kim O, Borges Merjane C, Jonas PM. 2019. Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. Intrinsic Activity. ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological Society vol. 7, A3.27.","short":"O. Kim, C. Borges Merjane, P.M. Jonas, in:, Intrinsic Activity, Austrian Pharmacological Society, 2019."},"month":"09","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"11196"}]},"article_number":"A3.27","publication":"Intrinsic Activity","date_updated":"2024-03-25T23:30:04Z","year":"2019","keyword":["hippocampus","mossy fibers","readily releasable pool","electron microscopy"],"oa":1,"language":[{"iso":"eng"}],"type":"conference_abstract","quality_controlled":"1","intvolume":" 7","main_file_link":[{"open_access":"1","url":"https://www.intrinsicactivity.org/2019/7/S1/A3.27/"}],"publisher":"Austrian Pharmacological Society","date_published":"2019-09-11T00:00:00Z","date_created":"2022-04-20T15:06:05Z","department":[{"_id":"PeJo"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9"},{"related_material":{"record":[{"id":"7944","status":"public","relation":"dissertation_contains"},{"id":"12833","status":"public","relation":"later_version"}]},"status":"public","publication_status":"submitted","article_number":"1903.06981","publication":"arXiv","date_updated":"2024-01-04T12:42:08Z","abstract":[{"lang":"eng","text":"The input to the token swapping problem is a graph with vertices v1, v2, . . . , vn, and n tokens with labels 1,2, . . . , n, one on each vertex. The goal is to get token i to vertex vi for all i= 1, . . . , n using a minimum number of swaps, where a swap exchanges the tokens on the endpoints of an edge.Token swapping on a tree, also known as “sorting with a transposition tree,” is not known to be in P nor NP-complete. We present some partial results:\r\n1. An optimum swap sequence may need to perform a swap on a leaf vertex that has the correct token (a “happy leaf”), disproving a conjecture of Vaughan.\r\n2. Any algorithm that fixes happy leaves—as all known approximation algorithms for the problem do—has approximation factor at least 4/3. Furthermore, the two best-known 2-approximation algorithms have approximation factor exactly 2.\r\n3. A generalized problem—weighted coloured token swapping—is NP-complete on trees, but solvable in polynomial time on paths and stars. In this version, tokens and vertices have colours, and colours have weights. The goal is to get every token to a vertex of the same colour, and the cost of a swap is the sum of the weights of the two tokens involved."}],"year":"2019","title":"Token swapping on trees","oa":1,"author":[{"first_name":"Ahmad","full_name":"Biniaz, Ahmad","last_name":"Biniaz"},{"first_name":"Kshitij","last_name":"Jain","full_name":"Jain, Kshitij"},{"first_name":"Anna","last_name":"Lubiw","full_name":"Lubiw, Anna"},{"id":"45CFE238-F248-11E8-B48F-1D18A9856A87","first_name":"Zuzana","full_name":"Masárová, Zuzana","last_name":"Masárová","orcid":"0000-0002-6660-1322"},{"full_name":"Miltzow, Tillmann","last_name":"Miltzow","first_name":"Tillmann"},{"last_name":"Mondal","full_name":"Mondal, Debajyoti","first_name":"Debajyoti"},{"first_name":"Anurag Murty","full_name":"Naredla, Anurag Murty","last_name":"Naredla"},{"full_name":"Tkadlec, Josef","last_name":"Tkadlec","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","first_name":"Josef","orcid":"0000-0002-1097-9684"},{"first_name":"Alexi","full_name":"Turcotte, Alexi","last_name":"Turcotte"}],"_id":"7950","article_processing_charge":"No","language":[{"iso":"eng"}],"type":"preprint","arxiv":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1903.06981"}],"date_published":"2019-03-16T00:00:00Z","external_id":{"arxiv":["1903.06981"]},"date_created":"2020-06-08T12:25:25Z","oa_version":"Preprint","citation":{"ieee":"A. Biniaz et al., “Token swapping on trees,” arXiv. .","apa":"Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte, A. (n.d.). Token swapping on trees. arXiv.","ista":"Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec J, Turcotte A. Token swapping on trees. arXiv, 1903.06981.","short":"A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, ArXiv (n.d.).","ama":"Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. arXiv.","chicago":"Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow, Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token Swapping on Trees.” ArXiv, n.d.","mla":"Biniaz, Ahmad, et al. “Token Swapping on Trees.” ArXiv, 1903.06981."