[{"date_published":"2019-06-22T00:00:00Z","publisher":"Dryad","date_created":"2021-08-09T13:07:28Z","month":"06","status":"public","citation":{"apa":"Polechova, J. (2019). Data from: Is the sky the limit? On the expansion threshold of a species’ range. Dryad. https://doi.org/10.5061/dryad.5vv37","mla":"Polechova, Jitka. Data from: Is the Sky the Limit? On the Expansion Threshold of a Species’ Range. Dryad, 2019, doi:10.5061/dryad.5vv37.","ama":"Polechova J. Data from: Is the sky the limit? On the expansion threshold of a species’ range. 2019. doi:10.5061/dryad.5vv37","ieee":"J. Polechova, “Data from: Is the sky the limit? On the expansion threshold of a species’ range.” Dryad, 2019.","short":"J. Polechova, (2019).","chicago":"Polechova, Jitka. “Data from: Is the Sky the Limit? On the Expansion Threshold of a Species’ Range.” Dryad, 2019. https://doi.org/10.5061/dryad.5vv37.","ista":"Polechova J. 2019. Data from: Is the sky the limit? On the expansion threshold of a species’ range, Dryad, 10.5061/dryad.5vv37."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.5061/dryad.5vv37"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","author":[{"id":"3BBFB084-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0951-3112","full_name":"Polechova, Jitka","first_name":"Jitka","last_name":"Polechova"}],"article_processing_charge":"No","type":"research_data_reference","date_updated":"2023-02-23T11:14:30Z","oa_version":"Published Version","day":"22","year":"2019","title":"Data from: Is the sky the limit? On the expansion threshold of a species' range","related_material":{"record":[{"status":"public","relation":"used_in_publication","id":"315"}]},"doi":"10.5061/dryad.5vv37","oa":1,"department":[{"_id":"NiBa"}],"_id":"9839","abstract":[{"text":"More than 100 years after Grigg’s influential analysis of species’ borders, the causes of limits to species’ ranges still represent a puzzle that has never been understood with clarity. The topic has become especially important recently as many scientists have become interested in the potential for species’ ranges to shift in response to climate change—and yet nearly all of those studies fail to recognise or incorporate evolutionary genetics in a way that relates to theoretical developments. I show that range margins can be understood based on just two measurable parameters: (i) the fitness cost of dispersal—a measure of environmental heterogeneity—and (ii) the strength of genetic drift, which reduces genetic diversity. Together, these two parameters define an ‘expansion threshold’: adaptation fails when genetic drift reduces genetic diversity below that required for adaptation to a heterogeneous environment. When the key parameters drop below this expansion threshold locally, a sharp range margin forms. When they drop below this threshold throughout the species’ range, adaptation collapses everywhere, resulting in either extinction or formation of a fragmented metapopulation. Because the effects of dispersal differ fundamentally with dimension, the second parameter—the strength of genetic drift—is qualitatively different compared to a linear habitat. In two-dimensional habitats, genetic drift becomes effectively independent of selection. It decreases with ‘neighbourhood size’—the number of individuals accessible by dispersal within one generation. Moreover, in contrast to earlier predictions, which neglected evolution of genetic variance and/or stochasticity in two dimensions, dispersal into small marginal populations aids adaptation. This is because the reduction of both genetic and demographic stochasticity has a stronger effect than the cost of dispersal through increased maladaptation. The expansion threshold thus provides a novel, theoretically justified, and testable prediction for formation of the range margin and collapse of the species’ range.","lang":"eng"}]},{"month":"09","date_created":"2021-08-11T14:26:40Z","status":"public","publisher":"Springer Nature","date_published":"2019-09-12T00:00:00Z","abstract":[{"lang":"eng","text":"Distribution of OGs with mosaic phyletic patterns across species (complete genomes only). (CSV 7 kb)"}],"title":"Additional file 15 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction","_id":"9890","department":[{"_id":"FyKo"}],"related_material":{"record":[{"id":"6898","relation":"used_in_publication","status":"public"}]},"oa":1,"doi":"10.6084/m9.figshare.9808802.v1","oa_version":"Published Version","date_updated":"2023-08-30T06:20:21Z","type":"research_data_reference","year":"2019","day":"12","citation":{"apa":"Sigalova, O. M., Chaplin, A. V., Bochkareva, O., Shelyakin, P. V., Filaretov, V. A., Akkuratov, E. E., … Gelfand, M. S. (2019). Additional file 15 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction. Springer Nature. https://doi.org/10.6084/m9.figshare.9808802.v1","mla":"Sigalova, Olga M., et al. Additional File 15 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction. 