[{"quality_controlled":"1","doi":"10.1016/j.spa.2018.04.003","language":[{"iso":"eng"}],"issue":"3","isi":1,"title":"A Feynman–Kac formula for stochastic Dirichlet problems","arxiv":1,"day":"01","author":[{"full_name":"Gerencser, Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","last_name":"Gerencser","first_name":"Mate"},{"first_name":"István","last_name":"Gyöngy","full_name":"Gyöngy, István"}],"article_processing_charge":"No","scopus_import":"1","article_type":"original","publication":"Stochastic Processes and their Applications","department":[{"_id":"JaMa"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Elsevier","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1611.04177"}],"date_published":"2019-03-01T00:00:00Z","oa":1,"publication_status":"published","citation":{"chicago":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” <i>Stochastic Processes and Their Applications</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">https://doi.org/10.1016/j.spa.2018.04.003</a>.","ieee":"M. Gerencser and I. Gyöngy, “A Feynman–Kac formula for stochastic Dirichlet problems,” <i>Stochastic Processes and their Applications</i>, vol. 129, no. 3. Elsevier, pp. 995–1012, 2019.","short":"M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012.","ama":"Gerencser M, Gyöngy I. A Feynman–Kac formula for stochastic Dirichlet problems. <i>Stochastic Processes and their Applications</i>. 2019;129(3):995-1012. doi:<a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">10.1016/j.spa.2018.04.003</a>","apa":"Gerencser, M., &#38; Gyöngy, I. (2019). A Feynman–Kac formula for stochastic Dirichlet problems. <i>Stochastic Processes and Their Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">https://doi.org/10.1016/j.spa.2018.04.003</a>","ista":"Gerencser M, Gyöngy I. 2019. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 129(3), 995–1012.","mla":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” <i>Stochastic Processes and Their Applications</i>, vol. 129, no. 3, Elsevier, 2019, pp. 995–1012, doi:<a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">10.1016/j.spa.2018.04.003</a>."},"intvolume":"       129","external_id":{"arxiv":["1611.04177"],"isi":["000458945300012"]},"status":"public","date_created":"2018-12-11T11:45:42Z","volume":129,"abstract":[{"lang":"eng","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."}],"date_updated":"2023-08-24T14:20:49Z","month":"03","oa_version":"Preprint","type":"journal_article","page":"995-1012","_id":"301","year":"2019"},{"has_accepted_license":"1","publication_status":"published","oa":1,"date_published":"2019-04-01T00:00:00Z","ddc":["510"],"status":"public","external_id":{"isi":["000463613800001"]},"citation":{"apa":"Gerencser, M., &#38; Hairer, M. (2019). Singular SPDEs in domains with boundaries. <i>Probability Theory and Related Fields</i>. Springer. <a href=\"https://doi.org/10.1007/s00440-018-0841-1\">https://doi.org/10.1007/s00440-018-0841-1</a>","mla":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” <i>Probability Theory and Related Fields</i>, vol. 173, no. 3–4, Springer, 2019, pp. 697–758, doi:<a href=\"https://doi.org/10.1007/s00440-018-0841-1\">10.1007/s00440-018-0841-1</a>.","ista":"Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 173(3–4), 697–758.","ama":"Gerencser M, Hairer M. Singular SPDEs in domains with boundaries. <i>Probability Theory and Related Fields</i>. 2019;173(3-4):697–758. doi:<a href=\"https://doi.org/10.1007/s00440-018-0841-1\">10.1007/s00440-018-0841-1</a>","short":"M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758.","chicago":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” <i>Probability Theory and Related Fields</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00440-018-0841-1\">https://doi.org/10.1007/s00440-018-0841-1</a>.","ieee":"M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” <i>Probability Theory and Related Fields</i>, vol. 173, no. 3–4. Springer, pp. 697–758, 2019."},"intvolume":"       173","type":"journal_article","oa_version":"Published Version","month":"04","date_updated":"2023-08-24T14:38:32Z","abstract":[{"lang":"eng","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."}],"page":"697–758","file_date_updated":"2020-07-14T12:46:03Z","date_created":"2018-12-11T11:45:48Z","volume":173,"year":"2019","acknowledgement":"MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n","_id":"319","publication_identifier":{"eissn":["14322064"],"issn":["01788051"]},"quality_controlled":"1","doi":"10.1007/s00440-018-0841-1","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"issue":"3-4","language":[{"iso":"eng"}],"isi":1,"file":[{"file_name":"2018_ProbTheory_Gerencser.pdf","creator":"dernst","relation":"main_file","content_type":"application/pdf","file_size":893182,"checksum":"288d16ef7291242f485a9660979486e3","date_updated":"2020-07-14T12:46:03Z","file_id":"5722","access_level":"open_access","date_created":"2018-12-17T16:25:24Z"}],"day":"01","author":[{"full_name":"Gerencser, Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate","last_name":"Gerencser"},{"full_name":"Hairer, Martin","first_name":"Martin","last_name":"Hairer"}],"publist_id":"7546","title":"Singular SPDEs in domains with boundaries","department":[{"_id":"JaMa"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Springer","article_type":"original","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)"},"article_processing_charge":"Yes (via OA deal)","scopus_import":"1","publication":"Probability Theory and Related Fields"},{"title":"Modular invariants for genus 3 hyperelliptic curves","arxiv":1,"article_number":"9","author":[{"full_name":"Ionica, Sorina","last_name":"Ionica","first_name":"Sorina"},{"full_name":"Kılıçer, Pınar","last_name":"Kılıçer","first_name":"Pınar"},{"full_name":"Lauter, Kristin","first_name":"Kristin","last_name":"Lauter"},{"first_name":"Elisa","last_name":"Lorenzo García","full_name":"Lorenzo García, Elisa"},{"first_name":"Maria-Adelina","last_name":"Manzateanu","id":"be8d652e-a908-11ec-82a4-e2867729459c","full_name":"Manzateanu, Maria-Adelina"},{"last_name":"Massierer","first_name":"Maike","full_name":"Massierer, Maike"},{"full_name":"Vincent, Christelle","first_name":"Christelle","last_name":"Vincent"}],"day":"02","publication":"Research in Number Theory","scopus_import":"1","article_processing_charge":"No","article_type":"original","publisher":"Springer Nature","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","department":[{"_id":"TiBr"}],"doi":"10.1007/s40993-018-0146-6","quality_controlled":"1","publication_identifier":{"eissn":["2363-9555"],"issn":["2522-0160"]},"keyword":["Algebra and Number Theory"],"language":[{"iso":"eng"}],"volume":5,"date_created":"2022-03-18T12:09:48Z","date_updated":"2023-09-05T15:39:31Z","abstract":[{"lang":"eng","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."}],"month":"01","type":"journal_article","oa_version":"Preprint","_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. ","year":"2019","date_published":"2019-01-02T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1807.08986"}],"publication_status":"published","oa":1,"intvolume":"         5","citation":{"ieee":"S. Ionica <i>et al.</i>, “Modular invariants for genus 3 hyperelliptic curves,” <i>Research in Number Theory</i>, vol. 5. Springer Nature, 2019.","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.” <i>Research in Number Theory</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s40993-018-0146-6\">https://doi.org/10.1007/s40993-018-0146-6</a>.","short":"S. Ionica, P. Kılıçer, K. Lauter, E. Lorenzo García, M.-A. Manzateanu, M. Massierer, C. Vincent, Research in Number Theory 5 (2019).","ama":"Ionica S, Kılıçer P, Lauter K, et al. Modular invariants for genus 3 hyperelliptic curves. <i>Research in Number Theory</i>. 2019;5. doi:<a href=\"https://doi.org/10.1007/s40993-018-0146-6\">10.1007/s40993-018-0146-6</a>","mla":"Ionica, Sorina, et al. “Modular Invariants for Genus 3 Hyperelliptic Curves.” <i>Research in Number Theory</i>, vol. 5, 9, Springer Nature, 2019, doi:<a href=\"https://doi.org/10.1007/s40993-018-0146-6\">10.1007/s40993-018-0146-6</a>.","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.","apa":"Ionica, S., Kılıçer, P., Lauter, K., Lorenzo García, E., Manzateanu, M.