[{"article_processing_charge":"No","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"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","publisher":"Dryad","type":"research_data_reference","oa":1,"title":"Data from: Is the sky the limit? On the expansion threshold of a species' range","date_published":"2019-06-22T00:00:00Z","day":"22","doi":"10.5061/dryad.5vv37","main_file_link":[{"open_access":"1","url":"https://doi.org/10.5061/dryad.5vv37"}],"year":"2019","_id":"9839","related_material":{"record":[{"relation":"used_in_publication","status":"public","id":"315"}]},"citation":{"ista":"Polechova J. 2019. Data from: Is the sky the limit? On the expansion threshold of a species’ range, Dryad, <a href=\"https://doi.org/10.5061/dryad.5vv37\">10.5061/dryad.5vv37</a>.","apa":"Polechova, J. (2019). Data from: Is the sky the limit? On the expansion threshold of a species’ range. Dryad. <a href=\"https://doi.org/10.5061/dryad.5vv37\">https://doi.org/10.5061/dryad.5vv37</a>","ama":"Polechova J. Data from: Is the sky the limit? On the expansion threshold of a species’ range. 2019. doi:<a href=\"https://doi.org/10.5061/dryad.5vv37\">10.5061/dryad.5vv37</a>","ieee":"J. Polechova, “Data from: Is the sky the limit? On the expansion threshold of a species’ range.” Dryad, 2019.","short":"J. Polechova, (2019).","mla":"Polechova, Jitka. <i>Data from: Is the Sky the Limit? On the Expansion Threshold of a Species’ Range</i>. Dryad, 2019, doi:<a href=\"https://doi.org/10.5061/dryad.5vv37\">10.5061/dryad.5vv37</a>.","chicago":"Polechova, Jitka. “Data from: Is the Sky the Limit? On the Expansion Threshold of a Species’ Range.” Dryad, 2019. <a href=\"https://doi.org/10.5061/dryad.5vv37\">https://doi.org/10.5061/dryad.5vv37</a>."},"month":"06","author":[{"full_name":"Polechova, Jitka","last_name":"Polechova","orcid":"0000-0003-0951-3112","id":"3BBFB084-F248-11E8-B48F-1D18A9856A87","first_name":"Jitka"}],"status":"public","date_updated":"2023-02-23T11:14:30Z","date_created":"2021-08-09T13:07:28Z","oa_version":"Published Version","department":[{"_id":"NiBa"}]},{"type":"research_data_reference","abstract":[{"lang":"eng","text":"Distribution of OGs with mosaic phyletic patterns across species (complete genomes only). 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Sigalova <i>et al.</i>, “Additional file 15 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction.” Springer Nature, 2019.","mla":"Sigalova, Olga M., et al. <i>Additional File 15 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction</i>. Springer Nature, 2019, doi:<a href=\"https://doi.org/10.6084/m9.figshare.9808802.v1\">10.6084/m9.figshare.9808802.v1</a>.","short":"O.M. 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 15 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction.” Springer Nature, 2019. <a href=\"https://doi.org/10.6084/m9.figshare.9808802.v1\">https://doi.org/10.6084/m9.figshare.9808802.v1</a>."},"date_created":"2021-08-11T14:26:40Z","date_updated":"2023-08-30T06:20:21Z","oa_version":"Published Version","department":[{"_id":"FyKo"}],"status":"public"},{"year":"2019","_id":"9892","doi":"10.6084/m9.figshare.9808814.v1","main_file_link":[{"url":"https://doi.org/10.6084/m9.figshare.9808814.v1","open_access":"1"}],"status":"public","date_updated":"2023-08-30T06:20:21Z","date_created":"2021-08-12T07:11:53Z","oa_version":"Published Version","department":[{"_id":"FyKo"}],"related_material":{"record":[{"id":"6898","relation":"used_in_publication","status":"public"}]},"citation":{"ista":"Sigalova OM, Chaplin AV, Bochkareva O, Shelyakin PV, Filaretov VA, Akkuratov EE, Burskaia V, Gelfand MS. 2019. 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Gelfand. “Additional File 16 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction.” Springer Nature, 2019. <a href=\"https://doi.org/10.6084/m9.figshare.9808814.v1\">https://doi.org/10.6084/m9.figshare.9808814.v1</a>."},"month":"09","author":[{"full_name":"Sigalova, Olga M.","last_name":"Sigalova","first_name":"Olga M."},{"first_name":"Andrei V","full_name":"Chaplin, Andrei V","last_name":"Chaplin"},{"orcid":"0000-0003-1006-6639","full_name":"Bochkareva, Olga","last_name":"Bochkareva","first_name":"Olga","id":"C4558D3C-6102-11E9-A62E-F418E6697425"},{"first_name":"Pavel V.","last_name":"Shelyakin","full_name":"Shelyakin, Pavel V."},{"first_name":"Vsevolod A.","last_name":"Filaretov","full_name":"Filaretov, Vsevolod A."},{"first_name":"Evgeny E.","last_name":"Akkuratov","full_name":"Akkuratov, Evgeny E."},{"first_name":"Valentina","last_name":"Burskaia","full_name":"Burskaia, Valentina"},{"last_name":"Gelfand","full_name":"Gelfand, Mikhail S.","first_name":"Mikhail S."