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Chaplin, Olga Bochkareva, Pavel V. Shelyakin, Vsevolod A. Filaretov, Evgeny E. Akkuratov, Valentina Burskaia, and Mikhail S. Gelfand. “Additional File 15 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction.” Springer Nature, 2019. https://doi.org/10.6084/m9.figshare.9808802.v1."},"main_file_link":[{"url":"https://doi.org/10.6084/m9.figshare.9808802.v1","open_access":"1"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","author":[{"first_name":"Olga M.","last_name":"Sigalova","full_name":"Sigalova, Olga M."},{"full_name":"Chaplin, Andrei V.","last_name":"Chaplin","first_name":"Andrei V."},{"id":"C4558D3C-6102-11E9-A62E-F418E6697425","orcid":"0000-0003-1006-6639","full_name":"Bochkareva, Olga","first_name":"Olga","last_name":"Bochkareva"},{"first_name":"Pavel V.","last_name":"Shelyakin","full_name":"Shelyakin, Pavel V."},{"full_name":"Filaretov, Vsevolod A.","first_name":"Vsevolod A.","last_name":"Filaretov"},{"full_name":"Akkuratov, Evgeny E.","first_name":"Evgeny E.","last_name":"Akkuratov"},{"full_name":"Burskaia, Valentina","last_name":"Burskaia","first_name":"Valentina"},{"first_name":"Mikhail S.","last_name":"Gelfand","full_name":"Gelfand, Mikhail S."}],"article_processing_charge":"No"},{"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","author":[{"full_name":"Sigalova, Olga M.","first_name":"Olga M.","last_name":"Sigalova"},{"full_name":"Chaplin, Andrei V","first_name":"Andrei V","last_name":"Chaplin"},{"id":"C4558D3C-6102-11E9-A62E-F418E6697425","full_name":"Bochkareva, Olga","orcid":"0000-0003-1006-6639","last_name":"Bochkareva","first_name":"Olga"},{"last_name":"Shelyakin","first_name":"Pavel V.","full_name":"Shelyakin, Pavel V."},{"first_name":"Vsevolod A.","last_name":"Filaretov","full_name":"Filaretov, Vsevolod A."},{"full_name":"Akkuratov, Evgeny E.","last_name":"Akkuratov","first_name":"Evgeny E."},{"first_name":"Valentina","last_name":"Burskaia","full_name":"Burskaia, Valentina"},{"full_name":"Gelfand, Mikhail S.","first_name":"Mikhail S.","last_name":"Gelfand"}],"article_processing_charge":"No","main_file_link":[{"open_access":"1","url":"https://doi.org/10.6084/m9.figshare.9808814.v1"}],"citation":{"ista":"Sigalova OM, Chaplin AV, Bochkareva O, Shelyakin PV, Filaretov VA, Akkuratov EE, Burskaia V, Gelfand MS. 2019. 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Sigalova, A.V. Chaplin, O. Bochkareva, P.V. Shelyakin, V.A. Filaretov, E.E. Akkuratov, V. Burskaia, M.S. Gelfand, (2019).","chicago":"Sigalova, Olga M., Andrei V. Chaplin, Olga Bochkareva, Pavel V. Shelyakin, Vsevolod A. Filaretov, Evgeny E. Akkuratov, Valentina Burskaia, and Mikhail S. Gelfand. “Additional File 18 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction.” Springer Nature, 2019. https://doi.org/10.6084/m9.figshare.9808826.v1.","ista":"Sigalova OM, Chaplin AV, Bochkareva O, Shelyakin PV, Filaretov VA, Akkuratov EE, Burskaia V, Gelfand MS. 2019. Additional file 18 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction, Springer Nature, 10.6084/m9.figshare.9808826.v1.","ieee":"O. M. 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Gelfand, (2019).","ista":"Sigalova OM, Chaplin AV, Bochkareva O, Shelyakin PV, Filaretov VA, Akkuratov EE, Burskaia V, Gelfand MS. 2019. Additional file 19 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction, Springer Nature, 10.6084/m9.figshare.9808835.v1.","ama":"Sigalova OM, Chaplin AV, Bochkareva O, et al. Additional file 19 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction. 2019. doi:10.6084/m9.figshare.9808835.v1","ieee":"O. M. Sigalova et al., “Additional file 19 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction.” Springer Nature, 2019.","apa":"Sigalova, O. M., Chaplin, A. V., Bochkareva, O., Shelyakin, P. V., Filaretov, V. A., Akkuratov, E. E., … Gelfand, M. S. (2019). 