-A., Massierer, M., &#38; Vincent, C. (2019). Modular invariants for genus 3 hyperelliptic curves. <i>Research in Number Theory</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40993-018-0146-6\">https://doi.org/10.1007/s40993-018-0146-6</a>"},"status":"public","external_id":{"arxiv":["1807.08986"]}},{"publication_identifier":{"issn":["2398-7340"]},"doi":"10.29007/rjwn","quality_controlled":"1","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"},"language":[{"iso":"eng"}],"author":[{"first_name":"Goran","last_name":"Frehse","full_name":"Frehse, Goran"},{"full_name":"Abate, Alessandro","last_name":"Abate","first_name":"Alessandro"},{"last_name":"Adzkiya","first_name":"Dieky","full_name":"Adzkiya, Dieky"},{"full_name":"Becchi, Anna","first_name":"Anna","last_name":"Becchi"},{"full_name":"Bu, Lei","last_name":"Bu","first_name":"Lei"},{"first_name":"Alessandro","last_name":"Cimatti","full_name":"Cimatti, Alessandro"},{"full_name":"Giacobbe, Mirco","id":"3444EA5E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8180-0904","last_name":"Giacobbe","first_name":"Mirco"},{"full_name":"Griggio, Alberto","first_name":"Alberto","last_name":"Griggio"},{"full_name":"Mover, Sergio","first_name":"Sergio","last_name":"Mover"},{"full_name":"Mufid, Muhammad Syifa'ul","last_name":"Mufid","first_name":"Muhammad Syifa'ul"},{"first_name":"Idriss","last_name":"Riouak","full_name":"Riouak, Idriss"},{"last_name":"Tonetta","first_name":"Stefano","full_name":"Tonetta, Stefano"},{"last_name":"Zaffanella","first_name":"Enea","full_name":"Zaffanella, Enea"}],"file":[{"checksum":"4b92e333db7b4e2349501a804dfede69","file_id":"11391","date_updated":"2022-05-17T06:55:49Z","access_level":"open_access","date_created":"2022-05-17T06:55:49Z","file_name":"2019_EPiCs_Frehse.pdf","success":1,"creator":"dernst","file_size":346415,"content_type":"application/pdf","relation":"main_file"}],"day":"25","title":"ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"EasyChair","department":[{"_id":"ToHe"}],"publication":"ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems","article_processing_charge":"No","scopus_import":"1","publication_status":"published","oa":1,"has_accepted_license":"1","date_published":"2019-05-25T00:00:00Z","ddc":["000"],"alternative_title":["EPiC Series in Computing"],"editor":[{"full_name":"Frehse, Goran","first_name":"Goran","last_name":"Frehse"},{"last_name":"Althoff","first_name":"Matthias","full_name":"Althoff, Matthias"}],"status":"public","intvolume":"        61","citation":{"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. <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i>. Vol 61. EasyChair; 2019:1-13. doi:<a href=\"https://doi.org/10.29007/rjwn\">10.29007/rjwn</a>","mla":"Frehse, Goran, et al. “ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics.” <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i>, edited by Goran Frehse and Matthias Althoff, vol. 61, EasyChair, 2019, pp. 1–13, doi:<a href=\"https://doi.org/10.29007/rjwn\">10.29007/rjwn</a>.","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.","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 &#38; M. Althoff (Eds.), <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i> (Vol. 61, pp. 1–13). Montreal, Canada: EasyChair. <a href=\"https://doi.org/10.29007/rjwn\">https://doi.org/10.29007/rjwn</a>","ieee":"G. Frehse <i>et al.</i>, “ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics,” in <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i>, Montreal, Canada, 2019, vol. 61, pp. 1–13.","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 <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i>, edited by Goran Frehse and Matthias Althoff, 61:1–13. EasyChair, 2019. <a href=\"https://doi.org/10.29007/rjwn\">https://doi.org/10.29007/rjwn</a>.","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."},"page":"1-13","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"}],"date_updated":"2022-05-17T07:09:47Z","month":"05","type":"conference","oa_version":"Published Version","volume":61,"file_date_updated":"2022-05-17T06:55:49Z","date_created":"2022-03-18T12:29:23Z","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).","year":"2019","_id":"10877"},{"department":[{"_id":"JaMa"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publisher":"American Institute of Mathematical Sciences","scopus_import":"1","article_processing_charge":"No","article_type":"original","publication":"Discrete and Continuous Dynamical Systems","day":"01","author":[{"full_name":"Flandoli, Franco","last_name":"Flandoli","first_name":"Franco"},{"full_name":"Priola, Enrico","first_name":"Enrico","last_name":"Priola"},{"first_name":"Giovanni A","last_name":"Zanco","id":"47491882-F248-11E8-B48F-1D18A9856A87","full_name":"Zanco, Giovanni A"}],"arxiv":1,"title":"A mean-field model with discontinuous coefficients for neurons with spatial interaction","project":[{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"language":[{"iso":"eng"}],"issue":"6","isi":1,"keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics","Analysis"],"publication_identifier":{"issn":["1553-5231"]},"quality_controlled":"1","doi":"10.3934/dcds.2019126","year":"2019","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.","_id":"10878","date_updated":"2023-09-08T11:34:45Z","abstract":[{"lang":"eng","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."}],"month":"06","type":"journal_article","oa_version":"Preprint","page":"3037-3067","date_created":"2022-03-18T12:33:34Z","volume":39,"external_id":{"arxiv":["1708.04156"],"isi":["000459954800003"]},"status":"public","citation":{"short":"F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067.","ieee":"F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous coefficients for neurons with spatial interaction,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 39, no. 6. American Institute of Mathematical Sciences, pp. 3037–3067, 2019.","chicago":"Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences, 2019. <a href=\"https://doi.org/10.3934/dcds.2019126\">https://doi.org/10.3934/dcds.2019126</a>.","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.","mla":"Flandoli, Franco, et al. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 39, no. 6, American Institute of Mathematical Sciences, 2019, pp. 3037–67, doi:<a href=\"https://doi.org/10.3934/dcds.2019126\">10.3934/dcds.2019126</a>.","apa":"Flandoli, F., Priola, E., &#38; Zanco, G. A. (2019). A mean-field model with discontinuous coefficients for neurons with spatial interaction. <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences. <a href=\"https://doi.org/10.3934/dcds.2019126\">https://doi.org/10.3934/dcds.2019126</a>","ama":"Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients for neurons with spatial interaction. <i>Discrete and Continuous Dynamical Systems</i>. 2019;39(6):3037-3067. doi:<a href=\"https://doi.org/10.3934/dcds.2019126\">10.3934/dcds.2019126</a>"},"intvolume":"        39","oa":1,"publication_status":"published","main_file_link":[{"url":"https://arxiv.org/abs/1708.04156","open_access":"1"}],"date_published":"2019-06-01T00:00:00Z"},{"department":[{"_id":"LaEr"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publisher":"European Mathematical Society Publishing House","article_type":"original","scopus_import":"1","article_processing_charge":"No","publication":"Journal of Spectral Theory","day":"01","author":[{"last_name":"Dietlein","first_name":"Adrian M","id":"317CB464-F248-11E8-B48F-1D18A9856A87","full_name":"Dietlein, Adrian M"},{"full_name":"Gebert, Martin","first_name":"Martin","last_name":"Gebert"},{"full_name":"Müller, Peter","last_name":"Müller","first_name":"Peter"}],"arxiv":1,"title":"Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function","issue":"3","language":[{"iso":"eng"}],"keyword":["Random Schrödinger operators","spectral shift function","Anderson orthogonality"],"isi":1,"publication_identifier":{"issn":["1664-039X"]},"quality_controlled":"1","doi":"10.4171/jst/267","year":"2019","acknowledgement":"M.G. was supported by the DFG under grant GE 2871/1-1.","_id":"10879","type":"journal_article","oa_version":"Preprint","month":"03","abstract":[{"lang":"eng","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."