}],"article_processing_charge":"No","abstract":[{"text":"Distribution of OGs with mosaic phyletic patterns across species (all genomes). 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M., Chaplin, A. V., Bochkareva, O., Shelyakin, P. V., Filaretov, V. A., Akkuratov, E. E., … Gelfand, M. S. (2019). Additional file 17 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction. Springer Nature. <a href=\"https://doi.org/10.6084/m9.figshare.9808820.v1\">https://doi.org/10.6084/m9.figshare.9808820.v1</a>","ama":"Sigalova OM, Chaplin AV, Bochkareva O, et al. Additional file 17 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction. 2019. doi:<a href=\"https://doi.org/10.6084/m9.figshare.9808820.v1\">10.6084/m9.figshare.9808820.v1</a>","ista":"Sigalova OM, Chaplin AV, Bochkareva O, Shelyakin PV, Filaretov VA, Akkuratov EE, Burskaia V, Gelfand MS. 2019. Additional file 17 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction, Springer Nature, <a href=\"https://doi.org/10.6084/m9.figshare.9808820.v1\">10.6084/m9.figshare.9808820.v1</a>.","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 17 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction.” Springer Nature, 2019. <a href=\"https://doi.org/10.6084/m9.figshare.9808820.v1\">https://doi.org/10.6084/m9.figshare.9808820.v1</a>.","ieee":"O. M. Sigalova <i>et al.</i>, “Additional file 17 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction.” Springer Nature, 2019.","short":"O.M. Sigalova, A.V. Chaplin, O. Bochkareva, P.V. Shelyakin, V.A. Filaretov, E.E. Akkuratov, V. Burskaia, M.S. Gelfand, (2019).","mla":"Sigalova, Olga M., et al. <i>Additional File 17 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction</i>. Springer Nature, 2019, doi:<a href=\"https://doi.org/10.6084/m9.figshare.9808820.v1\">10.6084/m9.figshare.9808820.v1</a>."},"related_material":{"record":[{"relation":"used_in_publication","status":"public","id":"6898"}]},"type":"research_data_reference","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","publisher":"Springer Nature","abstract":[{"lang":"eng","text":"Summary of peripheral genesa phyletic patterns and tree concordance. (CSV 26 kb)"}],"article_processing_charge":"No","day":"12","date_published":"2019-09-12T00:00:00Z","title":"Additional file 17 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction","oa":1},{"title":"Additional file 18 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction","date_published":"2019-09-12T00:00:00Z","day":"12","oa":1,"type":"research_data_reference","article_processing_charge":"No","abstract":[{"lang":"eng","text":"Orthologous families (OFs) derived by MCL clustering of OGs. (CSV 189 kb)"}],"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","publisher":"Springer Nature","date_created":"2021-08-12T07:25:07Z","date_updated":"2023-08-30T06:20:21Z","department":[{"_id":"FyKo"}],"oa_version":"Published Version","status":"public","month":"09","author":[{"full_name":"Sigalova, Olga M.","last_name":"Sigalova","first_name":"Olga M."},{"last_name":"Chaplin","full_name":"Chaplin, Andrei V.","first_name":"Andrei V."},{"id":"C4558D3C-6102-11E9-A62E-F418E6697425","first_name":"Olga","orcid":"0000-0003-1006-6639","full_name":"Bochkareva, Olga","last_name":"Bochkareva"},{"first_name":"Pavel V.","last_name":"Shelyakin","full_name":"Shelyakin, Pavel V."},{"full_name":"Filaretov, Vsevolod A.","last_name":"Filaretov","first_name":"Vsevolod A."},{"first_name":"Evgeny E.","full_name":"Akkuratov, 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."}],"related_material":{"record":[{"relation":"used_in_publication","status":"public","id":"6898"}]},"citation":{"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, <a href=\"https://doi.org/10.6084/m9.figshare.9808826.v1\">10.6084/m9.figshare.9808826.v1</a>.","apa":"Sigalova, O. M., Chaplin, A. V., Bochkareva, O., Shelyakin, P. V., Filaretov, V. A., Akkuratov, E. E., … Gelfand, M. S. (2019). Additional file 18 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction. Springer Nature. <a href=\"https://doi.org/10.6084/m9.figshare.9808826.v1\">https://doi.org/10.6084/m9.figshare.9808826.v1</a>","ama":"Sigalova OM, Chaplin AV, Bochkareva O, et al. Additional file 18 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction. 2019. doi:<a href=\"https://doi.org/10.6084/m9.figshare.9808826.v1\">10.6084/m9.figshare.9808826.v1</a>","ieee":"O. M. Sigalova <i>et al.</i>, “Additional file 18 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction.” Springer Nature, 2019.","mla":"Sigalova, Olga M., et al. <i>Additional File 18 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction</i>. Springer Nature, 2019, doi:<a href=\"https://doi.org/10.6084/m9.figshare.9808826.v1\">10.6084/m9.figshare.9808826.v1</a>.","short":"O.M. 