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Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. 2019;5. doi:10.1007/s40993-018-0146-6","ieee":"S. Ionica et al., “Modular invariants for genus 3 hyperelliptic curves,” Research in Number Theory, 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.” Research in Number Theory. Springer Nature, 2019. https://doi.org/10.1007/s40993-018-0146-6.","short":"S. Ionica, P. Kılıçer, K. Lauter, E. Lorenzo García, M.-A. Manzateanu, M. Massierer, C. Vincent, Research in Number Theory 5 (2019).","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.","mla":"Ionica, Sorina, et al. “Modular Invariants for Genus 3 Hyperelliptic Curves.” Research in Number Theory, vol. 5, 9, Springer Nature, 2019, doi:10.1007/s40993-018-0146-6.","apa":"Ionica, S., Kılıçer, P., Lauter, K., Lorenzo García, E., Manzateanu, M.-A., Massierer, M., & Vincent, C. (2019). Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. 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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."}],"publication_status":"published","title":"Modular invariants for genus 3 hyperelliptic curves","publication":"Research in Number Theory","_id":"10874","oa":1,"article_type":"original","publisher":"Springer Nature","volume":5,"month":"01","date_created":"2022-03-18T12:09:48Z","article_number":"9","status":"public","intvolume":" 5","oa_version":"Preprint","type":"journal_article","date_updated":"2023-09-05T15:39:31Z","day":"02","article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","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. ","department":[{"_id":"TiBr"}],"doi":"10.1007/s40993-018-0146-6","language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory"],"external_id":{"arxiv":["1807.08986"]},"date_published":"2019-01-02T00:00:00Z","arxiv":1,"scopus_import":"1","publication_identifier":{"eissn":["2363-9555"],"issn":["2522-0160"]}},{"conference":{"end_date":"2019-04-15","name":"ARCH: International Workshop on Applied Verification on Continuous and Hybrid Systems","location":"Montreal, Canada","start_date":"2019-04-15"},"month":"05","date_created":"2022-03-18T12:29:23Z","status":"public","intvolume":" 61","file_date_updated":"2022-05-17T06:55:49Z","editor":[{"first_name":"Goran","last_name":"Frehse","full_name":"Frehse, Goran"},{"first_name":"Matthias","last_name":"Althoff","full_name":"Althoff, Matthias"}],"publisher":"EasyChair","volume":61,"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"}],"publication_status":"published","publication":"ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems","title":"ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics","_id":"10877","ddc":["000"],"oa":1,"year":"2019","citation":{"apa":"Frehse, G., Abate, A., Adzkiya, D., Becchi, A., Bu, L., Cimatti, A., … Zaffanella, E. (2019). ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics. In G. Frehse & M. Althoff (Eds.), ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems (Vol. 61, pp. 1–13). Montreal, Canada: EasyChair. https://doi.org/10.29007/rjwn","mla":"Frehse, Goran, et al. “ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics.” ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems, edited by Goran Frehse and Matthias Althoff, vol. 61, EasyChair, 2019, pp. 1–13, doi:10.29007/rjwn.","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.","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.","chicago":"Frehse, Goran, Alessandro Abate, Dieky Adzkiya, Anna Becchi, Lei Bu, Alessandro Cimatti, Mirco Giacobbe, et al. “ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics.” In ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems, edited by Goran Frehse and Matthias Althoff, 61:1–13. EasyChair, 2019. https://doi.org/10.29007/rjwn.","ama":"Frehse G, Abate A, Adzkiya D, et al. ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics. In: Frehse G, Althoff M, eds. ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems. Vol 61. EasyChair; 2019:1-13. doi:10.29007/rjwn","ieee":"G. Frehse et al., “ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics,” in ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems, Montreal, Canada, 2019, vol. 61, pp. 1–13."