},"day":"16","department":[{"_id":"HeEd"},{"_id":"UlWa"},{"_id":"KrCh"}],"month":"03","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"date_published":"2019-01-09T00:00:00Z","external_id":{"pmid":["30504274"],"isi":["000455189900006"]},"scopus_import":"1","date_created":"2018-12-11T11:44:07Z","department":[{"_id":"DaSi"}],"publist_id":"8048","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","isi":1,"language":[{"iso":"eng"}],"quality_controlled":"1","type":"journal_article","intvolume":" 39","publisher":"Society for Neuroscience","year":"2019","oa":1,"article_type":"original","page":"238-255","publication":"Journal of Neuroscience","date_updated":"2023-09-19T10:10:55Z","oa_version":"Published Version","day":"09","citation":{"mla":"Trébuchet, Guillaume, et al. “The Repo Homeodomain Transcription Factor Suppresses Hematopoiesis in Drosophila and Preserves the Glial Fate.” Journal of Neuroscience, vol. 39, no. 2, Society for Neuroscience, 2019, pp. 238–55, doi:10.1523/JNEUROSCI.1059-18.2018.","chicago":"Trébuchet, Guillaume, Pierre B Cattenoz, János Zsámboki, David Mazaud, Daria E Siekhaus, Manolis Fanto, and Angela Giangrande. “The Repo Homeodomain Transcription Factor Suppresses Hematopoiesis in Drosophila and Preserves the Glial Fate.” Journal of Neuroscience. Society for Neuroscience, 2019. https://doi.org/10.1523/JNEUROSCI.1059-18.2018.","ama":"Trébuchet G, Cattenoz PB, Zsámboki J, et al. The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate. Journal of Neuroscience. 2019;39(2):238-255. doi:10.1523/JNEUROSCI.1059-18.2018","short":"G. Trébuchet, P.B. Cattenoz, J. Zsámboki, D. Mazaud, D.E. Siekhaus, M. Fanto, A. Giangrande, Journal of Neuroscience 39 (2019) 238–255.","ista":"Trébuchet G, Cattenoz PB, Zsámboki J, Mazaud D, Siekhaus DE, Fanto M, Giangrande A. 2019. The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate. Journal of Neuroscience. 39(2), 238–255.","ieee":"G. Trébuchet et al., “The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate,” Journal of Neuroscience, vol. 39, no. 2. Society for Neuroscience, pp. 238–255, 2019.","apa":"Trébuchet, G., Cattenoz, P. B., Zsámboki, J., Mazaud, D., Siekhaus, D. E., Fanto, M., & Giangrande, A. (2019). The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate. Journal of Neuroscience. Society for Neuroscience. https://doi.org/10.1523/JNEUROSCI.1059-18.2018"},"ddc":["570"],"file_date_updated":"2020-10-02T09:33:28Z","pmid":1,"month":"01","has_accepted_license":"1","article_processing_charge":"No","volume":39,"file":[{"file_id":"8596","date_created":"2020-10-02T09:33:28Z","file_name":"2019_JournNeuroscience_Trebuchet.pdf","file_size":9455414,"relation":"main_file","creator":"dernst","success":1,"date_updated":"2020-10-02T09:33:28Z","access_level":"open_access","content_type":"application/pdf","checksum":"8f6925eb4cd1e8747d8ea25929c68de6"}],"issue":"2","abstract":[{"lang":"eng","text":"Despite their different origins, Drosophila glia and hemocytes are related cell populations that provide an immune function. Drosophila hemocytes patrol the body cavity and act as macrophages outside the nervous system whereas glia originate from the neuroepithelium and provide the scavenger population of the nervous system. Drosophila glia are hence the functional orthologs of vertebrate microglia, even though the latter are cells of immune origin that subsequently move into the brain during development. Interestingly, the Drosophila immune cells within (glia) and outside the nervous system (hemocytes) require the same transcription factor Glide/Gcm for their development. This raises the issue of how do glia specifically differentiate in the nervous system and hemocytes in the procephalic mesoderm. The Repo homeodomain transcription factor and pan-glial direct target of Glide/Gcm is known to ensure glial terminal differentiation. Here we show that Repo also takes center