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. <a href=\"https://doi.org/10.6084/m9.figshare.9808826.v1\">https://doi.org/10.6084/m9.figshare.9808826.v1</a>."},"year":"2019","_id":"9894","main_file_link":[{"open_access":"1","url":"https://doi.org/10.6084/m9.figshare.9808826.v1"}],"doi":"10.6084/m9.figshare.9808826.v1"},{"_id":"9895","year":"2019","main_file_link":[{"url":"https://doi.org/10.6084/m9.figshare.9808835.v1","open_access":"1"}],"doi":"10.6084/m9.figshare.9808835.v1","department":[{"_id":"FyKo"}],"oa_version":"Published Version","date_updated":"2023-08-30T06:20:21Z","date_created":"2021-08-12T07:44:52Z","status":"public","author":[{"full_name":"Sigalova, Olga M.","last_name":"Sigalova","first_name":"Olga M."},{"full_name":"Chaplin, Andrei V.","last_name":"Chaplin","first_name":"Andrei V."},{"id":"C4558D3C-6102-11E9-A62E-F418E6697425","first_name":"Olga","orcid":"0000-0003-1006-6639","full_name":"Bochkareva, Olga","last_name":"Bochkareva"},{"first_name":"Pavel V.","last_name":"Shelyakin","full_name":"Shelyakin, Pavel V."},{"full_name":"Filaretov, Vsevolod A.","last_name":"Filaretov","first_name":"Vsevolod A."},{"full_name":"Akkuratov, Evgeny E.","last_name":"Akkuratov","first_name":"Evgeny E."},{"full_name":"Burskaia, Valentina","last_name":"Burskaia","first_name":"Valentina"},{"full_name":"Gelfand, Mikhail S.","last_name":"Gelfand","first_name":"Mikhail S."}],"month":"09","citation":{"apa":"Sigalova, O. 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Additional file 19 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction, Springer Nature, <a href=\"https://doi.org/10.6084/m9.figshare.9808835.v1\">10.6084/m9.figshare.9808835.v1</a>.","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 19 of Chlamydia Pan-Genomic Analysis Reveals Balance between Host Adaptation and Selective Pressure to Genome Reduction.” Springer Nature, 2019. <a href=\"https://doi.org/10.6084/m9.figshare.9808835.v1\">https://doi.org/10.6084/m9.figshare.9808835.v1</a>.","ieee":"O. M. Sigalova <i>et al.</i>, “Additional file 19 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction.” Springer Nature, 2019.","short":"O.M. Sigalova, A.V. Chaplin, O. Bochkareva, P.V. Shelyakin, V.A. Filaretov, E.E. 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Springer Nature, 2019, doi:<a href=\"https://doi.org/10.6084/m9.figshare.9808907.v1\">10.6084/m9.figshare.9808907.v1</a>."},"related_material":{"record":[{"relation":"used_in_publication","status":"public","id":"6898"}]},"author":[{"first_name":"Olga M.","full_name":"Sigalova, Olga M.","last_name":"Sigalova"},{"full_name":"Chaplin, Andrei V.","last_name":"Chaplin","first_name":"Andrei V."},{"orcid":"0000-0003-1006-6639","full_name":"Bochkareva, Olga","last_name":"Bochkareva","id":"C4558D3C-6102-11E9-A62E-F418E6697425","first_name":"Olga"},{"last_name":"Shelyakin","full_name":"Shelyakin, Pavel V.","first_name":"Pavel V."},{"first_name":"Vsevolod A.","last_name":"Filaretov","full_name":"Filaretov, Vsevolod A."},{"first_name":"Evgeny E.","full_name":"Akkuratov, Evgeny E.","last_name":"Akkuratov"},{"first_name":"Valentina","full_name":"Burskaia, Valentina","last_name":"Burskaia"},{"first_name":"Mikhail S.","last_name":"Gelfand","full_name":"Gelfand, Mikhail S."}],"month":"09","status":"public","department":[{"_id":"FyKo"}],"oa_version":"Published Version","date_updated":"2023-08-30T06:20:22Z","date_created":"2021-08-12T10:54:03Z","doi":"10.6084/m9.figshare.9808907.v1","main_file_link":[{"url":"https://doi.org/10.6084/m9.figshare.9808907.v1","open_access":"1"}],"_id":"9901","year":"2019","oa":1,"day":"12","date_published":"2019-09-12T00:00:00Z","title":"Additional file 9 of Chlamydia pan-genomic analysis reveals balance between host adaptation and selective pressure to genome reduction","publisher":"Springer Nature","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","article_processing_charge":"No","abstract":[{"text":"Clusters of Orthologous Genes (COGs) and corresponding functional categories assigned to OGs. (CSV 117 kb)","lang":"eng"}],"type":"research_data_reference"},{"oa":1,"language":[{"iso":"eng"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","abstract":[{"text":"We investigate the quantum Jensen divergences from the viewpoint of joint convexity. It turns out that the set of the functions which generate jointly convex quantum Jensen divergences on positive matrices coincides with the Matrix Entropy Class which has been introduced by Chen and Tropp quite