},"author":[{"full_name":"Frehse, Goran","first_name":"Goran","last_name":"Frehse"},{"first_name":"Alessandro","last_name":"Abate","full_name":"Abate, Alessandro"},{"full_name":"Adzkiya, Dieky","last_name":"Adzkiya","first_name":"Dieky"},{"full_name":"Becchi, Anna","first_name":"Anna","last_name":"Becchi"},{"full_name":"Bu, Lei","first_name":"Lei","last_name":"Bu"},{"full_name":"Cimatti, Alessandro","first_name":"Alessandro","last_name":"Cimatti"},{"last_name":"Giacobbe","first_name":"Mirco","full_name":"Giacobbe, Mirco","orcid":"0000-0001-8180-0904","id":"3444EA5E-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Griggio, Alberto","last_name":"Griggio","first_name":"Alberto"},{"first_name":"Sergio","last_name":"Mover","full_name":"Mover, Sergio"},{"first_name":"Muhammad Syifa'ul","last_name":"Mufid","full_name":"Mufid, Muhammad Syifa'ul"},{"last_name":"Riouak","first_name":"Idriss","full_name":"Riouak, Idriss"},{"full_name":"Tonetta, Stefano","first_name":"Stefano","last_name":"Tonetta"},{"first_name":"Enea","last_name":"Zaffanella","full_name":"Zaffanella, Enea"}],"quality_controlled":"1","alternative_title":["EPiC Series in Computing"],"scopus_import":"1","publication_identifier":{"issn":["2398-7340"]},"file":[{"file_name":"2019_EPiCs_Frehse.pdf","checksum":"4b92e333db7b4e2349501a804dfede69","access_level":"open_access","success":1,"file_id":"11391","date_updated":"2022-05-17T06:55:49Z","content_type":"application/pdf","creator":"dernst","file_size":346415,"relation":"main_file","date_created":"2022-05-17T06:55:49Z"}],"date_published":"2019-05-25T00:00:00Z","page":"1-13","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).","department":[{"_id":"ToHe"}],"has_accepted_license":"1","doi":"10.29007/rjwn","language":[{"iso":"eng"}],"oa_version":"Published Version","date_updated":"2022-05-17T07:09:47Z","type":"conference","day":"25","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No"},{"publication":"Discrete and Continuous Dynamical Systems","title":"A mean-field model with discontinuous coefficients for neurons with spatial interaction","oa":1,"_id":"10878","project":[{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"publication_status":"published","abstract":[{"text":"Starting from a microscopic model for a system of neurons evolving in time which individually follow a stochastic integrate-and-fire type model, we study a mean-field limit of the system. Our model is described by a system of SDEs with discontinuous coefficients for the action potential of each neuron and takes into account the (random) spatial configuration of neurons allowing the interaction to depend on it. In the limit as the number of particles tends to infinity, we obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only with respect to one variable and discontinuous coefficients. We also study strong well-posedness of the system of SDEs and prove the existence and uniqueness of a weak measure-valued solution to the PDE, obtained as the limit of the laws of the empirical measures for the system of particles.","lang":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1708.04156","open_access":"1"}],"citation":{"ieee":"F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous coefficients for neurons with spatial interaction,” Discrete and Continuous Dynamical Systems, vol. 39, no. 6. American Institute of Mathematical Sciences, pp. 3037–3067, 2019.","ama":"Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. 2019;39(6):3037-3067. doi:10.3934/dcds.2019126","short":"F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067.","chicago":"Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences, 2019. https://doi.org/10.3934/dcds.2019126.","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.” Discrete and Continuous Dynamical Systems, vol. 39, no. 6, American Institute of Mathematical Sciences, 2019, pp. 3037–67, doi:10.3934/dcds.2019126.","apa":"Flandoli, F., Priola, E., & Zanco, G. A. (2019). A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. American Institute of Mathematical Sciences. https://doi.org/10.3934/dcds.2019126"},"author":[{"first_name":"Franco","last_name":"Flandoli","full_name":"Flandoli, Franco"},{"full_name":"Priola, Enrico","last_name":"Priola","first_name":"Enrico"},{"id":"47491882-F248-11E8-B48F-1D18A9856A87","full_name":"Zanco, Giovanni A","last_name":"Zanco","first_name":"Giovanni A"}],"quality_controlled":"1","year":"2019","intvolume":" 