}],"date_updated":"2023-09-08T11:35:31Z","page":"921-965","date_created":"2022-03-18T12:36:42Z","volume":9,"status":"public","external_id":{"arxiv":["1701.02956"],"isi":["000484709400006"]},"citation":{"short":"A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965.","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,” <i>Journal of Spectral Theory</i>, vol. 9, no. 3. European Mathematical Society Publishing House, pp. 921–965, 2019.","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.” <i>Journal of Spectral Theory</i>. European Mathematical Society Publishing House, 2019. <a href=\"https://doi.org/10.4171/jst/267\">https://doi.org/10.4171/jst/267</a>.","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.","mla":"Dietlein, Adrian M., et al. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” <i>Journal of Spectral Theory</i>, vol. 9, no. 3, European Mathematical Society Publishing House, 2019, pp. 921–65, doi:<a href=\"https://doi.org/10.4171/jst/267\">10.4171/jst/267</a>.","apa":"Dietlein, A. M., Gebert, M., &#38; Müller, P. (2019). Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. <i>Journal of Spectral Theory</i>. European Mathematical Society Publishing House. <a href=\"https://doi.org/10.4171/jst/267\">https://doi.org/10.4171/jst/267</a>","ama":"Dietlein AM, Gebert M, Müller P. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. <i>Journal of Spectral Theory</i>. 2019;9(3):921-965. doi:<a href=\"https://doi.org/10.4171/jst/267\">10.4171/jst/267</a>"},"intvolume":"         9","publication_status":"published","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1701.02956"}],"date_published":"2019-03-01T00:00:00Z"},{"article_number":"A3.27","title":"Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy","author":[{"id":"3F8ABDDA-F248-11E8-B48F-1D18A9856A87","full_name":"Kim, Olena","last_name":"Kim","first_name":"Olena"},{"last_name":"Borges Merjane","first_name":"Carolina","full_name":"Borges Merjane, Carolina","id":"4305C450-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0005-401X"},{"orcid":"0000-0001-5001-4804","id":"353C1B58-F248-11E8-B48F-1D18A9856A87","full_name":"Jonas, Peter M","last_name":"Jonas","first_name":"Peter M"}],"day":"11","publication":"Intrinsic Activity","article_processing_charge":"No","ec_funded":1,"publisher":"Austrian Pharmacological Society","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","department":[{"_id":"PeJo"}],"doi":"10.25006/ia.7.s1-a3.27","quality_controlled":"1","publication_identifier":{"issn":["2309-8503"]},"keyword":["hippocampus","mossy fibers","readily releasable pool","electron microscopy"],"conference":{"end_date":"2019-09-27","name":"ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological Society","location":"Innsbruck, Austria","start_date":"2019-09-25"},"issue":"Suppl. 1","language":[{"iso":"eng"}],"project":[{"name":"Biophysics and circuit function of a giant cortical glumatergic synapse","_id":"25B7EB9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"692692"},{"grant_number":"708497","_id":"25BAF7B2-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Presynaptic calcium channels distribution and impact on coupling at the hippocampal mossy fiber synapse"},{"call_identifier":"FWF","_id":"25C3DBB6-B435-11E9-9278-68D0E5697425","name":"Zellkommunikation in Gesundheit und Krankheit","grant_number":"W01205"},{"grant_number":"Z00312","name":"The Wittgenstein Prize","call_identifier":"FWF","_id":"25C5A090-B435-11E9-9278-68D0E5697425"}],"volume":7,"date_created":"2022-04-20T15:06:05Z","oa_version":"Published Version","type":"conference_abstract","month":"09","date_updated":"2024-03-25T23:30:04Z","_id":"11222","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).","year":"2019","date_published":"2019-09-11T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://www.intrinsicactivity.org/2019/7/S1/A3.27/"}],"publication_status":"published","oa":1,"intvolume":"         7","related_material":{"record":[{"id":"11196","status":"public","relation":"dissertation_contains"}]},"citation":{"short":"O. Kim, C. Borges Merjane, P.M. Jonas, in:, Intrinsic Activity, Austrian Pharmacological Society, 2019.","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 <i>Intrinsic Activity</i>, Vol. 7. Austrian Pharmacological Society, 2019. <a href=\"https://doi.org/10.25006/ia.7.s1-a3.27\">https://doi.org/10.25006/ia.7.s1-a3.27</a>.","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 <i>Intrinsic Activity</i>, Innsbruck, Austria, 2019, vol. 7, no. Suppl. 1.","apa":"Kim, O., Borges Merjane, C., &#38; Jonas, P. M. (2019). Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. In <i>Intrinsic Activity</i> (Vol. 7). Innsbruck, Austria: Austrian Pharmacological Society. <a href=\"https://doi.org/10.25006/ia.7.s1-a3.27\">https://doi.org/10.25006/ia.7.s1-a3.27</a>","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.","mla":"Kim, Olena, et al. “Functional Analysis of the Docked Vesicle Pool in Hippocampal Mossy Fiber Terminals by Electron Microscopy.” <i>Intrinsic Activity</i>, vol. 7, no. Suppl. 1, A3.27, Austrian Pharmacological Society, 2019, doi:<a href=\"https://doi.org/10.25006/ia.7.s1-a3.27\">10.25006/ia.7.s1-a3.27</a>.","ama":"Kim O, Borges Merjane C, Jonas PM. Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. In: <i>Intrinsic Activity</i>. Vol 7. Austrian Pharmacological Society; 2019. doi:<a href=\"https://doi.org/10.25006/ia.7.s1-a3.27\">10.25006/ia.7.s1-a3.27</a>"},"status":"public"},{"author":[{"last_name":"Biniaz","first_name":"Ahmad","full_name":"Biniaz, Ahmad"},{"full_name":"Jain, Kshitij","last_name":"Jain","first_name":"Kshitij"},{"last_name":"Lubiw","first_name":"Anna","full_name":"Lubiw, Anna"},{"full_name":"Masárová, Zuzana","orcid":"0000-0002-6660-1322","id":"45CFE238-F248-11E8-B48F-1D18A9856A87","first_name":"Zuzana","last_name":"Masárová"},{"last_name":"Miltzow","first_name":"Tillmann","full_name":"Miltzow, Tillmann"},{"last_name":"Mondal","first_name":"Debajyoti","full_name":"Mondal, Debajyoti"},{"full_name":"Naredla, Anurag Murty","first_name":"Anurag Murty","last_name":"Naredla"},{"last_name":"Tkadlec","first_name":"Josef","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1097-9684","full_name":"Tkadlec, Josef"},{"first_name":"Alexi","last_name":"Turcotte","full_name":"Turcotte, Alexi"}],"day":"16","date_updated":"2024-01-04T12:42:08Z","abstract":[{"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.","lang":"eng"}],"oa_version":"Preprint","month":"03","type":"preprint","title":"Token swapping on trees","arxiv":1,"article_number":"1903.06981","date_created":"2020-06-08T12:25:25Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2019","department":[{"_id":"HeEd"},{"_id":"UlWa"},{"_id":"KrCh"}],"publication":"arXiv","_id":"7950","article_processing_charge":"No","oa":1,"publication_status":"submitted","date_published":"2019-03-16T00:00:00Z","main_file_link":[{"url":"https://arxiv.org/abs/1903.06981","open_access":"1"}],"status":"public","external_id":{"arxiv":["1903.06981"]},"related_material":{"record":[{"id":"7944","status":"public","relation":"dissertation_contains"},{"status":"public","id":"12833","relation":"later_version"}]},"citation":{"short":"A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, ArXiv (n.d.).","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.” <i>ArXiv</i>, n.d.","ieee":"A. Biniaz <i>et al.</i>, “Token swapping on trees,” <i>arXiv</i>. .","apa":"Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte, A. (n.d.). Token swapping on trees. <i>arXiv</i>.","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.","mla":"Biniaz, Ahmad, et al. “Token Swapping on Trees.” <i>ArXiv</i>, 1903.06981.","ama":"Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. <i>arXiv</i>."},"language":[{"iso":"eng"}]},{"citation":{"short":"G. Trébuchet, P.B. Cattenoz, J. Zsámboki, D. Mazaud, D.E. Siekhaus, M. Fanto, A. Giangrande, Journal of Neuroscience 39 (2019) 238–255.","ieee":"G. Trébuchet <i>et al.