recently.","lang":"eng"}],"article_processing_charge":"No","external_id":{"isi":["000470955300005"],"arxiv":["1712.05324"]},"author":[{"orcid":"0000-0003-1109-5511","full_name":"Virosztek, Daniel","last_name":"Virosztek","first_name":"Daniel","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87"}],"page":"67-78","status":"public","oa_version":"Preprint","ec_funded":1,"year":"2019","publication":"Linear Algebra and Its Applications","isi":1,"day":"01","title":"Jointly convex quantum Jensen divergences","date_published":"2019-09-01T00:00:00Z","arxiv":1,"publisher":"Elsevier","type":"journal_article","scopus_import":"1","quality_controlled":"1","publication_status":"published","citation":{"apa":"Virosztek, D. (2019). Jointly convex quantum Jensen divergences. <i>Linear Algebra and Its Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">https://doi.org/10.1016/j.laa.2018.03.002</a>","ama":"Virosztek D. Jointly convex quantum Jensen divergences. <i>Linear Algebra and Its Applications</i>. 2019;576:67-78. doi:<a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">10.1016/j.laa.2018.03.002</a>","ista":"Virosztek D. 2019. Jointly convex quantum Jensen divergences. Linear Algebra and Its Applications. 576, 67–78.","chicago":"Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” <i>Linear Algebra and Its Applications</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">https://doi.org/10.1016/j.laa.2018.03.002</a>.","ieee":"D. Virosztek, “Jointly convex quantum Jensen divergences,” <i>Linear Algebra and Its Applications</i>, vol. 576. Elsevier, pp. 67–78, 2019.","short":"D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.","mla":"Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” <i>Linear Algebra and Its Applications</i>, vol. 576, Elsevier, 2019, pp. 67–78, doi:<a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">10.1016/j.laa.2018.03.002</a>."},"acknowledgement":"The author was supported by the ISTFELLOW program of the Institute of Science and Technology Austria (project code IC1027FELL01) and partially supported by the Hungarian National Research, Development and Innovation Office – NKFIH (grant no. K124152)","month":"09","article_type":"original","intvolume":"       576","department":[{"_id":"LaEr"}],"publist_id":"7424","date_updated":"2023-08-24T14:31:47Z","date_created":"2018-12-11T11:46:17Z","doi":"10.1016/j.laa.2018.03.002","project":[{"call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme","grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425"}],"volume":576,"main_file_link":[{"url":"https://arxiv.org/abs/1712.05324","open_access":"1"}],"_id":"405"},{"year":"2019","ec_funded":1,"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication_identifier":{"eissn":["14322064"],"issn":["01788051"]},"oa_version":"Published Version","status":"public","page":"293–373","author":[{"first_name":"Oskari H","id":"36F2FB7E-F248-11E8-B48F-1D18A9856A87","last_name":"Ajanki","full_name":"Ajanki, Oskari H"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"},{"full_name":"Krüger, Torben H","last_name":"Krüger","orcid":"0000-0002-4821-3297","id":"3020C786-F248-11E8-B48F-1D18A9856A87","first_name":"Torben H"}],"external_id":{"isi":["000459396500007"]},"abstract":[{"text":"We consider real symmetric or complex hermitian random matrices with correlated entries. We prove local laws for the resolvent and universality of the local eigenvalue statistics in the bulk of the spectrum. The correlations have fast decay but are otherwise of general form. The key novelty is the detailed stability analysis of the corresponding matrix valued Dyson equation whose solution is the deterministic limit of the resolvent.","lang":"eng"}],"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file_date_updated":"2020-07-14T12:46:26Z","language":[{"iso":"eng"}],"ddc":["510"],"oa":1,"issue":"1-2","_id":"429","volume":173,"file":[{"content_type":"application/pdf","file_id":"5720","checksum":"f9354fa5c71f9edd17132588f0dc7d01","date_updated":"2020-07-14T12:46:26Z","date_created":"2018-12-17T16:12:08Z","access_level":"open_access","relation":"main_file","file_size":1201840,"file_name":"2018_ProbTheory_Ajanki.pdf","creator":"dernst"}],"project":[{"call_identifier":"FP7","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"doi":"10.1007/s00440-018-0835-z","date_created":"2018-12-11T11:46:25Z","date_updated":"2023-08-24T14:39:00Z","department":[{"_id":"LaEr"}],"publist_id":"7394","intvolume":"       173","article_type":"original","month":"02","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\n","citation":{"ama":"Ajanki OH, Erdös L, Krüger TH. Stability of the matrix Dyson equation and random matrices with correlations. <i>Probability Theory and Related Fields</i>. 