39","isi":1,"date_created":"2022-03-18T12:33:34Z","month":"06","status":"public","issue":"6","volume":39,"article_type":"original","publisher":"American Institute of Mathematical Sciences","language":[{"iso":"eng"}],"doi":"10.3934/dcds.2019126","department":[{"_id":"JaMa"}],"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.","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"No","type":"journal_article","date_updated":"2023-09-08T11:34:45Z","oa_version":"Preprint","day":"01","publication_identifier":{"issn":["1553-5231"]},"scopus_import":"1","arxiv":1,"date_published":"2019-06-01T00:00:00Z","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics","Analysis"],"external_id":{"arxiv":["1708.04156"],"isi":["000459954800003"]},"page":"3037-3067"},{"oa_version":"Preprint","date_updated":"2023-09-08T11:35:31Z","type":"journal_article","day":"01","article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","acknowledgement":"M.G. was supported by the DFG under grant GE 2871/1-1.","department":[{"_id":"LaEr"}],"language":[{"iso":"eng"}],"doi":"10.4171/jst/267","keyword":["Random Schrödinger operators","spectral shift function","Anderson orthogonality"],"external_id":{"arxiv":["1701.02956"],"isi":["000484709400006"]},"date_published":"2019-03-01T00:00:00Z","page":"921-965","arxiv":1,"scopus_import":"1","publication_identifier":{"issn":["1664-039X"]},"year":"2019","citation":{"mla":"Dietlein, Adrian M., et al. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” Journal of Spectral Theory, vol. 9, no. 3, European Mathematical Society Publishing House, 2019, pp. 921–65, doi:10.4171/jst/267.","apa":"Dietlein, A. M., Gebert, M., & Müller, P. (2019). Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. European Mathematical Society Publishing House. https://doi.org/10.4171/jst/267","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.","chicago":"Dietlein, Adrian M, Martin Gebert, and Peter Müller. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” Journal of Spectral Theory. European Mathematical Society Publishing House, 2019. https://doi.org/10.4171/jst/267.","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,” Journal of Spectral Theory, vol. 9, no. 3. European Mathematical Society Publishing House, pp. 921–965, 2019.","ama":"Dietlein AM, Gebert M, Müller P. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. 2019;9(3):921-965. doi:10.4171/jst/267"},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1701.02956"}],"author":[{"full_name":"Dietlein, Adrian M","id":"317CB464-F248-11E8-B48F-1D18A9856A87","last_name":"Dietlein","first_name":"Adrian M"},{"first_name":"Martin","last_name":"Gebert","full_name":"Gebert, Martin"},{"full_name":"Müller, Peter","first_name":"Peter","last_name":"Müller"}],"quality_controlled":"1","abstract":[{"text":"We study effects of a bounded and compactly supported perturbation on multidimensional continuum random Schrödinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schrödinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015), 560–565]. The spectral shift function plays an important role in our analysis of Anderson orthogonality. We identify it with the index of the corresponding pair of spectral projections and explore the consequences thereof. All our results rely on the main technical estimate of this paper which guarantees separate exponential decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b. Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication operator corresponding to the indicator function of a unit cube centred about a∈Rd, and f is in a suitable class of functions of bounded variation with distributional derivative supported in the region of complete localisation for H.","lang":"eng"}],"publication_status":"published","publication":"Journal of Spectral Theory","title":"Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function","_id":"10879","oa":1,"article_type":"original","publisher":"European Mathematical Society Publishing House","issue":"3","volume":9,"month":"03","date_created":"2022-03-18T12:36:42Z","status":"public","intvolume":" 9","isi":1},{"publisher":"Austrian Pharmacological Society","volume":7,"issue":"Suppl. 