</i>, “The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate,” <i>Journal of Neuroscience</i>, vol. 39, no. 2. Society for Neuroscience, pp. 238–255, 2019.","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.” <i>Journal of Neuroscience</i>. Society for Neuroscience, 2019. <a href=\"https://doi.org/10.1523/JNEUROSCI.1059-18.2018\">https://doi.org/10.1523/JNEUROSCI.1059-18.2018</a>.","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.","mla":"Trébuchet, Guillaume, et al. “The Repo Homeodomain Transcription Factor Suppresses Hematopoiesis in Drosophila and Preserves the Glial Fate.” <i>Journal of Neuroscience</i>, vol. 39, no. 2, Society for Neuroscience, 2019, pp. 238–55, doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.1059-18.2018\">10.1523/JNEUROSCI.1059-18.2018</a>.","apa":"Trébuchet, G., Cattenoz, P. B., Zsámboki, J., Mazaud, D., Siekhaus, D. E., Fanto, M., &#38; Giangrande, A. (2019). The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate. <i>Journal of Neuroscience</i>. Society for Neuroscience. <a href=\"https://doi.org/10.1523/JNEUROSCI.1059-18.2018\">https://doi.org/10.1523/JNEUROSCI.1059-18.2018</a>","ama":"Trébuchet G, Cattenoz PB, Zsámboki J, et al. The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate. <i>Journal of Neuroscience</i>. 2019;39(2):238-255. doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.1059-18.2018\">10.1523/JNEUROSCI.1059-18.2018</a>"},"intvolume":"        39","status":"public","external_id":{"isi":["000455189900006"],"pmid":["30504274"]},"ddc":["570"],"date_published":"2019-01-09T00:00:00Z","has_accepted_license":"1","publication_status":"published","oa":1,"_id":"8","year":"2019","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.","date_created":"2018-12-11T11:44:07Z","file_date_updated":"2020-10-02T09:33:28Z","volume":39,"date_updated":"2023-09-19T10:10:55Z","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."}],"month":"01","oa_version":"Published Version","type":"journal_article","page":"238-255","language":[{"iso":"eng"}],"issue":"2","isi":1,"project":[{"name":"Investigating the role of transporters in invasive migration through junctions","call_identifier":"FP7","_id":"2536F660-B435-11E9-9278-68D0E5697425","grant_number":"334077"}],"quality_controlled":"1","doi":"10.1523/JNEUROSCI.1059-18.2018","ec_funded":1,"scopus_import":"1","article_processing_charge":"No","article_type":"original","publication":"Journal of Neuroscience","pmid":1,"department":[{"_id":"DaSi"}],"publisher":"Society for Neuroscience","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publist_id":"8048","title":"The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate","file":[{"file_size":9455414,"content_type":"application/pdf","relation":"main_file","creator":"dernst","file_name":"2019_JournNeuroscience_Trebuchet.pdf","success":1,"date_created":"2020-10-02T09:33:28Z","access_level":"open_access","file_id":"8596","date_updated":"2020-10-02T09:33:28Z","checksum":"8f6925eb4cd1e8747d8ea25929c68de6"}],"day":"09","author":[{"first_name":"Guillaume","last_name":"Trébuchet","full_name":"Trébuchet, Guillaume"},{"full_name":"Cattenoz, Pierre B","first_name":"Pierre B","last_name":"Cattenoz"},{"first_name":"János","last_name":"Zsámboki","full_name":"Zsámboki, János"},{"full_name":"Mazaud, David","last_name":"Mazaud","first_name":"David"},{"last_name":"Siekhaus","first_name":"Daria E","full_name":"Siekhaus, Daria E","orcid":"0000-0001-8323-8353","id":"3D224B9E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Fanto","first_name":"Manolis","full_name":"Fanto, Manolis"},{"first_name":"Angela","last_name":"Giangrande","full_name":"Giangrande, Angela"}]},{"day":"01","file":[{"file_name":"2018_CommunMathPhys_Deuchert.pdf","content_type":"application/pdf","relation":"main_file","file_size":893902,"creator":"dernst","date_updated":"2020-07-14T12:48:07Z","file_id":"5688","checksum":"c7e9880b43ac726712c1365e9f2f73a6","date_created":"2018-12-17T10:34:06Z","access_level":"open_access"}],"author":[{"full_name":"Deuchert, Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","first_name":"Andreas","last_name":"Deuchert"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer","first_name":"Robert"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"publist_id":"7974","title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","department":[{"_id":"RoSe"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Springer","ec_funded":1,"article_processing_charge":"Yes (via OA deal)","scopus_import":"1","article_type":"original","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)"},"publication":"Communications in Mathematical Physics","quality_controlled":"1","doi":"10.1007/s00220-018-3239-0","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"grant_number":"P27533_N27","call_identifier":"FWF","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"}],"language":[{"iso":"eng"}],"issue":"2","isi":1,"date_updated":"2023-08-24T14:27:51Z","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."}],"type":"journal_article","oa_version":"Published Version","month":"06","page":"723-776","date_created":"2018-12-11T11:44:31Z","file_date_updated":"2020-07-14T12:48:07Z","volume":368,"year":"2019","_id":"80","has_accepted_license":"1","oa":1,"publication_status":"published","date_published":"2019-06-01T00:00:00Z","ddc":["530"],"status":"public","external_id":{"isi":["000467796800007"]},"citation":{"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.","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” <i>Communications in Mathematical Physics</i>, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:<a href=\"https://doi.org/10.1007/s00220-018-3239-0\">10.1007/s00220-018-3239-0</a>.","apa":"Deuchert, A., Seiringer, R., &#38; Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-018-3239-0\">https://doi.org/10.1007/s00220-018-3239-0</a>","ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>. 2019;368(2):723-776. doi:<a href=\"https://doi.org/10.1007/s00220-018-3239-0\">10.1007/s00220-018-3239-0</a>","short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.","ieee":"A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” <i>Communications in Mathematical Physics</i>, 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.” <i>Communications in Mathematical Physics</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00220-018-3239-0\">https://doi.org/10.1007/s00220-018-3239-0</a>."},"intvolume":"       368"},{"status":"public","external_id":{"arxiv":["1902.08750"]},"citation":{"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.","ieee":"D. Betea, J. Bouttier, P. Nejjar, and M. Vuletíc, “New edge asymptotics of skew Young diagrams via free boundaries,” in <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>, Ljubljana, Slovenia, 2019.","chicago":"Betea, Dan, Jérémie Bouttier, Peter Nejjar, and Mirjana Vuletíc. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” In <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. 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.","mla":"Betea, Dan, et al. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>, 34, Formal Power Series and Algebraic Combinatorics, 2019.","apa":"Betea, D., Bouttier, J., Nejjar, P., &#38; Vuletíc, M. (2019). New edge asymptotics of skew Young diagrams via free boundaries. In <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. Ljubljana, Slovenia: Formal Power Series and Algebraic Combinatorics.","ama":"Betea D, Bouttier J, Nejjar P, Vuletíc M. New edge asymptotics of skew Young diagrams via free boundaries. In: <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. Formal Power Series and Algebraic Combinatorics; 2019."},"publication_status":"published","oa":1,"date_published":"2019-07-01T00:00:00Z","main_file_link":[{"url":"https://arxiv.org/abs/1902.08750","open_access":"1"}],"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","year":"2019","_id":"8175","oa_version":"Preprint","month":"07","type":"conference","date_updated":"2021-01-12T08:17:18Z","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."