2019;173(1-2):293–373. doi:<a href=\"https://doi.org/10.1007/s00440-018-0835-z\">10.1007/s00440-018-0835-z</a>","apa":"Ajanki, O. H., Erdös, L., &#38; Krüger, T. H. (2019). Stability of the matrix Dyson equation and random matrices with correlations. <i>Probability Theory and Related Fields</i>. Springer. <a href=\"https://doi.org/10.1007/s00440-018-0835-z\">https://doi.org/10.1007/s00440-018-0835-z</a>","ista":"Ajanki OH, Erdös L, Krüger TH. 2019. Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. 173(1–2), 293–373.","chicago":"Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” <i>Probability Theory and Related Fields</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00440-018-0835-z\">https://doi.org/10.1007/s00440-018-0835-z</a>.","mla":"Ajanki, Oskari H., et al. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” <i>Probability Theory and Related Fields</i>, vol. 173, no. 1–2, Springer, 2019, pp. 293–373, doi:<a href=\"https://doi.org/10.1007/s00440-018-0835-z\">10.1007/s00440-018-0835-z</a>.","short":"O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 173 (2019) 293–373.","ieee":"O. H. Ajanki, L. Erdös, and T. H. Krüger, “Stability of the matrix Dyson equation and random matrices with correlations,” <i>Probability Theory and Related Fields</i>, vol. 173, no. 1–2. Springer, pp. 293–373, 2019."},"scopus_import":"1","quality_controlled":"1","type":"journal_article","publication_status":"published","publisher":"Springer","has_accepted_license":"1","title":"Stability of the matrix Dyson equation and random matrices with correlations","date_published":"2019-02-01T00:00:00Z","day":"01","isi":1,"publication":"Probability Theory and Related Fields"},{"oa_version":"Preprint","status":"public","author":[{"first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","last_name":"Hausel","full_name":"Hausel, Tamas"},{"first_name":"Martin","id":"43D735EE-F248-11E8-B48F-1D18A9856A87","last_name":"Mereb","full_name":"Mereb, Martin"},{"first_name":"Michael","full_name":"Wong, Michael","last_name":"Wong"}],"page":"2995-3052","year":"2019","ec_funded":1,"publication_identifier":{"eissn":["1435-9855"]},"language":[{"iso":"eng"}],"oa":1,"external_id":{"arxiv":["1604.03382"],"isi":["000480413600002"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","abstract":[{"text":"We count points over a finite field on wild character varieties,of Riemann surfaces for singularities with regular semisimple leading term. The new feature in our counting formulas is the appearance of characters of Yokonuma–Hecke algebras. Our result leads to the conjecture that the mixed Hodge polynomials of these character varieties agree with previously conjectured perverse Hodge polynomials of certain twisted parabolic Higgs moduli spaces, indicating the\r\npossibility of a P = W conjecture for a suitable wild Hitchin system.","lang":"eng"}],"article_processing_charge":"No","publist_id":"7384","department":[{"_id":"TaHa"}],"date_updated":"2023-08-24T14:24:49Z","date_created":"2018-12-11T11:46:29Z","intvolume":"        21","article_type":"original","month":"10","citation":{"ista":"Hausel T, Mereb M, Wong M. 2019. Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. 21(10), 2995–3052.","ama":"Hausel T, Mereb M, Wong M. Arithmetic and representation theory of wild character varieties. <i>Journal of the European Mathematical Society</i>. 2019;21(10):2995-3052. doi:<a href=\"https://doi.org/10.4171/JEMS/896\">10.4171/JEMS/896</a>","apa":"Hausel, T., Mereb, M., &#38; Wong, M. (2019). Arithmetic and representation theory of wild character varieties. <i>Journal of the European Mathematical Society</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JEMS/896\">https://doi.org/10.4171/JEMS/896</a>","short":"T. Hausel, M. Mereb, M. Wong, Journal of the European Mathematical Society 21 (2019) 2995–3052.","mla":"Hausel, Tamás, et al. “Arithmetic and Representation Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 10, European Mathematical Society, 2019, pp. 2995–3052, doi:<a href=\"https://doi.org/10.4171/JEMS/896\">10.4171/JEMS/896</a>.","ieee":"T. Hausel, M. Mereb, and M. Wong, “Arithmetic and representation theory of wild character varieties,” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 10. European Mathematical Society, pp. 2995–3052, 2019.","chicago":"Hausel, Tamás, Martin Mereb, and Michael Wong. “Arithmetic and Representation Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>. European Mathematical Society, 2019. <a href=\"https://doi.org/10.4171/JEMS/896\">https://doi.org/10.4171/JEMS/896</a>."