stage in the process that discriminates between glia and hemocytes. First, Repo expression is repressed in the hemocyte anlagen by mesoderm-specific factors. Second, Repo ectopic activation in the procephalic mesoderm is sufficient to repress the expression of hemocyte-specific genes. Third, the lack of Repo triggers the expression of hemocyte markers in glia. Thus, a complex network of tissue-specific cues biases the potential of Glide/Gcm. These data allow us to revise the concept of fate determinants and help us understand the bases of cell specification. Both sexes were analyzed.SIGNIFICANCE STATEMENTDistinct cell types often require the same pioneer transcription factor, raising the issue of how does one factor trigger different fates. In Drosophila, glia and hemocytes provide a scavenger activity within and outside the nervous system, respectively. While they both require the Glide/Gcm transcription factor, glia originate from the ectoderm, hemocytes from the mesoderm. Here we show that tissue-specific factors inhibit the gliogenic potential of Glide/Gcm in the mesoderm by repressing the expression of the homeodomain protein Repo, a major glial-specific target of Glide/Gcm. Repo expression in turn inhibits the expression of hemocyte-specific genes in the nervous system. These cell-specific networks secure the establishment of the glial fate only in the nervous system and allow cell diversification."}],"doi":"10.1523/JNEUROSCI.1059-18.2018","author":[{"first_name":"Guillaume","full_name":"Trébuchet, Guillaume","last_name":"Trébuchet"},{"last_name":"Cattenoz","full_name":"Cattenoz, Pierre B","first_name":"Pierre B"},{"last_name":"Zsámboki","full_name":"Zsámboki, János","first_name":"János"},{"first_name":"David","full_name":"Mazaud, David","last_name":"Mazaud"},{"first_name":"Daria E","id":"3D224B9E-F248-11E8-B48F-1D18A9856A87","last_name":"Siekhaus","full_name":"Siekhaus, Daria E","orcid":"0000-0001-8323-8353"},{"first_name":"Manolis","last_name":"Fanto","full_name":"Fanto, Manolis"},{"full_name":"Giangrande, Angela","last_name":"Giangrande","first_name":"Angela"}],"title":"The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate","_id":"8","acknowledgement":"This work was supported by INSERM, CNRS, UDS, Ligue Régionale contre le Cancer, Hôpital de Strasbourg, Association pour la Recherche sur le Cancer (ARC) and Agence Nationale de la Recherche (ANR) grants. P.B.C. was funded by the ANR and by the ARSEP (Fondation pour l'Aide à la Recherche sur la Sclérose en Plaques), and G.T. by governmental and ARC fellowships. This work was also supported by grants from the Ataxia UK (2491) and the NC3R (NC/L000199/1) awarded to M.F. The Institut de Génétique et de Biologie Moléculaire et Cellulaire was also supported by a French state fund through the ANR labex. D.E.S. was funded by Marie Curie Grant CIG 334077/IRTIM. We thank B. Altenhein, K. Brückner, M. Crozatier, L. Waltzer, M. Logan, E. Kurant, R. Reuter, E. Kurucz, J.L Dimarcq, J. Hoffmann, C. Goodman, the DHSB, and the BDSC for reagents and flies. We also thank all of the laboratory members for comments on the manuscript; C. Diebold, C. Delaporte, M. Pezze, the fly, and imaging and antibody facilities for technical assistance; and D. Dembele for help with statistics. In addition, we thank Alison Brewer for help with Luciferase assays.","publication_status":"published","status":"public","ec_funded":1,"project":[{"_id":"2536F660-B435-11E9-9278-68D0E5697425","grant_number":"334077","call_identifier":"FP7","name":"Investigating the role of transporters in invasive migration through junctions"}]},{"oa_version":"Published Version","citation":{"short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.","ista":"Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776.","ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 2019;368(2):723-776. doi:10.1007/s00220-018-3239-0","apa":"Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-018-3239-0","ieee":"A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” Communications in Mathematical Physics, vol. 368, no. 2. Springer, pp. 723–776, 2019.","chicago":"Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics. Springer, 2019. https://doi.org/10.1007/s00220-018-3239-0.","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0."