1","month":"09","conference":{"location":"Innsbruck, Austria","start_date":"2019-09-25","end_date":"2019-09-27","name":"ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological Society"},"date_created":"2022-04-20T15:06:05Z","article_number":"A3.27","status":"public","intvolume":" 7","year":"2019","citation":{"ama":"Kim O, Borges Merjane C, Jonas PM. Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. In: Intrinsic Activity. Vol 7. Austrian Pharmacological Society; 2019. doi:10.25006/ia.7.s1-a3.27","ieee":"O. Kim, C. Borges Merjane, and P. M. Jonas, “Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy,” in Intrinsic Activity, Innsbruck, Austria, 2019, vol. 7, no. Suppl. 1.","ista":"Kim O, Borges Merjane C, Jonas PM. 2019. Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. Intrinsic Activity. ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological Society vol. 7, A3.27.","short":"O. Kim, C. Borges Merjane, P.M. Jonas, in:, Intrinsic Activity, Austrian Pharmacological Society, 2019.","chicago":"Kim, Olena, Carolina Borges Merjane, and Peter M Jonas. “Functional Analysis of the Docked Vesicle Pool in Hippocampal Mossy Fiber Terminals by Electron Microscopy.” In Intrinsic Activity, Vol. 7. Austrian Pharmacological Society, 2019. https://doi.org/10.25006/ia.7.s1-a3.27.","mla":"Kim, Olena, et al. “Functional Analysis of the Docked Vesicle Pool in Hippocampal Mossy Fiber Terminals by Electron Microscopy.” Intrinsic Activity, vol. 7, no. Suppl. 1, A3.27, Austrian Pharmacological Society, 2019, doi:10.25006/ia.7.s1-a3.27.","apa":"Kim, O., Borges Merjane, C., & Jonas, P. M. (2019). Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. In Intrinsic Activity (Vol. 7). Innsbruck, Austria: Austrian Pharmacological Society. https://doi.org/10.25006/ia.7.s1-a3.27"},"main_file_link":[{"open_access":"1","url":"https://www.intrinsicactivity.org/2019/7/S1/A3.27/"}],"author":[{"full_name":"Kim, Olena","id":"3F8ABDDA-F248-11E8-B48F-1D18A9856A87","first_name":"Olena","last_name":"Kim"},{"id":"4305C450-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0005-401X","full_name":"Borges Merjane, Carolina","last_name":"Borges Merjane","first_name":"Carolina"},{"last_name":"Jonas","first_name":"Peter M","id":"353C1B58-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5001-4804","full_name":"Jonas, Peter M"}],"quality_controlled":"1","project":[{"_id":"25B7EB9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"692692","name":"Biophysics and circuit function of a giant cortical glumatergic synapse"},{"grant_number":"708497","name":"Presynaptic calcium channels distribution and impact on coupling at the hippocampal mossy fiber synapse","call_identifier":"H2020","_id":"25BAF7B2-B435-11E9-9278-68D0E5697425"},{"_id":"25C3DBB6-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"W01205","name":"Zellkommunikation in Gesundheit und Krankheit"},{"call_identifier":"FWF","_id":"25C5A090-B435-11E9-9278-68D0E5697425","grant_number":"Z00312","name":"The Wittgenstein Prize"}],"publication_status":"published","publication":"Intrinsic Activity","title":"Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy","_id":"11222","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"11196"}]},"oa":1,"keyword":["hippocampus","mossy fibers","readily releasable pool","electron microscopy"],"date_published":"2019-09-11T00:00:00Z","publication_identifier":{"issn":["2309-8503"]},"oa_version":"Published Version","type":"conference_abstract","date_updated":"2024-03-25T23:30:04Z","day":"11","article_processing_charge":"No","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","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).","ec_funded":1,"department":[{"_id":"PeJo"}],"doi":"10.25006/ia.7.s1-a3.27","language":[{"iso":"eng"}]},{"status":"public","month":"04","date_created":"2018-12-11T11:44:14Z","isi":1,"intvolume":" 149","article_type":"review","publisher":"Wiley","file_date_updated":"2020-07-14T12:45:45Z","issue":"1","volume":149,"abstract":[{"text":"The cerebral cortex is composed of a large variety of distinct cell-types including projection neurons, interneurons and glial cells which emerge from distinct neural stem cell (NSC) lineages. The vast majority of cortical projection neurons and certain classes of glial cells are generated by radial glial progenitor cells (RGPs) in a highly orchestrated manner. Recent studies employing single cell analysis and clonal lineage tracing suggest that NSC and RGP lineage progression are regulated in a profound deterministic manner. In