},"issue":"10","_id":"439","volume":21,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1604.03382"}],"doi":"10.4171/JEMS/896","project":[{"_id":"25E549F4-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Arithmetic and physics of Higgs moduli spaces","grant_number":"320593"}],"day":"01","title":"Arithmetic and representation theory of wild character varieties","date_published":"2019-10-01T00:00:00Z","publication":"Journal of the European Mathematical Society","isi":1,"scopus_import":"1","publication_status":"published","type":"journal_article","quality_controlled":"1","publisher":"European Mathematical Society","arxiv":1},{"publisher":"Springer Nature","publication_status":"published","quality_controlled":"1","type":"journal_article","scopus_import":1,"arxiv":1,"publication":"European Journal of Mathematics","day":"15","date_published":"2019-09-15T00:00:00Z","title":"Tropical formulae for summation over a part of SL(2,Z)","_id":"441","issue":"3","doi":"10.1007/s40879-018-0218-0","project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"volume":5,"main_file_link":[{"url":"https://arxiv.org/abs/1711.02089","open_access":"1"}],"intvolume":"         5","department":[{"_id":"TaHa"}],"publist_id":"7382","date_updated":"2021-01-12T07:56:46Z","date_created":"2018-12-11T11:46:29Z","citation":{"apa":"Kalinin, N., &#38; Shkolnikov, M. (2019). Tropical formulae for summation over a part of SL(2,Z). <i>European Journal of Mathematics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40879-018-0218-0\">https://doi.org/10.1007/s40879-018-0218-0</a>","ama":"Kalinin N, Shkolnikov M. Tropical formulae for summation over a part of SL(2,Z). <i>European Journal of Mathematics</i>. 2019;5(3):909–928. doi:<a href=\"https://doi.org/10.1007/s40879-018-0218-0\">10.1007/s40879-018-0218-0</a>","ista":"Kalinin N, Shkolnikov M. 2019. Tropical formulae for summation over a part of SL(2,Z). European Journal of Mathematics. 5(3), 909–928.","chicago":"Kalinin, Nikita, and Mikhail Shkolnikov. “Tropical Formulae for Summation over a Part of SL(2,Z).” <i>European Journal of Mathematics</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s40879-018-0218-0\">https://doi.org/10.1007/s40879-018-0218-0</a>.","ieee":"N. Kalinin and M. Shkolnikov, “Tropical formulae for summation over a part of SL(2,Z),” <i>European Journal of Mathematics</i>, vol. 5, no. 3. Springer Nature, pp. 909–928, 2019.","short":"N. Kalinin, M. Shkolnikov, European Journal of Mathematics 5 (2019) 909–928.","mla":"Kalinin, Nikita, and Mikhail Shkolnikov. “Tropical Formulae for Summation over a Part of SL(2,Z).” <i>European Journal of Mathematics</i>, vol. 5, no. 3, Springer Nature, 2019, pp. 909–928, doi:<a href=\"https://doi.org/10.1007/s40879-018-0218-0\">10.1007/s40879-018-0218-0</a>."},"article_type":"original","month":"09","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","article_processing_charge":"No","external_id":{"arxiv":["1711.02089"]},"language":[{"iso":"eng"}],"oa":1,"year":"2019","publication_identifier":{"issn":["2199-675X"],"eissn":["2199-6768"]},"ec_funded":1,"status":"public","oa_version":"Preprint","author":[{"last_name":"Kalinin","full_name":"Kalinin, Nikita","first_name":"Nikita"},{"id":"35084A62-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","full_name":"Shkolnikov, Mikhail","last_name":"Shkolnikov","orcid":"0000-0002-4310-178X"}],"page":"909–928"},{"status":"public","oa_version":"Published Version","page":"778-806","author":[{"last_name":"Ganev","full_name":"Ganev, Iordan V","first_name":"Iordan V","id":"447491B8-F248-11E8-B48F-1D18A9856A87"}],"year":"2019","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"language":[{"iso":"eng"}],"oa":1,"ddc":["510"],"abstract":[{"lang":"eng","text":"In this paper, we introduce a quantum version of the wonderful compactification of a group as a certain noncommutative projective scheme. Our approach stems from the fact that the wonderful compactification encodes the asymptotics of matrix coefficients, and from its realization as a GIT quotient of the Vinberg semigroup. In order to define the wonderful compactification for a quantum group, we adopt a generalized formalism of Proj categories in the spirit of Artin and Zhang. Key to our construction is a quantum version of the Vinberg semigroup, which we define as a q-deformation of a certain Rees algebra, compatible with a standard Poisson structure. Furthermore, we discuss quantum analogues of the stratification of the wonderful compactification by orbits for a certain group action, and provide explicit computations in the case of SL2."}],"article_processing_charge":"Yes (via OA deal)","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","external_id":{"isi":["000470025900008"]},"file_date_updated":"2020-07-14T12:46:35Z","intvolume":"        99","date_updated":"2023-09-19T10:13:08Z","date_created":"2018-12-11T11:44:06Z","publist_id":"8052","department":[{"_id":"TaHa"}],"citation":{"ama":"Ganev IV. The wonderful compactification for quantum groups. <i>Journal of the London Mathematical Society</i>. 