}],"date_created":"2020-07-26T22:01:04Z","project":[{"grant_number":"338804","call_identifier":"FP7","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems"},{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics"}],"conference":{"start_date":"2019-07-01","location":"Ljubljana, Slovenia","name":"FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics","end_date":"2019-07-05"},"language":[{"iso":"eng"}],"quality_controlled":"1","publisher":"Formal Power Series and Algebraic Combinatorics","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"LaEr"}],"publication":"Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics","ec_funded":1,"scopus_import":"1","article_processing_charge":"No","author":[{"first_name":"Dan","last_name":"Betea","full_name":"Betea, Dan"},{"full_name":"Bouttier, Jérémie","first_name":"Jérémie","last_name":"Bouttier"},{"last_name":"Nejjar","first_name":"Peter","id":"4BF426E2-F248-11E8-B48F-1D18A9856A87","full_name":"Nejjar, Peter"},{"full_name":"Vuletíc, Mirjana","first_name":"Mirjana","last_name":"Vuletíc"}],"day":"01","article_number":"34","title":"New edge asymptotics of skew Young diagrams via free boundaries","arxiv":1},{"project":[{"_id":"26611F5C-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312"}],"status":"public","external_id":{"arxiv":["1910.12628"]},"related_material":{"record":[{"id":"11446","status":"public","relation":"later_version"},{"relation":"dissertation_contains","status":"public","id":"8156"}]},"language":[{"iso":"eng"}],"citation":{"ama":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. <i>arXiv</i>.","mla":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” <i>ArXiv</i>, 1910.12628, arXiv.","ista":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. arXiv, 1910.12628.","apa":"Avvakumov, S., &#38; Kudrya, S. (n.d.). Vanishing of all equivariant obstructions and the mapping degree. <i>arXiv</i>. arXiv.","ieee":"S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and the mapping degree,” <i>arXiv</i>. arXiv.","chicago":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” <i>ArXiv</i>. arXiv, n.d.","short":"S. Avvakumov, S. Kudrya, ArXiv (n.d.)."},"publication_status":"submitted","oa":1,"date_published":"2019-10-28T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.12628"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"arXiv","year":"2019","department":[{"_id":"UlWa"}],"_id":"8182","publication":"arXiv","article_processing_charge":"No","author":[{"last_name":"Avvakumov","first_name":"Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","full_name":"Avvakumov, Sergey"},{"full_name":"Kudrya, Sergey","id":"ecf01965-d252-11ea-95a5-8ada5f6c6a67","first_name":"Sergey","last_name":"Kudrya"}],"month":"10","oa_version":"Preprint","type":"preprint","abstract":[{"lang":"eng","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."}],"day":"28","date_updated":"2023-09-07T13:12:17Z","article_number":"1910.12628","arxiv":1,"title":"Vanishing of all equivariant obstructions and the mapping degree","date_created":"2020-07-30T10:45:08Z"},{"publication_status":"submitted","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1908.08731","open_access":"1"}],"date_published":"2019-08-23T00:00:00Z","status":"public","external_id":{"isi":["000986519600004"],"arxiv":["1908.08731"]},"project":[{"call_identifier":"FWF","_id":"26611F5C-B435-11E9-9278-68D0E5697425","name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312"}],"citation":{"short":"S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).","ieee":"S. Avvakumov, R. Karasev, and A. Skopenkov, “Stronger counterexamples to the topological Tverberg conjecture,” <i>arXiv</i>. arXiv.","chicago":"Avvakumov, Sergey, R. Karasev, and A. Skopenkov. “Stronger Counterexamples to the Topological Tverberg Conjecture.” <i>ArXiv</i>. arXiv, n.d.","ista":"Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv, 1908.08731.","mla":"Avvakumov, Sergey, et al. “Stronger Counterexamples to the Topological Tverberg Conjecture.” <i>ArXiv</i>, 1908.08731, arXiv.","apa":"Avvakumov, S., Karasev, R., &#38; Skopenkov, A. (n.d.). Stronger counterexamples to the topological Tverberg conjecture. <i>arXiv</i>. arXiv.","ama":"Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. <i>arXiv</i>."},"language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"8156","status":"public"}]},"isi":1,"day":"23","date_updated":"2023-09-08T11:20:02Z","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. "}],"month":"08","type":"preprint","oa_version":"Preprint","author":[{"first_name":"Sergey","last_name":"Avvakumov","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","full_name":"Avvakumov, Sergey"},{"full_name":"Karasev, R.","first_name":"R.","last_name":"Karasev"},{"first_name":"A.","last_name":"Skopenkov","full_name":"Skopenkov, A."}],"date_created":"2020-07-30T10:45:34Z","arxiv":1,"title":"Stronger counterexamples to the topological Tverberg conjecture","article_number":"1908.08731","department":[{"_id":"UlWa"}],"year":"2019","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publisher":"arXiv","acknowledgement":"We would like to thank F. Frick for helpful discussions","article_processing_charge":"No","publication":"arXiv","_id":"8184"},{"date_published":"2019-07-25T00:00:00Z","doi":"10.48550/arXiv.1907.11183","main_file_link":[{"url":"https://arxiv.org/abs/1907.11183","open_access":"1"}],"oa":1,"publication_status":"submitted","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"8156"}],"link":[{"relation":"later_version","url":"https://doi.org/10.1112/mtk.12059"}]},"citation":{"ama":"Avvakumov S, Karasev R. Envy-free division using mapping degree. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.1907.11183\">10.48550/arXiv.1907.11183</a>","ista":"Avvakumov S, Karasev R. Envy-free division using mapping degree. arXiv, 1907.11183.","mla":"Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping Degree.” <i>ArXiv</i>, 1907.11183, doi:<a href=\"https://doi.org/10.48550/arXiv.1907.11183\">10.48550/arXiv.1907.11183</a>.","apa":"Avvakumov, S., &#38; Karasev, R. (n.d.). Envy-free division using mapping degree. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.1907.11183\">https://doi.org/10.48550/arXiv.1907.11183</a>","ieee":"S. Avvakumov and R. Karasev, “Envy-free division using mapping degree,” <i>arXiv</i>. .","chicago":"Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping Degree.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.1907.11183\">https://doi.org/10.48550/arXiv.1907.11183</a>.","short":"S. Avvakumov, R. Karasev, ArXiv (n.d.)."},"language":[{"iso":"eng"}],"project":[{"_id":"26611F5C-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312"}],"status":"public","external_id":{"arxiv":["1907.11183"]},"title":"Envy-free division using mapping degree","arxiv":1,"article_number":"1907.11183","date_created":"2020-07-30T10:45:51Z","author":[{"id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","full_name":"Avvakumov, Sergey","last_name":"Avvakumov","first_name":"Sergey"},{"full_name":"Karasev, Roman","first_name":"Roman","last_name":"Karasev"}],"day":"25","date_updated":"2023-09-07T13:12:17Z","abstract":[{"text":"In this paper we study envy-free division problems. The classical approach to some of such problems, used by David Gale, reduces to considering continuous maps of a simplex to itself and finding sufficient conditions when this map hits the center of the simplex. The mere continuity is not sufficient for such a conclusion, the usual assumption (for example, in the Knaster--Kuratowski--Mazurkiewicz and the Gale theorem) is a certain boundary condition.\r\n  We follow Erel Segal-Halevi, Fr\\'ed\\'eric Meunier, and Shira Zerbib, and replace the boundary condition by another assumption, which has the economic meaning of possibility for a player to prefer an empty part in the segment\r\npartition problem. We solve the problem positively when $n$, the number of players that divide the segment, is a prime power, and we provide counterexamples for every $n$ which is not a prime power. We also provide counterexamples relevant to a wider class of fair or envy-free partition problems when $n$ is odd and not a prime power.","lang":"eng"}],"month":"07","oa_version":"Preprint","type":"preprint","publication":"arXiv","_id":"8185","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"UlWa"}],"year":"2019"},{"date_created":"2020-08-21T04:25:39Z","page":"115-144","type":"book_chapter","oa_version":"None","month":"07","date_updated":"2023-09-08T11:24:15Z","abstract":[{"lang":"eng","text":"We review the history of population genetics, starting with its origins a century ago from the synthesis between Mendel and Darwin's ideas, through to the recent development of sophisticated schemes of inference from sequence data, based on the coalescent. We explain the close relation between the coalescent and a diffusion process, which we illustrate by their application to understand spatial structure. We summarise the powerful methods available for analysis of multiple loci, when linkage equilibrium can be assumed, and then discuss approaches to the more challenging case, where associations between alleles require that we follow genotype, rather than allele, frequencies. Though we can hardly cover the whole of population genetics, we give an overview of the current state of the subject, and future challenges to it."