},"day":"01","month":"06","file_date_updated":"2020-07-14T12:48:07Z","ddc":["530"],"has_accepted_license":"1","volume":368,"article_processing_charge":"Yes (via OA deal)","file":[{"file_id":"5688","date_created":"2018-12-17T10:34:06Z","access_level":"open_access","checksum":"c7e9880b43ac726712c1365e9f2f73a6","content_type":"application/pdf","date_updated":"2020-07-14T12:48:07Z","file_name":"2018_CommunMathPhys_Deuchert.pdf","creator":"dernst","file_size":893902,"relation":"main_file"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"abstract":[{"lang":"eng","text":"We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering length is so small that the interaction energy per particle around the center of the trap is of the same order of magnitude as the spectral gap in the trap. We prove that the difference between the canonical free energy of the interacting gas and the one of the noninteracting system can be obtained by minimizing the GP energy functional. We also prove Bose–Einstein condensation in the following sense: The one-particle density matrix of any approximate minimizer of the canonical free energy functional is to leading order given by that of the noninteracting gas but with the free condensate wavefunction replaced by the GP minimizer."}],"issue":"2","doi":"10.1007/s00220-018-3239-0","title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","author":[{"orcid":"0000-0003-3146-6746","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas","full_name":"Deuchert, Andreas","last_name":"Deuchert"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"_id":"80","status":"public","publication_status":"published","ec_funded":1,"project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"}],"external_id":{"isi":["000467796800007"]},"date_published":"2019-06-01T00:00:00Z","date_created":"2018-12-11T11:44:31Z","scopus_import":"1","department":[{"_id":"RoSe"}],"publist_id":"7974","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","isi":1,"language":[{"iso":"eng"}],"type":"journal_article","quality_controlled":"1","publisher":"Springer","intvolume":" 368","year":"2019","oa":1,"page":"723-776","article_type":"original","publication":"Communications in Mathematical Physics","date_updated":"2023-08-24T14:27:51Z"},{"department":[{"_id":"LaEr"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1902.08750"]},"date_published":"2019-07-01T00:00:00Z","date_created":"2020-07-26T22:01:04Z","scopus_import":"1","publisher":"Formal Power Series and Algebraic Combinatorics","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1902.08750"}],"language":[{"iso":"eng"}],"quality_controlled":"1","type":"conference","oa":1,"year":"2019","publication":"Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics","date_updated":"2021-01-12T08:17:18Z","article_number":"34","citation":{"chicago":"Betea, Dan, Jérémie Bouttier, Peter Nejjar, and Mirjana Vuletíc. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” In Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics. Formal Power Series and Algebraic Combinatorics, 2019.","mla":"Betea, Dan, et al. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, 34, Formal Power Series and Algebraic Combinatorics, 2019.","apa":"Betea, D., Bouttier, J., Nejjar, P., & Vuletíc, M. (2019). New edge asymptotics of skew Young diagrams via free boundaries. In Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics. Ljubljana, Slovenia: Formal Power Series and Algebraic Combinatorics.","ieee":"D. Betea, J. Bouttier, P. Nejjar, and M. Vuletíc, “New edge asymptotics of skew Young diagrams via free boundaries,” in Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Ljubljana, Slovenia, 2019.","ama":"Betea D, Bouttier J, Nejjar P, Vuletíc M. New edge asymptotics of skew Young diagrams via free boundaries. In: Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics. Formal Power Series and Algebraic Combinatorics; 2019.","ista":"Betea D, Bouttier J, Nejjar P, Vuletíc M. 2019. New edge asymptotics of skew Young diagrams via free boundaries. Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics. FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics, 34.","short":"D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Formal Power Series and Algebraic Combinatorics, 2019."},"day":"01","month":"07","oa_version":"Preprint","conference":{"name":"FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics","end_date":"2019-07-05","location":"Ljubljana, Slovenia","start_date":"2019-07-01"},"arxiv":1,"article_processing_charge":"No","title":"New edge asymptotics of skew Young diagrams via free boundaries","author":[{"first_name":"Dan","full_name":"Betea, Dan","last_name":"Betea"},{"first_name":"Jérémie","full_name":"Bouttier, Jérémie","last_name":"Bouttier"},{"first_name":"Peter","id":"4BF426E2-F248-11E8-B48F-1D18A9856A87","last_name":"Nejjar","full_name":"Nejjar, Peter"},{"full_name":"Vuletíc, Mirjana","last_name":"Vuletíc","first_name":"Mirjana"}],"_id":"8175","abstract":[{"lang":"eng","text":"We study edge asymptotics of poissonized Plancherel-type measures on skew Young diagrams (integer partitions). These measures can be seen as generalizations of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulam's problem on longest increasing subsequences of random permutations and the last passage percolation (corner growth) discrete versions thereof. Moreover they interpolate between said measures and the uniform measure on partitions. In the new KPZ-like 1/3 exponent edge scaling limit with logarithmic corrections, we find new probability distributions generalizing the classical Tracy--Widom GUE, GOE and GSE distributions from the theory of random matrices."}],"project":[{"_id":"258DCDE6-B435-11E9-9278-68D0E5697425","grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7"},{"call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117"}],"status":"public","publication_status":"published","acknowledgement":"D.B. is especially grateful to Patrik Ferrari for suggesting simplifications in Section 3 and\r\nto Alessandra Occelli for suggesting the name for the models of Section 2.\r\n","ec_funded":1},{"title":"Vanishing of all equivariant obstructions and the mapping degree","oa":1,"author":[{"id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","first_name":"Sergey","full_name":"Avvakumov, Sergey","last_name":"Avvakumov"},{"first_name":"Sergey","id":"ecf01965-d252-11ea-95a5-8ada5f6c6a67","last_name":"Kudrya","full_name":"Kudrya, Sergey"}],"_id":"8182","abstract":[{"text":"Suppose that $n\\neq p^k$ and $n\\neq 2p^k$ for all $k$ and all primes $p$. We prove that for any Hausdorff compactum $X$ with a free action of the symmetric group $\\mathfrak S_n$ there exists an $\\mathfrak S_n$-equivariant map $X \\to\r\n{\\mathbb R}^n$ whose image avoids the diagonal $\\{(x,x\\dots,x)\\in {\\mathbb R}^n|x\\in {\\mathbb R}\\}$.\r\n Previously, the special cases of this statement for certain $X$ were usually proved using the equivartiant obstruction theory. Such calculations are difficult and may become infeasible past the first (primary) obstruction. We\r\ntake a different approach which allows us to prove the vanishing of all obstructions simultaneously. The essential step in the proof is classifying the possible degrees of $\\mathfrak S_n$-equivariant maps from the boundary\r\n$\\partial\\Delta^{n-1}$ of $(n-1)$-simplex to itself. Existence of equivariant maps between spaces is important for many questions arising from discrete mathematics and geometry, such as Kneser's conjecture, the Square Peg conjecture, the Splitting Necklace problem, and the Topological Tverberg conjecture, etc. We demonstrate the utility of our result applying it to one such question, a specific instance of envy-free division problem.","lang":"eng"}],"year":"2019","publication":"arXiv","date_updated":"2023-09-07T13:12:17Z","project":[{"name":"Algorithms for Embeddings and Homotopy Theory","call_identifier":"FWF","grant_number":"P31312","_id":"26611F5C-B435-11E9-9278-68D0E5697425"}],"related_material":{"record":[{"id":"11446","status":"public","relation":"later_version"},{"id":"8156","status":"public","relation":"dissertation_contains"}]},"status":"public","publication_status":"submitted","article_number":"1910.12628","citation":{"mla":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” ArXiv, 