2019;99(3):778-806. doi:<a href=\"https://doi.org/10.1112/jlms.12193\">10.1112/jlms.12193</a>","apa":"Ganev, I. V. (2019). The wonderful compactification for quantum groups. <i>Journal of the London Mathematical Society</i>. Wiley. <a href=\"https://doi.org/10.1112/jlms.12193\">https://doi.org/10.1112/jlms.12193</a>","ista":"Ganev IV. 2019. The wonderful compactification for quantum groups. Journal of the London Mathematical Society. 99(3), 778–806.","chicago":"Ganev, Iordan V. “The Wonderful Compactification for Quantum Groups.” <i>Journal of the London Mathematical Society</i>. Wiley, 2019. <a href=\"https://doi.org/10.1112/jlms.12193\">https://doi.org/10.1112/jlms.12193</a>.","mla":"Ganev, Iordan V. “The Wonderful Compactification for Quantum Groups.” <i>Journal of the London Mathematical Society</i>, vol. 99, no. 3, Wiley, 2019, pp. 778–806, doi:<a href=\"https://doi.org/10.1112/jlms.12193\">10.1112/jlms.12193</a>.","short":"I.V. Ganev, Journal of the London Mathematical Society 99 (2019) 778–806.","ieee":"I. V. Ganev, “The wonderful compactification for quantum groups,” <i>Journal of the London Mathematical Society</i>, vol. 99, no. 3. Wiley, pp. 778–806, 2019."},"month":"06","_id":"5","issue":"3","doi":"10.1112/jlms.12193","volume":99,"file":[{"file_name":"2019_Wiley_Ganev.pdf","file_size":431754,"creator":"kschuh","content_type":"application/pdf","checksum":"1be56239b2cd740a0e9a084f773c22f6","file_id":"7238","date_created":"2020-01-07T13:31:53Z","access_level":"open_access","date_updated":"2020-07-14T12:46:35Z","relation":"main_file"}],"isi":1,"publication":"Journal of the London Mathematical Society","date_published":"2019-06-01T00:00:00Z","title":"The wonderful compactification for quantum groups","day":"01","publisher":"Wiley","scopus_import":"1","type":"journal_article","quality_controlled":"1","publication_status":"published","has_accepted_license":"1"},{"language":[{"iso":"eng"}],"oa":1,"ddc":["570"],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_processing_charge":"Yes (via OA deal)","abstract":[{"lang":"eng","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."}],"external_id":{"isi":["000462680200002"]},"file_date_updated":"2020-07-14T12:45:45Z","status":"public","oa_version":"Published Version","author":[{"last_name":"Amberg","full_name":"Amberg, Nicole","orcid":"0000-0002-3183-8207","first_name":"Nicole","id":"4CD6AAC6-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Susanne","id":"2D6B7A9A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7903-3010","last_name":"Laukoter","full_name":"Laukoter, Susanne"},{"id":"37B36620-F248-11E8-B48F-1D18A9856A87","first_name":"Simon","full_name":"Hippenmeyer, Simon","last_name":"Hippenmeyer","orcid":"0000-0003-2279-1061"}],"page":"12-26","year":"2019","ec_funded":1,"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"publication":"Journal of Neurochemistry","isi":1,"day":"01","title":"Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex","date_published":"2019-04-01T00:00:00Z","publisher":"Wiley","publication_status":"published","type":"journal_article","quality_controlled":"1","scopus_import":"1","has_accepted_license":"1","intvolume":"       149","department":[{"_id":"SiHi"}],"date_created":"2018-12-11T11:44:14Z","date_updated":"2023-09-11T13:40:26Z","citation":{"chicago":"Amberg, Nicole, Susanne Laukoter, and Simon Hippenmeyer. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” <i>Journal of Neurochemistry</i>. Wiley, 2019. <a href=\"https://doi.org/10.1111/jnc.14601\">https://doi.org/10.1111/jnc.14601</a>.","ieee":"N. Amberg, S. Laukoter, and S. Hippenmeyer, “Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex,” <i>Journal of Neurochemistry</i>, vol. 149, no. 1. Wiley, pp. 12–26, 2019.","mla":"Amberg, Nicole, et al. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” <i>Journal of Neurochemistry</i>, vol. 149, no. 1, Wiley, 2019, pp. 12–26, doi:<a href=\"https://doi.org/10.1111/jnc.14601\">10.1111/jnc.14601</a>.","short":"N. Amberg, S. Laukoter, S. Hippenmeyer, Journal of Neurochemistry 149 (2019) 12–26.","apa":"Amberg, N., Laukoter, S., &#38; Hippenmeyer, S. (2019). Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. <i>Journal of Neurochemistry</i>. Wiley. <a href=\"https://doi.org/10.1111/jnc.14601\">https://doi.org/10.1111/jnc.14601</a>","ama":"Amberg N, Laukoter S, Hippenmeyer S. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. <i>Journal of Neurochemistry</i>. 2019;149(1):12-26. doi:<a href=\"https://doi.org/10.1111/jnc.14601\">10.1111/jnc.14601</a>","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."