[{"publisher":"Royal Society of London","quality_controlled":"1","oa":1,"day":"01","publication":"Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences","year":"2017","date_published":"2017-11-01T00:00:00Z","doi":"10.1098/rspa.2017.0104","date_created":"2018-12-11T11:47:11Z","article_number":"0104","project":[{"grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ama":"Gerencser M, Jentzen A, Salimova D. On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2017;473(2207). doi:10.1098/rspa.2017.0104","apa":"Gerencser, M., Jentzen, A., & Salimova, D. (2017). On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Royal Society of London. https://doi.org/10.1098/rspa.2017.0104","ieee":"M. Gerencser, A. Jentzen, and D. Salimova, “On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 473, no. 2207. Royal Society of London, 2017.","short":"M. Gerencser, A. Jentzen, D. Salimova, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 (2017).","mla":"Gerencser, Mate, et al. “On Stochastic Differential Equations with Arbitrarily Slow Convergence Rates for Strong Approximation in Two Space Dimensions.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 473, no. 2207, 0104, Royal Society of London, 2017, doi:10.1098/rspa.2017.0104.","ista":"Gerencser M, Jentzen A, Salimova D. 2017. On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 473(2207), 0104.","chicago":"Gerencser, Mate, Arnulf Jentzen, and Diyora Salimova. “On Stochastic Differential Equations with Arbitrarily Slow Convergence Rates for Strong Approximation in Two Space Dimensions.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Royal Society of London, 2017. https://doi.org/10.1098/rspa.2017.0104."},"title":"On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions","author":[{"last_name":"Gerencser","full_name":"Gerencser, Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate"},{"full_name":"Jentzen, Arnulf","last_name":"Jentzen","first_name":"Arnulf"},{"first_name":"Diyora","full_name":"Salimova, Diyora","last_name":"Salimova"}],"publist_id":"7256","oa_version":"Submitted Version","abstract":[{"lang":"eng","text":"In a recent article (Jentzen et al. 2016 Commun. Math. Sci. 14, 1477–1500 (doi:10.4310/CMS.2016.v14. n6.a1)), it has been established that, for every arbitrarily slow convergence speed and every natural number d ? {4, 5, . . .}, there exist d-dimensional stochastic differential equations with infinitely often differentiable and globally bounded coefficients such that no approximation method based on finitely many observations of the driving Brownian motion can converge in absolute mean to the solution faster than the given speed of convergence. In this paper, we strengthen the above result by proving that this slow convergence phenomenon also arises in two (d = 2) and three (d = 3) space dimensions."}],"month":"11","intvolume":" 473","scopus_import":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1702.03229"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["13645021"]},"publication_status":"published","volume":473,"issue":"2207","ec_funded":1,"_id":"560","status":"public","type":"journal_article","date_updated":"2021-01-12T08:03:04Z","department":[{"_id":"JaMa"}]},{"language":[{"iso":"eng"}],"publication_identifier":{"eisbn":["978-1-4704-4194-4"],"isbn":["9-781-4704-3648-3"]},"publication_status":"published","volume":28,"ec_funded":1,"oa_version":"None","abstract":[{"text":"This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past few years. Many other interesting topics are not included, and neither are several new developments within the framework of these methods. The authors have chosen instead to present key concepts that they believe are the core of these methods and should be relevant for future applications. They keep technicalities to a minimum to make the book accessible to graduate students. With this in mind, they include in this book the basic notions and tools for high-dimensional analysis, such as large deviation, entropy, Dirichlet form, and the logarithmic Sobolev inequality.