}],"_id":"8281","year":"2019","date_published":"2019-07-29T00:00:00Z","ddc":["576"],"publication_status":"published","citation":{"apa":"Barton, N. H., &#38; Etheridge, A. (2019). Mathematical models in population genetics. In D. Balding, I. Moltke, &#38; J. Marioni (Eds.), <i>Handbook of statistical genomics</i> (4th ed., pp. 115–144). Wiley. <a href=\"https://doi.org/10.1002/9781119487845.ch4\">https://doi.org/10.1002/9781119487845.ch4</a>","ista":"Barton NH, Etheridge A. 2019.Mathematical models in population genetics. In: Handbook of statistical genomics. , 115–144.","mla":"Barton, Nicholas H., and Alison Etheridge. “Mathematical Models in Population Genetics.” <i>Handbook of Statistical Genomics</i>, edited by David Balding et al., 4th ed., Wiley, 2019, pp. 115–44, doi:<a href=\"https://doi.org/10.1002/9781119487845.ch4\">10.1002/9781119487845.ch4</a>.","ama":"Barton NH, Etheridge A. Mathematical models in population genetics. In: Balding D, Moltke I, Marioni J, eds. <i>Handbook of Statistical Genomics</i>. 4th ed. Wiley; 2019:115-144. doi:<a href=\"https://doi.org/10.1002/9781119487845.ch4\">10.1002/9781119487845.ch4</a>","short":"N.H. Barton, A. Etheridge, in:, D. Balding, I. Moltke, J. Marioni (Eds.), Handbook of Statistical Genomics, 4th ed., Wiley, 2019, pp. 115–144.","chicago":"Barton, Nicholas H, and Alison Etheridge. “Mathematical Models in Population Genetics.” In <i>Handbook of Statistical Genomics</i>, edited by David Balding, Ida Moltke, and John Marioni, 4th ed., 115–44. Wiley, 2019. <a href=\"https://doi.org/10.1002/9781119487845.ch4\">https://doi.org/10.1002/9781119487845.ch4</a>.","ieee":"N. H. Barton and A. Etheridge, “Mathematical models in population genetics,” in <i>Handbook of statistical genomics</i>, 4th ed., D. Balding, I. Moltke, and J. Marioni, Eds. Wiley, 2019, pp. 115–144."},"status":"public","external_id":{"isi":["000261343000003"]},"editor":[{"full_name":"Balding, David","first_name":"David","last_name":"Balding"},{"full_name":"Moltke, Ida","first_name":"Ida","last_name":"Moltke"},{"first_name":"John","last_name":"Marioni","full_name":"Marioni, John"}],"title":"Mathematical models in population genetics","author":[{"full_name":"Barton, Nicholas H","orcid":"0000-0002-8548-5240","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","last_name":"Barton"},{"first_name":"Alison","last_name":"Etheridge","full_name":"Etheridge, Alison"}],"day":"29","publication":"Handbook of statistical genomics","article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publisher":"Wiley","department":[{"_id":"NiBa"}],"doi":"10.1002/9781119487845.ch4","quality_controlled":"1","publication_identifier":{"isbn":["9781119429142"]},"isi":1,"edition":"4","language":[{"iso":"eng"}]},{"article_processing_charge":"No","publication":"EPiC Series in Computing","_id":"8570","year":"2019","department":[{"_id":"ToHe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"EasyChair","date_created":"2020-09-26T14:23:54Z","title":"ARCH-COMP19 Category Report: Continuous and hybrid systems with linear continuous dynamics","volume":61,"date_updated":"2021-01-12T08:20:05Z","day":"25","abstract":[{"text":"This report presents the results of a friendly competition for formal verification of continuous and hybrid systems with linear continuous dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2019. In its third edition, seven tools have been applied to solve six different benchmark problems in the category for linear continuous dynamics (in alphabetical order): CORA, CORA/SX, HyDRA, Hylaa, JuliaReach, SpaceEx, and XSpeed. This report is a snapshot 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 provide one of the most complete assessments of tools for the safety verification of continuous and hybrid systems with linear continuous dynamics up to this date.</jats:p>","lang":"eng"}],"type":"conference","oa_version":"Published Version","month":"05","page":"14-40","author":[{"first_name":"Matthias","last_name":"Althoff","full_name":"Althoff, Matthias"},{"full_name":"Bak, Stanley","last_name":"Bak","first_name":"Stanley"},{"full_name":"Forets, Marcelo","first_name":"Marcelo","last_name":"Forets"},{"first_name":"Goran","last_name":"Frehse","full_name":"Frehse, Goran"},{"full_name":"Kochdumper, Niklas","last_name":"Kochdumper","first_name":"Niklas"},{"last_name":"Ray","first_name":"Rajarshi","full_name":"Ray, Rajarshi"},{"last_name":"Schilling","first_name":"Christian","full_name":"Schilling, Christian","id":"3A2F4DCE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3658-1065"},{"first_name":"Stefan","last_name":"Schupp","full_name":"Schupp, Stefan"}],"language":[{"iso":"eng"}],"citation":{"ieee":"M. Althoff <i>et al.</i>, “ARCH-COMP19 Category Report: Continuous and hybrid systems with linear continuous dynamics,” in <i>EPiC Series in Computing</i>, Montreal, Canada, 2019, vol. 61, pp. 14–40.","chicago":"Althoff, Matthias, Stanley Bak, Marcelo Forets, Goran Frehse, Niklas Kochdumper, Rajarshi Ray, Christian Schilling, and Stefan Schupp. “ARCH-COMP19 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics.” In <i>EPiC Series in Computing</i>, 61:14–40. EasyChair, 2019. <a href=\"https://doi.org/10.29007/bj1w\">https://doi.org/10.29007/bj1w</a>.","short":"M. Althoff, S. Bak, M. Forets, G. Frehse, N. Kochdumper, R. Ray, C. Schilling, S. Schupp, in:, EPiC Series in Computing, EasyChair, 2019, pp. 14–40.","ama":"Althoff M, Bak S, Forets M, et al. ARCH-COMP19 Category Report: Continuous and hybrid systems with linear continuous dynamics. In: <i>EPiC Series in Computing</i>. Vol 61. EasyChair; 2019:14-40. doi:<a href=\"https://doi.org/10.29007/bj1w\">10.29007/bj1w</a>","mla":"Althoff, Matthias, et al. “ARCH-COMP19 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics.” <i>EPiC Series in Computing</i>, vol. 61, EasyChair, 2019, pp. 14–40, doi:<a href=\"https://doi.org/10.29007/bj1w\">10.29007/bj1w</a>.","ista":"Althoff M, Bak S, Forets M, Frehse G, Kochdumper N, Ray R, Schilling C, Schupp S. 2019. ARCH-COMP19 Category Report: Continuous and hybrid systems with linear continuous dynamics. EPiC Series in Computing. ARCH: International Workshop on Applied Verification on Continuous and Hybrid Systems vol. 61, 14–40.","apa":"Althoff, M., Bak, S., Forets, M., Frehse, G., Kochdumper, N., Ray, R., … Schupp, S. (2019). ARCH-COMP19 Category Report: Continuous and hybrid systems with linear continuous dynamics. In <i>EPiC Series in Computing</i> (Vol. 61, pp. 14–40). Montreal, Canada: EasyChair. <a href=\"https://doi.org/10.29007/bj1w\">https://doi.org/10.29007/bj1w</a>"},"intvolume":"        61","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"},"status":"public","main_file_link":[{"url":"https://easychair.org/publications/open/1gbP","open_access":"1"}],"quality_controlled":"1","doi":"10.29007/bj1w","date_published":"2019-05-25T00:00:00Z","oa":1,"publication_status":"published","publication_identifier":{"eissn":["23987340"]}},{"department":[{"_id":"TiBr"}],"publisher":"American Mathematical Society","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"No","scopus_import":"1","publication":"Transactions of the American Mathematical Society","day":"15","author":[{"first_name":"Timothy D","last_name":"Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D"},{"first_name":"Daniel","last_name":"Loughran","full_name":"Loughran, Daniel"}],"publist_id":"7746","arxiv":1,"title":"Sieving