},"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","month":"04","article_type":"review","_id":"27","issue":"1","doi":"10.1111/jnc.14601","project":[{"_id":"25D92700-B435-11E9-9278-68D0E5697425","name":"Mapping Cell-Type Specificity of the Genomic Imprintome in the Brain","grant_number":"LS13-002"},{"_id":"25D7962E-B435-11E9-9278-68D0E5697425","grant_number":"RGP0053/2014","name":"Quantitative Structure-Function Analysis of Cerebral Cortex Assembly at Clonal Level"},{"call_identifier":"FP7","grant_number":"618444","name":"Molecular Mechanisms of Cerebral Cortex Development","_id":"25D61E48-B435-11E9-9278-68D0E5697425"},{"grant_number":"725780","name":"Principles of Neural Stem Cell Lineage Progression in Cerebral Cortex Development","call_identifier":"H2020","_id":"260018B0-B435-11E9-9278-68D0E5697425"}],"file":[{"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_updated":"2020-07-14T12:45:45Z","date_created":"2020-01-07T13:35:52Z","file_id":"7239","checksum":"db027721a95d36f5de36aadcd0bdf7e6","file_size":889709,"file_name":"2019_Wiley_Amberg.pdf","creator":"kschuh"}],"volume":149},{"language":[{"iso":"eng"}],"oa":1,"external_id":{"isi":["000458945300012"],"arxiv":["1611.04177"]},"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."}],"article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Preprint","status":"public","page":"995-1012","author":[{"first_name":"Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","full_name":"Gerencser, Mate","last_name":"Gerencser"},{"first_name":"István","full_name":"Gyöngy, István","last_name":"Gyöngy"}],"year":"2019","date_published":"2019-03-01T00:00:00Z","title":"A Feynman–Kac formula for stochastic Dirichlet problems","day":"01","isi":1,"publication":"Stochastic Processes and their Applications","scopus_import":"1","type":"journal_article","publication_status":"published","quality_controlled":"1","publisher":"Elsevier","arxiv":1,"date_updated":"2023-08-24T14:20:49Z","date_created":"2018-12-11T11:45:42Z","department":[{"_id":"JaMa"}],"intvolume":"       129","article_type":"original","month":"03","citation":{"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>","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>","ista":"Gerencser M, Gyöngy I. 2019. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 129(3), 995–1012.","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.","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>.","short":"M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012."},"issue":"3","_id":"301","main_file_link":[{"url":"https://arxiv.org/abs/1611.04177","open_access":"1"}],"volume":129,"doi":"10.1016/j.spa.2018.04.003"},{"status":"public","oa_version":"Published Version","page":"697–758","author":[{"last_name":"Gerencser","full_name":"Gerencser, Mate","first_name":"Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Hairer","full_name":"Hairer, Martin","first_name":"Martin"}],"year":"2019","publication_identifier":{"eissn":["14322064"],"issn":["01788051"]},"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"language":[{"iso":"eng"}],"oa":1,"ddc":["510"],"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."}],"article_processing_charge":"Yes (via OA deal)","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"isi":["000463613800001"]},"file_date_updated":"2020-07-14T12:46:03Z","intvolume":"       173","date_updated":"2023-08-24T14:38:32Z","date_created":"2018-12-11T11:45:48Z","publist_id":"7546","department":[{"_id":"JaMa"}],"acknowledgement":"MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n","citation":{"ista":"Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 173(3–4), 697–758.","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>","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>","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.","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>.","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>."},"article_type":"original","month":"04","_id":"319","issue":"3-4","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"doi":"10.1007/s00440-018-0841-1","volume":173,"file":[{"file_name":"2018_ProbTheory_Gerencser.pdf","file_size":893182,"creator":"dernst","content_type":"application/pdf","access_level":"open_access","date_updated":"2020-07-14T12:46:03Z","relation":"main_file","date_created":"2018-12-17T16:25:24Z","checksum":"288d16ef7291242f485a9660979486e3","file_id":"5722"}],"isi":1,"publication":"Probability Theory and Related Fields","date_published":"2019-04-01T00:00:00Z","title":"Singular SPDEs in domains with boundaries","day":"01","publisher":"Springer","scopus_import":"1","publication_status":"published","type":"journal_article","quality_controlled":"1","has_accepted_license":"1"}]