\r\n","lang":"eng"}],"month":"01","intvolume":" 28","alternative_title":["Courant Lecture Notes"],"date_updated":"2022-05-24T06:57:28Z","department":[{"_id":"LaEr"}],"series_title":"Courant Lecture Notes","_id":"567","status":"public","type":"book","day":"01","year":"2017","date_published":"2017-01-01T00:00:00Z","doi":"10.1090/cln/028","date_created":"2018-12-11T11:47:13Z","page":"226","quality_controlled":"1","publisher":"American Mathematical Society","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Erdös L, Yau H. 2017. A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 226p.","chicago":"Erdös, László, and Horng Yau. A Dynamical Approach to Random Matrix Theory. Vol. 28. Courant Lecture Notes. American Mathematical Society, 2017. https://doi.org/10.1090/cln/028.","short":"L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 2017.","ieee":"L. Erdös and H. Yau, A Dynamical Approach to Random Matrix Theory, vol. 28. American Mathematical Society, 2017.","apa":"Erdös, L., & Yau, H. (2017). A Dynamical Approach to Random Matrix Theory (Vol. 28). American Mathematical Society. https://doi.org/10.1090/cln/028","ama":"Erdös L, Yau H. A Dynamical Approach to Random Matrix Theory. Vol 28. American Mathematical Society; 2017. doi:10.1090/cln/028","mla":"Erdös, László, and Horng Yau. A Dynamical Approach to Random Matrix Theory. Vol. 28, American Mathematical Society, 2017, doi:10.1090/cln/028."},"title":"A Dynamical Approach to Random Matrix Theory","publist_id":"7247","author":[{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","last_name":"Erdös"},{"first_name":"Horng","full_name":"Yau, Horng","last_name":"Yau"}],"article_processing_charge":"No","project":[{"_id":"258DCDE6-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"338804","name":"Random matrices, universality and disordered quantum systems"}]},{"department":[{"_id":"UlWa"},{"_id":"HeEd"}],"date_updated":"2021-01-12T08:03:12Z","status":"public","type":"journal_article","_id":"568","volume":19,"issue":"2","ec_funded":1,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["15320073"]},"publication_status":"published","month":"01","intvolume":" 19","scopus_import":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1507.04310"}],"oa_version":"Submitted Version","abstract":[{"text":"We study robust properties of zero sets of continuous maps f: X → ℝn. Formally, we analyze the family Z< r(f) := (g-1(0): ||g - f|| < r) of all zero sets of all continuous maps g closer to f than r in the max-norm. All of these sets are outside A := (x: |f(x)| ≥ r) and we claim that Z< r(f) is fully determined by A and an element of a certain cohomotopy group which (by a recent result) is computable whenever the dimension of X is at most 2n - 3. By considering all r > 0 simultaneously, the pointed cohomotopy groups form a persistence module-a structure leading to persistence diagrams as in the case of persistent homology or well groups. Eventually, we get a descriptor of persistent robust properties of zero sets that has better descriptive power (Theorem A) and better computability status (Theorem B) than the established well diagrams. Moreover, if we endow every point of each zero set with gradients of the perturbation, the robust description of the zero sets by elements of cohomotopy groups is in some sense the best possible (Theorem C).","lang":"eng"}],"title":"Persistence of zero sets","publist_id":"7246","author":[{"id":"473294AE-F248-11E8-B48F-1D18A9856A87","first_name":"Peter","last_name":"Franek","full_name":"Franek, Peter"},{"first_name":"Marek","id":"33E21118-F248-11E8-B48F-1D18A9856A87","last_name":"Krcál","full_name":"Krcál, Marek"}],"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Franek, Peter, and Marek Krcál. “Persistence of Zero Sets.” Homology, Homotopy and Applications. International Press, 2017. https://doi.org/10.4310/HHA.2017.v19.n2.a16.","ista":"Franek P, Krcál M. 2017. Persistence of zero sets. Homology, Homotopy and Applications. 