rational points on varieties","language":[{"iso":"eng"}],"issue":"8","isi":1,"publication_identifier":{"issn":["00029947"],"eissn":["10886850"]},"quality_controlled":"1","doi":"10.1090/tran/7514","year":"2019","_id":"175","date_updated":"2023-08-24T14:34:56Z","abstract":[{"text":"An upper bound sieve for rational points on suitable varieties isdeveloped, together with applications tocounting rational points in thin sets,to local solubility in families, and to the notion of “friable” rational pointswith respect to divisors. In the special case of quadrics, sharper estimates areobtained by developing a version of the Selberg sieve for rational points.","lang":"eng"}],"month":"04","oa_version":"Preprint","type":"journal_article","page":"5757-5785","date_created":"2018-12-11T11:45:01Z","volume":371,"status":"public","external_id":{"arxiv":["1705.01999"],"isi":["000464034200019"]},"citation":{"chicago":"Browning, Timothy D, and Daniel Loughran. “Sieving Rational Points on Varieties.” <i>Transactions of the American Mathematical Society</i>. American Mathematical Society, 2019. <a href=\"https://doi.org/10.1090/tran/7514\">https://doi.org/10.1090/tran/7514</a>.","ieee":"T. D. Browning and D. Loughran, “Sieving rational points on varieties,” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 8. American Mathematical Society, pp. 5757–5785, 2019.","short":"T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.","ama":"Browning TD, Loughran D. Sieving rational points on varieties. <i>Transactions of the American Mathematical Society</i>. 2019;371(8):5757-5785. doi:<a href=\"https://doi.org/10.1090/tran/7514\">10.1090/tran/7514</a>","apa":"Browning, T. D., &#38; Loughran, D. (2019). Sieving rational points on varieties. <i>Transactions of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/tran/7514\">https://doi.org/10.1090/tran/7514</a>","mla":"Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 8, American Mathematical Society, 2019, pp. 5757–85, doi:<a href=\"https://doi.org/10.1090/tran/7514\">10.1090/tran/7514</a>.","ista":"Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785."},"intvolume":"       371","oa":1,"publication_status":"published","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.01999"}],"date_published":"2019-04-15T00:00:00Z"},{"title":"Harmonic dynamics of the Abelian sandpile","arxiv":1,"author":[{"last_name":"Lang","first_name":"Moritz","full_name":"Lang, Moritz","id":"29E0800A-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Shkolnikov, Mikhail","id":"35084A62-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4310-178X","first_name":"Mikhail","last_name":"Shkolnikov"}],"day":"19","publication":"Proceedings of the National Academy of Sciences","article_type":"original","article_processing_charge":"No","scopus_import":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publisher":"National Academy of Sciences","department":[{"_id":"CaGu"},{"_id":"GaTk"},{"_id":"TaHa"}],"pmid":1,"doi":"10.1073/pnas.1812015116","quality_controlled":"1","publication_identifier":{"eissn":["1091-6490"]},"isi":1,"issue":"8","language":[{"iso":"eng"}],"volume":116,"date_created":"2018-12-11T11:45:08Z","page":"2821-2830","month":"02","type":"journal_article","oa_version":"Published Version","date_updated":"2023-09-11T14:09:34Z","abstract":[{"text":"The abelian sandpile serves as a model to study self-organized criticality, a phenomenon occurring in biological, physical and social processes. The identity of the abelian group is a fractal composed of self-similar patches, and its limit is subject of extensive collaborative research. Here, we analyze the evolution of the sandpile identity under harmonic fields of different orders. We show that this evolution corresponds to periodic cycles through the abelian group characterized by the smooth transformation and apparent conservation of the patches constituting the identity. The dynamics induced by second and third order harmonics resemble smooth stretchings, respectively translations, of the identity, while the ones induced by fourth order harmonics resemble magnifications and rotations. Starting with order three, the dynamics pass through extended regions of seemingly random configurations which spontaneously reassemble into accentuated patterns. We show that the space of harmonic functions projects to the extended analogue of the sandpile group, thus providing a set of universal coordinates identifying configurations between different domains. Since the original sandpile group is a subgroup of the extended one, this directly implies that it admits a natural renormalization. Furthermore, we show that the harmonic fields can be induced by simple Markov processes, and that the corresponding stochastic dynamics show remarkable robustness over hundreds of periods. Finally, we encode information into seemingly random configurations, and decode this information with an algorithm requiring minimal prior knowledge. Our results suggest that harmonic fields might split the sandpile group into sub-sets showing different critical coefficients, and that it might be possible to extend the fractal structure of the identity beyond the boundaries of its domain. ","lang":"eng"}],"_id":"196","acknowledgement":"M.L. is grateful to the members of the C Guet and G Tkacik groups for valuable comments and support. M.S. is grateful to Nikita Kalinin for inspiring communications.\r\n","year":"2019","date_published":"2019-02-19T00:00:00Z","main_file_link":[{"url":"https://doi.org/10.1073/pnas.1812015116","open_access":"1"}],"publication_status":"published","oa":1,"intvolume":"       116","related_material":{"link":[{"relation":"press_release","url":"https://ist.ac.at/en/news/famous-sandpile-model-shown-to-move-like-a-traveling-sand-dune/","description":"News on IST Webpage"}]},"citation":{"ama":"Lang M, Shkolnikov M. Harmonic dynamics of the Abelian sandpile. <i>Proceedings of the National Academy of Sciences</i>. 2019;116(8):2821-2830. doi:<a href=\"https://doi.org/10.1073/pnas.1812015116\">10.1073/pnas.1812015116</a>","mla":"Lang, Moritz, and Mikhail Shkolnikov. “Harmonic Dynamics of the Abelian Sandpile.” <i>Proceedings of the National Academy of Sciences</i>, vol. 116, no. 8, National Academy of Sciences, 2019, pp. 2821–30, doi:<a href=\"https://doi.org/10.1073/pnas.1812015116\">10.1073/pnas.1812015116</a>.","ista":"Lang M, Shkolnikov M. 2019. Harmonic dynamics of the Abelian sandpile. Proceedings of the National Academy of Sciences. 116(8), 2821–2830.","apa":"Lang, M., &#38; Shkolnikov, M. (2019). Harmonic dynamics of the Abelian sandpile. <i>Proceedings of the National Academy of Sciences</i>. National Academy of Sciences. <a href=\"https://doi.org/10.1073/pnas.1812015116\">https://doi.org/10.1073/pnas.1812015116</a>","ieee":"M. Lang and M. Shkolnikov, “Harmonic dynamics of the Abelian sandpile,” <i>Proceedings of the National Academy of Sciences</i>, vol. 116, no. 8. National Academy of Sciences, pp. 2821–2830, 2019.","chicago":"Lang, Moritz, and Mikhail Shkolnikov. “Harmonic Dynamics of the Abelian Sandpile.” <i>Proceedings of the National Academy of Sciences</i>. National Academy of Sciences, 2019. <a href=\"https://doi.org/10.1073/pnas.1812015116\">https://doi.org/10.1073/pnas.1812015116</a>.","short":"M. Lang, M. Shkolnikov, Proceedings of the National Academy of Sciences 116 (2019) 2821–2830."