this review we focus on recent advances based mainly on correlative phenotypic data emerging from functional genetic studies in mice. We establish hypotheses to test in future research and outline a conceptual framework how epigenetic cues modulate the generation of cell-type diversity during cortical development. This article is protected by copyright. All rights reserved.","lang":"eng"}],"publication_status":"published","project":[{"_id":"25D92700-B435-11E9-9278-68D0E5697425","name":"Mapping Cell-Type Specificity of the Genomic Imprintome in the Brain","grant_number":"LS13-002"},{"name":"Quantitative Structure-Function Analysis of Cerebral Cortex Assembly at Clonal Level","grant_number":"RGP0053/2014","_id":"25D7962E-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FP7","_id":"25D61E48-B435-11E9-9278-68D0E5697425","name":"Molecular Mechanisms of Cerebral Cortex Development","grant_number":"618444"},{"call_identifier":"H2020","_id":"260018B0-B435-11E9-9278-68D0E5697425","name":"Principles of Neural Stem Cell Lineage Progression in Cerebral Cortex Development","grant_number":"725780"}],"_id":"27","oa":1,"ddc":["570"],"title":"Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex","publication":"Journal of Neurochemistry","year":"2019","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"author":[{"first_name":"Nicole","last_name":"Amberg","id":"4CD6AAC6-F248-11E8-B48F-1D18A9856A87","full_name":"Amberg, Nicole","orcid":"0000-0002-3183-8207"},{"first_name":"Susanne","last_name":"Laukoter","id":"2D6B7A9A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7903-3010","full_name":"Laukoter, Susanne"},{"last_name":"Hippenmeyer","first_name":"Simon","id":"37B36620-F248-11E8-B48F-1D18A9856A87","full_name":"Hippenmeyer, Simon","orcid":"0000-0003-2279-1061"}],"quality_controlled":"1","citation":{"ama":"Amberg N, Laukoter S, Hippenmeyer S. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry. 2019;149(1):12-26. doi:10.1111/jnc.14601","ieee":"N. Amberg, S. Laukoter, and S. Hippenmeyer, “Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex,” Journal of Neurochemistry, vol. 149, no. 1. Wiley, pp. 12–26, 2019.","ista":"Amberg N, Laukoter S, Hippenmeyer S. 2019. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry. 149(1), 12–26.","chicago":"Amberg, Nicole, Susanne Laukoter, and Simon Hippenmeyer. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” Journal of Neurochemistry. Wiley, 2019. https://doi.org/10.1111/jnc.14601.","short":"N. Amberg, S. Laukoter, S. Hippenmeyer, Journal of Neurochemistry 149 (2019) 12–26.","mla":"Amberg, Nicole, et al. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” Journal of Neurochemistry, vol. 149, no. 1, Wiley, 2019, pp. 12–26, doi:10.1111/jnc.14601.","apa":"Amberg, N., Laukoter, S., & Hippenmeyer, S. (2019). Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry. Wiley. https://doi.org/10.1111/jnc.14601"},"scopus_import":"1","page":"12-26","file":[{"date_updated":"2020-07-14T12:45:45Z","file_id":"7239","access_level":"open_access","checksum":"db027721a95d36f5de36aadcd0bdf7e6","file_name":"2019_Wiley_Amberg.pdf","date_created":"2020-01-07T13:35:52Z","relation":"main_file","file_size":889709,"creator":"kschuh","content_type":"application/pdf"}],"external_id":{"isi":["000462680200002"]},"date_published":"2019-04-01T00:00:00Z","acknowledgement":" This work was supported by IST Austria institutional funds; NÖ Forschung und Bildung \r\nn[f+b] (C13-002) to SH; a program grant from the Human Frontiers Science Program (RGP0053/2014) to SH; the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement No 618444 to SH, and the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 725780 LinPro)to SH.\r\n","has_accepted_license":"1","department":[{"_id":"SiHi"}],"language":[{"iso":"eng"}],"doi":"10.1111/jnc.14601","ec_funded":1,"day":"01","oa_version":"Published Version","type":"journal_article","date_updated":"2023-09-11T13:40:26Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"Yes (via OA deal)"},{"external_id":{"arxiv":["1611.04177"],"isi":["000458945300012"]},"date_published":"2019-03-01T00:00:00Z","page":"995-1012","arxiv":1,"scopus_import":"1","oa_version":"Preprint","date_updated":"2023-08-24T14:20:49Z","type":"journal_article","day":"01","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_processing_charge":"No","department":[{"_id":"JaMa"}],"doi":"10.1016/j.spa.2018.04.003","language":[{"iso":"eng"}],"article_type":"original","publisher":"Elsevier","issue":"3","volume":129,"month":"03","date_created":"2018-12-11T11:45:42Z","status":"public","intvolume":" 129","isi":1,"year":"2019","citation":{"ista":"Gerencser M, Gyöngy I. 2019. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 129(3), 995–1012.","short":"M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012.","chicago":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” Stochastic Processes and Their Applications. Elsevier, 2019. https://doi.org/10.1016/j.spa.2018.04.003.","ama":"Gerencser M, Gyöngy I. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 2019;129(3):995-1012. doi:10.1016/j.spa.2018.04.003","ieee":"M. Gerencser and I. Gyöngy, “A Feynman–Kac formula for stochastic Dirichlet problems,” Stochastic Processes and their Applications, vol. 129, no. 3. Elsevier, pp. 995–1012, 2019.","apa":"Gerencser, M., & Gyöngy, I. (2019). A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2018.04.003","mla":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” Stochastic Processes and Their Applications, vol. 129, no. 3, Elsevier, 2019, pp. 995–1012, doi:10.1016/j.spa.2018.04.003."},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1611.04177"}],"quality_controlled":"1","author":[{"id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","full_name":"Gerencser, Mate","first_name":"Mate","last_name":"Gerencser"},{"last_name":"Gyöngy","first_name":"István","full_name":"Gyöngy, István"}],"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."}],"publication_status":"published","publication":"Stochastic Processes and their Applications","title":"A Feynman–Kac formula for stochastic Dirichlet problems","_id":"301","oa":1},{"title":"Singular SPDEs in domains with boundaries","publication":"Probability Theory and Related Fields","oa":1,"ddc":["510"],"_id":"319","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"publication_status":"published","abstract":[{"text":"We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition.","lang":"eng"}],"citation":{"chicago":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” Probability Theory and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0841-1.","short":"M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758.","ista":"Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 173(3–4), 697–758.","ieee":"M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” Probability Theory and Related Fields, vol. 173, no. 3–4. Springer, pp. 697–758, 2019.","ama":"Gerencser M, Hairer M. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 2019;173(3-4):697–758. doi:10.1007/s00440-018-0841-1","mla":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” Probability Theory and Related Fields, vol. 173, no. 3–4, Springer, 2019, pp. 697–758, doi:10.1007/s00440-018-0841-1.","apa":"Gerencser, M., & Hairer, M. (2019). Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-018-0841-1"},"quality_controlled":"1","author":[{"last_name":"Gerencser","first_name":"Mate","full_name":"Gerencser, Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Hairer, Martin","first_name":"Martin","last_name":"Hairer"}],"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2019","intvolume":" 173","publist_id":"7546","isi":1,"date_created":"2018-12-11T11:45:48Z","month":"04","status":"public","volume":173,"issue":"3-4","file_date_updated":"2020-07-14T12:46:03Z","publisher":"Springer","article_type":"original","language":[{"iso":"eng"}],"doi":"10.1007/s00440-018-0841-1","has_accepted_license":"1","department":[{"_id":"JaMa"}],"acknowledgement":"MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n","article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","type":"journal_article","date_updated":"2023-08-24T14:38:32Z","oa_version":"Published Version","day":"01","publication_identifier":{"issn":["01788051"],"eissn":["14322064"]},"scopus_import":"1","date_published":"2019-04-01T00:00:00Z","file":[{"relation":"main_file","date_created":"2018-12-17T16:25:24Z","file_size":893182,"content_type":"application/pdf","creator":"dernst","file_id":"5722","date_updated":"2020-07-14T12:46:03Z","checksum":"288d16ef7291242f485a9660979486e3","file_name":"2018_ProbTheory_Gerencser.pdf","access_level":"open_access"}],"external_id":{"isi":["000463613800001"]},"page":"697–758"}]