19(2), 313–342.","mla":"Franek, Peter, and Marek Krcál. “Persistence of Zero Sets.” Homology, Homotopy and Applications, vol. 19, no. 2, International Press, 2017, pp. 313–42, doi:10.4310/HHA.2017.v19.n2.a16.","ama":"Franek P, Krcál M. Persistence of zero sets. Homology, Homotopy and Applications. 2017;19(2):313-342. doi:10.4310/HHA.2017.v19.n2.a16","apa":"Franek, P., & Krcál, M. (2017). Persistence of zero sets. Homology, Homotopy and Applications. International Press. https://doi.org/10.4310/HHA.2017.v19.n2.a16","short":"P. Franek, M. Krcál, Homology, Homotopy and Applications 19 (2017) 313–342.","ieee":"P. Franek and M. Krcál, “Persistence of zero sets,” Homology, Homotopy and Applications, vol. 19, no. 2. International Press, pp. 313–342, 2017."},"project":[{"grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"_id":"2590DB08-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"701309","name":"Atomic-Resolution Structures of Mitochondrial Respiratory Chain Supercomplexes (H2020)"}],"date_published":"2017-01-01T00:00:00Z","doi":"10.4310/HHA.2017.v19.n2.a16","date_created":"2018-12-11T11:47:14Z","page":"313 - 342","day":"01","publication":"Homology, Homotopy and Applications","year":"2017","publisher":"International Press","quality_controlled":"1","oa":1},{"ddc":["576"],"date_updated":"2021-01-12T08:03:15Z","file_date_updated":"2020-07-14T12:47:10Z","department":[{"_id":"CaGu"},{"_id":"JoBo"},{"_id":"NiBa"}],"_id":"570","status":"public","pubrep_id":"918","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"checksum":"273ab17f33305e4eaafd911ff88e7c5b","file_id":"5096","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2018-12-12T10:14:42Z","file_name":"IST-2017-918-v1+1_elife-28921-figures-v3.pdf","creator":"system","date_updated":"2020-07-14T12:47:10Z","file_size":8453470},{"checksum":"b433f90576c7be597cd43367946f8e7f","file_id":"5097","content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2018-12-12T10:14:43Z","file_name":"IST-2017-918-v1+2_elife-28921-v3.pdf","date_updated":"2020-07-14T12:47:10Z","file_size":1953221,"creator":"system"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2050084X"]},"publication_status":"published","volume":6,"license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"Most phenotypes are determined by molecular systems composed of specifically interacting molecules. However, unlike for individual components, little is known about the distributions of mutational effects of molecular systems as a whole. We ask how the distribution of mutational effects of a transcriptional regulatory system differs from the distributions of its components, by first independently, and then simultaneously, mutating a transcription factor and the associated promoter it represses. We find that the system distribution exhibits increased phenotypic variation compared to individual component distributions - an effect arising from intermolecular epistasis between the transcription factor and its DNA-binding site. In large part, this epistasis can be qualitatively attributed to the structure of the transcriptional regulatory system and could therefore be a common feature in prokaryotes. Counter-intuitively, intermolecular epistasis can alleviate the constraints of individual components, thereby increasing phenotypic variation that selection could act on and facilitating adaptive evolution. "}],"month":"11","intvolume":" 6","scopus_import":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Lagator, Mato, Srdjan Sarikas, Hande Acar, Jonathan P Bollback, and Calin C Guet. “Regulatory Network Structure Determines Patterns of Intermolecular Epistasis.” ELife. eLife Sciences Publications, 2017. https://doi.org/10.7554/eLife.28921.","ista":"Lagator M, Sarikas S, Acar H, Bollback JP, Guet CC. 2017. Regulatory network structure determines patterns of intermolecular epistasis. eLife. 