},"status":"public","external_id":{"isi":["000459074400013"],"arxiv":["1806.10823"],"pmid":[" 30728300"]}},{"issue":"6","language":[{"iso":"eng"}],"isi":1,"project":[{"grant_number":"742985","name":"Tracing Evolution of Auxin Transport and Polarity in Plants","call_identifier":"H2020","_id":"261099A6-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","doi":"10.3390/biom9060222","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)"},"ec_funded":1,"scopus_import":"1","article_processing_charge":"No","publication":"Biomolecules","department":[{"_id":"JiFr"}],"pmid":1,"publisher":"MDPI","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_number":"222","title":"PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton","day":"07","file":[{"file_name":"biomolecules-2019-Matous.pdf","creator":"kschuh","file_size":1066773,"relation":"main_file","content_type":"application/pdf","checksum":"1ce1bd36038fe5381057a1bcc6760083","file_id":"6625","date_updated":"2020-07-14T12:47:34Z","access_level":"open_access","date_created":"2019-07-08T15:46:32Z"}],"author":[{"orcid":"0000-0003-0619-7783","id":"1AE1EA24-02D0-11E9-9BAA-DAF4881429F2","full_name":"Glanc, Matous","first_name":"Matous","last_name":"Glanc"},{"first_name":"Matyas","last_name":"Fendrych","full_name":"Fendrych, Matyas","id":"43905548-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9767-8699"},{"id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596","full_name":"Friml, Jiří","first_name":"Jiří","last_name":"Friml"}],"citation":{"short":"M. Glanc, M. Fendrych, J. Friml, Biomolecules 9 (2019).","ieee":"M. Glanc, M. Fendrych, and J. Friml, “PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton,” <i>Biomolecules</i>, vol. 9, no. 6. MDPI, 2019.","chicago":"Glanc, Matous, Matyas Fendrych, and Jiří Friml. “PIN2 Polarity Establishment in Arabidopsis in the Absence of an Intact Cytoskeleton.” <i>Biomolecules</i>. MDPI, 2019. <a href=\"https://doi.org/10.3390/biom9060222\">https://doi.org/10.3390/biom9060222</a>.","mla":"Glanc, Matous, et al. “PIN2 Polarity Establishment in Arabidopsis in the Absence of an Intact Cytoskeleton.” <i>Biomolecules</i>, vol. 9, no. 6, 222, MDPI, 2019, doi:<a href=\"https://doi.org/10.3390/biom9060222\">10.3390/biom9060222</a>.","ista":"Glanc M, Fendrych M, Friml J. 2019. PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton. Biomolecules. 9(6), 222.","apa":"Glanc, M., Fendrych, M., &#38; Friml, J. (2019). PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton. <i>Biomolecules</i>. MDPI. <a href=\"https://doi.org/10.3390/biom9060222\">https://doi.org/10.3390/biom9060222</a>","ama":"Glanc M, Fendrych M, Friml J. PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton. <i>Biomolecules</i>. 2019;9(6). doi:<a href=\"https://doi.org/10.3390/biom9060222\">10.3390/biom9060222</a>"},"intvolume":"         9","status":"public","external_id":{"isi":["000475301500018"],"pmid":["31181636"]},"acknowledged_ssus":[{"_id":"Bio"}],"date_published":"2019-06-07T00:00:00Z","ddc":["580"],"has_accepted_license":"1","oa":1,"publication_status":"published","_id":"6611","year":"2019","date_created":"2019-07-07T21:59:21Z","file_date_updated":"2020-07-14T12:47:34Z","volume":9,"month":"06","oa_version":"Published Version","type":"journal_article","abstract":[{"lang":"eng","text":"Cell polarity is crucial for the coordinated development of all multicellular organisms. In plants, this is exemplified by the PIN-FORMED (PIN) efflux carriers of the phytohormone auxin: The polar subcellular localization of the PINs is instructive to the directional intercellular auxin transport, and thus to a plethora of auxin-regulated growth and developmental processes. Despite its importance, the regulation of PIN polar subcellular localization remains poorly understood. Here, we have employed advanced live-cell imaging techniques to study the roles of microtubules and actin microfilaments in the establishment of apical polar localization of PIN2 in the epidermis of the Arabidopsis root meristem. We report that apical PIN2 polarity requires neither intact actin microfilaments nor microtubules, suggesting that the primary spatial cue for polar PIN distribution is likely independent of cytoskeleton-guided endomembrane trafficking."}],"date_updated":"2023-08-28T12:30:24Z"},{"quality_controlled":"1","doi":"10.1007/s00205-019-01400-w","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"language":[{"iso":"eng"}],"issue":"2","isi":1,"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"title":"The choice of representative volumes in the approximation of effective properties of random materials","arxiv":1,"day":"01","file":[{"creator":"kschuh","file_size":1377659,"relation":"main_file","content_type":"application/pdf","file_name":"Springer_2019_Fischer.pdf","access_level":"open_access","date_created":"2019-07-08T15:56:47Z","checksum":"4cff75fa6addb0770991ad9c474ab404","file_id":"6626","date_updated":"2020-07-14T12:47:34Z"}],"author":[{"orcid":"0000-0002-0479-558X","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","full_name":"Fischer, Julian L","last_name":"Fischer","first_name":"Julian L"}],"scopus_import":"1","article_processing_charge":"Yes (via OA deal)","article_type":"original","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)"},"publication":"Archive for Rational Mechanics and Analysis","department":[{"_id":"JuFi"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Springer","ddc":["500"],"date_published":"2019-11-01T00:00:00Z","has_accepted_license":"1","publication_status":"published","oa":1,"citation":{"mla":"Fischer, Julian L. “The Choice of Representative Volumes in the Approximation of Effective Properties of Random Materials.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 234, no. 2, Springer, 2019, pp. 635–726, doi:<a href=\"https://doi.org/10.1007/s00205-019-01400-w\">10.1007/s00205-019-01400-w</a>.","ista":"Fischer JL. 2019. The choice of representative volumes in the approximation of effective properties of random materials. Archive for Rational Mechanics and Analysis. 234(2), 635–726.","apa":"Fischer, J. L. (2019). The choice of representative volumes in the approximation of effective properties of random materials. <i>Archive for Rational Mechanics and Analysis</i>. Springer. <a href=\"https://doi.org/10.1007/s00205-019-01400-w\">https://doi.org/10.1007/s00205-019-01400-w</a>","ama":"Fischer JL. The choice of representative volumes in the approximation of effective properties of random materials. <i>Archive for Rational Mechanics and Analysis</i>. 2019;234(2):635–726. doi:<a href=\"https://doi.org/10.1007/s00205-019-01400-w\">10.1007/s00205-019-01400-w</a>","short":"J.L. Fischer, Archive for Rational Mechanics and Analysis 234 (2019) 635–726.","ieee":"J. L. Fischer, “The choice of representative volumes in the approximation of effective properties of random materials,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 234, no. 2. Springer, pp. 635–726, 2019.","chicago":"Fischer, Julian L. “The Choice of Representative Volumes in the Approximation of Effective Properties of Random Materials.” <i>Archive for Rational Mechanics and Analysis</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00205-019-01400-w\">https://doi.org/10.1007/s00205-019-01400-w</a>."},"intvolume":"       234","external_id":{"arxiv":["1807.00834"],"isi":["000482386000006"]},"status":"public","date_created":"2019-07-07T21:59:23Z","file_date_updated":"2020-07-14T12:47:34Z","volume":234,"date_updated":"2023-08-28T12:31:21Z","abstract":[{"text":"The effective large-scale properties of materials with random heterogeneities on a small scale are typically determined by the method of representative volumes: a sample of the random material is chosen—the representative volume—and its effective properties are computed by the cell formula. Intuitively, for a fixed sample size it should be possible to increase the accuracy of the method by choosing a material sample which captures the statistical properties of the material particularly well; for example, for a composite material consisting of two constituents, one would select a representative volume in which the volume fraction of the constituents matches closely with their volume fraction in the overall material. Inspired by similar attempts in materials science, Le Bris, Legoll and Minvielle have designed a selection approach for representative volumes which performs remarkably well in numerical examples of linear materials with moderate contrast. In the present work, we provide a rigorous analysis of this selection approach for representative volumes in the context of stochastic homogenization of linear elliptic equations. In particular, we prove that the method essentially never performs worse than a random selection of the material sample and may perform much better if the selection criterion for the material samples is chosen suitably.","lang":"eng"}],"oa_version":"Published Version","type":"journal_article","month":"11","page":"635–726","_id":"6617","year":"2019"}]