1910.12628, arXiv.","chicago":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” ArXiv. arXiv, n.d.","ieee":"S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and the mapping degree,” arXiv. arXiv.","apa":"Avvakumov, S., & Kudrya, S. (n.d.). Vanishing of all equivariant obstructions and the mapping degree. arXiv. arXiv.","ama":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. arXiv.","ista":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. arXiv, 1910.12628.","short":"S. Avvakumov, S. Kudrya, ArXiv (n.d.)."},"department":[{"_id":"UlWa"}],"day":"28","month":"10","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2019-10-28T00:00:00Z","external_id":{"arxiv":["1910.12628"]},"oa_version":"Preprint","date_created":"2020-07-30T10:45:08Z","publisher":"arXiv","main_file_link":[{"url":"https://arxiv.org/abs/1910.12628","open_access":"1"}],"arxiv":1,"article_processing_charge":"No","language":[{"iso":"eng"}],"type":"preprint"},{"publisher":"arXiv","arxiv":1,"main_file_link":[{"url":"https://arxiv.org/abs/1908.08731","open_access":"1"}],"article_processing_charge":"No","language":[{"iso":"eng"}],"type":"preprint","isi":1,"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","month":"08","citation":{"mla":"Avvakumov, Sergey, et al. “Stronger Counterexamples to the Topological Tverberg Conjecture.” ArXiv, 1908.08731, arXiv.","chicago":"Avvakumov, Sergey, R. Karasev, and A. Skopenkov. “Stronger Counterexamples to the Topological Tverberg Conjecture.” ArXiv. arXiv, n.d.","short":"S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).","ista":"Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv, 1908.08731.","ama":"Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv.","ieee":"S. Avvakumov, R. Karasev, and A. Skopenkov, “Stronger counterexamples to the topological Tverberg conjecture,” arXiv. arXiv.","apa":"Avvakumov, S., Karasev, R., & Skopenkov, A. (n.d.). Stronger counterexamples to the topological Tverberg conjecture. arXiv. arXiv."},"department":[{"_id":"UlWa"}],"day":"23","oa_version":"Preprint","date_created":"2020-07-30T10:45:34Z","external_id":{"arxiv":["1908.08731"],"isi":["000986519600004"]},"date_published":"2019-08-23T00:00:00Z","date_updated":"2023-09-08T11:20:02Z","project":[{"grant_number":"P31312","_id":"26611F5C-B435-11E9-9278-68D0E5697425","name":"Algorithms for Embeddings and Homotopy Theory","call_identifier":"FWF"}],"publication":"arXiv","article_number":"1908.08731","related_material":{"record":[{"id":"8156","relation":"dissertation_contains","status":"public"}]},"status":"public","publication_status":"submitted","acknowledgement":"We would like to thank F. Frick for helpful discussions","_id":"8184","oa":1,"title":"Stronger counterexamples to the topological Tverberg conjecture","author":[{"first_name":"Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","last_name":"Avvakumov","full_name":"Avvakumov, Sergey"},{"last_name":"Karasev","full_name":"Karasev, R.","first_name":"R."},{"last_name":"Skopenkov","full_name":"Skopenkov, A.","first_name":"A."}],"abstract":[{"lang":"eng","text":"Denote by ∆N the N-dimensional simplex. A map f : ∆N → Rd is an almost r-embedding if fσ1∩. . .∩fσr = ∅ whenever σ1, . . . , σr are pairwise disjoint faces. A counterexample to the topological Tverberg conjecture asserts that if r is not a prime power and d ≥ 2r + 1, then there is an almost r-embedding ∆(d+1)(r−1) → Rd. This was improved by Blagojevi´c–Frick–Ziegler using a simple construction of higher-dimensional counterexamples by taking k-fold join power of lower-dimensional ones. We improve this further (for d large compared to r): If r is not a prime power and N := (d+ 1)r−r l\r\nd + 2 r + 1 m−2, then there is an almost r-embedding ∆N → Rd. For the r-fold van Kampen–Flores conjecture we also produce counterexamples which are stronger than previously known. Our proof is based on generalizations of the Mabillard–Wagner theorem on construction of almost r-embeddings from equivariant maps, and of the Ozaydin theorem on existence of equivariant maps. "}],"year":"2019"}]