6, e28921.","mla":"Lagator, Mato, et al. “Regulatory Network Structure Determines Patterns of Intermolecular Epistasis.” ELife, vol. 6, e28921, eLife Sciences Publications, 2017, doi:10.7554/eLife.28921.","short":"M. Lagator, S. Sarikas, H. Acar, J.P. Bollback, C.C. Guet, ELife 6 (2017).","ieee":"M. Lagator, S. Sarikas, H. Acar, J. P. Bollback, and C. C. Guet, “Regulatory network structure determines patterns of intermolecular epistasis,” eLife, vol. 6. eLife Sciences Publications, 2017.","apa":"Lagator, M., Sarikas, S., Acar, H., Bollback, J. P., & Guet, C. C. (2017). Regulatory network structure determines patterns of intermolecular epistasis. ELife. eLife Sciences Publications. https://doi.org/10.7554/eLife.28921","ama":"Lagator M, Sarikas S, Acar H, Bollback JP, Guet CC. Regulatory network structure determines patterns of intermolecular epistasis. eLife. 2017;6. doi:10.7554/eLife.28921"},"title":"Regulatory network structure determines patterns of intermolecular epistasis","publist_id":"7244","author":[{"full_name":"Lagator, Mato","last_name":"Lagator","id":"345D25EC-F248-11E8-B48F-1D18A9856A87","first_name":"Mato"},{"last_name":"Sarikas","full_name":"Sarikas, Srdjan","id":"35F0286E-F248-11E8-B48F-1D18A9856A87","first_name":"Srdjan"},{"orcid":"0000-0003-1986-9753","full_name":"Acar, Hande","last_name":"Acar","first_name":"Hande","id":"2DDF136A-F248-11E8-B48F-1D18A9856A87"},{"id":"2C6FA9CC-F248-11E8-B48F-1D18A9856A87","first_name":"Jonathan P","full_name":"Bollback, Jonathan P","orcid":"0000-0002-4624-4612","last_name":"Bollback"},{"id":"47F8433E-F248-11E8-B48F-1D18A9856A87","first_name":"Calin C","last_name":"Guet","orcid":"0000-0001-6220-2052","full_name":"Guet, Calin C"}],"article_number":"e28921","project":[{"grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"call_identifier":"H2020","_id":"2578D616-B435-11E9-9278-68D0E5697425","grant_number":"648440","name":"Selective Barriers to Horizontal Gene Transfer"}],"day":"13","publication":"eLife","has_accepted_license":"1","year":"2017","date_published":"2017-11-13T00:00:00Z","doi":"10.7554/eLife.28921","date_created":"2018-12-11T11:47:14Z","publisher":"eLife Sciences Publications","quality_controlled":"1","oa":1},{"article_number":"e30867","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Spira, Felix, et al. “Cytokinesis in Vertebrate Cells Initiates by Contraction of an Equatorial Actomyosin Network Composed of Randomly Oriented Filaments.” ELife, vol. 6, e30867, eLife Sciences Publications, 2017, doi:10.7554/eLife.30867.","ieee":"F. Spira et al., “Cytokinesis in vertebrate cells initiates by contraction of an equatorial actomyosin network composed of randomly oriented filaments,” eLife, vol. 6. eLife Sciences Publications, 2017.","short":"F. Spira, S. Cuylen Haering, S. Mehta, M. Samwer, A. Reversat, A. Verma, R. Oldenbourg, M.K. Sixt, D. Gerlich, ELife 6 (2017).","ama":"Spira F, Cuylen Haering S, Mehta S, et al. Cytokinesis in vertebrate cells initiates by contraction of an equatorial actomyosin network composed of randomly oriented filaments. eLife. 2017;6. doi:10.7554/eLife.30867","apa":"Spira, F., Cuylen Haering, S., Mehta, S., Samwer, M., Reversat, A., Verma, A., … Gerlich, D. (2017). Cytokinesis in vertebrate cells initiates by contraction of an equatorial actomyosin network composed of randomly oriented filaments. ELife. eLife Sciences Publications. https://doi.org/10.7554/eLife.30867","chicago":"Spira, Felix, Sara Cuylen Haering, Shalin Mehta, Matthias Samwer, Anne Reversat, Amitabh Verma, Rudolf Oldenbourg, Michael K Sixt, and Daniel Gerlich. “Cytokinesis in Vertebrate Cells Initiates by Contraction of an Equatorial Actomyosin Network Composed of Randomly Oriented Filaments.” ELife. eLife Sciences Publications, 2017. https://doi.org/10.7554/eLife.30867.","ista":"Spira F, Cuylen Haering S, Mehta S, Samwer M, Reversat A, Verma A, Oldenbourg R, Sixt MK, Gerlich D. 2017. Cytokinesis in vertebrate cells initiates by contraction of an equatorial actomyosin network composed of randomly oriented filaments. eLife. 6, e30867."},"title":"Cytokinesis in vertebrate cells initiates by contraction of an equatorial actomyosin network composed of randomly oriented filaments","publist_id":"7245","author":[{"first_name":"Felix","full_name":"Spira, Felix","last_name":"Spira"},{"first_name":"Sara","last_name":"Cuylen Haering","full_name":"Cuylen Haering, Sara"},{"last_name":"Mehta","full_name":"Mehta, Shalin","first_name":"Shalin"},{"first_name":"Matthias","full_name":"Samwer, Matthias","last_name":"Samwer"},{"id":"35B76592-F248-11E8-B48F-1D18A9856A87","first_name":"Anne","last_name":"Reversat","orcid":"0000-0003-0666-8928","full_name":"Reversat, Anne"},{"first_name":"Amitabh","last_name":"Verma","full_name":"Verma, Amitabh"},{"first_name":"Rudolf","last_name":"Oldenbourg","full_name":"Oldenbourg, Rudolf"},{"last_name":"Sixt","full_name":"Sixt, Michael K","orcid":"0000-0002-6620-9179","first_name":"Michael K","id":"41E9FBEA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Gerlich, Daniel","last_name":"Gerlich","first_name":"Daniel"}],"oa":1,"publisher":"eLife Sciences Publications","quality_controlled":"1","publication":"eLife","day":"06","year":"2017","has_accepted_license":"1","date_created":"2018-12-11T11:47:14Z","doi":"10.7554/eLife.30867","date_published":"2017-11-06T00:00:00Z","_id":"569","pubrep_id":"919","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","ddc":["570"],"date_updated":"2023-02-23T12:30:29Z","department":[{"_id":"MiSi"}],"file_date_updated":"2020-07-14T12:47:10Z","oa_version":"Published Version","abstract":[{"text":"The actomyosin ring generates force to ingress the cytokinetic cleavage furrow in animal cells, yet its filament organization and the mechanism of contractility is not well understood. We quantified actin filament order in human cells using fluorescence polarization microscopy and found that cleavage furrow ingression initiates by contraction of an equatorial actin network with randomly oriented filaments. The network subsequently gradually reoriented actin filaments along the cell equator. This strictly depended on myosin II activity, suggesting local network reorganization by mechanical forces. Cortical laser microsurgery revealed that during cytokinesis progression, mechanical tension increased substantially along the direction of the cell equator, while the network contracted laterally along the pole-to-pole axis without a detectable increase in tension. Our data suggest that an asymmetric increase in cortical tension promotes filament reorientation along the cytokinetic cleavage furrow, which might have implications for diverse other biological processes involving actomyosin rings.","lang":"eng"}],"intvolume":" 6","month":"11","scopus_import":1,"language":[{"iso":"eng"}],"file":[{"date_created":"2018-12-12T10:10:40Z","file_name":"IST-2017-919-v1+1_elife-30867-figures-v1.pdf","creator":"system","date_updated":"2020-07-14T12:47:10Z","file_size":9666973,"checksum":"ba09c1451153d39e4f4b7cee013e314c","file_id":"4829","access_level":"open_access","relation":"main_file","content_type":"application/pdf"},{"file_id":"4830","checksum":"01eb51f1d6ad679947415a51c988e137","content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2018-12-12T10:10:41Z","file_name":"IST-2017-919-v1+2_elife-30867-v1.pdf","date_updated":"2020-07-14T12:47:10Z","file_size":5951246,"creator":"system"}],"publication_status":"published","publication_identifier":{"issn":["2050084X"]},"volume":6}]