{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,7]],"date-time":"2026-08-07T17:15:43Z","timestamp":1786122943791,"version":"build-2736575974"},"reference-count":42,"publisher":"American Physical Society (APS)","issue":"2","license":[{"start":{"date-parts":[[2026,8,7]],"date-time":"2026-08-07T00:00:00Z","timestamp":1786060800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000780","name":"European Commission","doi-asserted-by":"publisher","award":["101070568"],"award-info":[{"award-number":["101070568"]}],"id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,7,13]]},"abstract":"<jats:p>\n                    We consider the mean first-passage time (MFPT) through a target of interest for a diffusive particle of Langevin type, with the added condition that the particle is reset to its original position with some rate\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:mi>r<\/a:mi>\n                    <\/a:math>\n                    . We study both smooth and nonsmooth, nonconvex potentials, focusing on the case where the reset rate depends on the space coordinate. For quadratic and piecewise-quadratic potentials, we show that the benefits of resetting depend on the ratio between drift and noise, and become more important as the drift potential becomes smaller compared to the noise. When the target is a local optimum of the potential, we further show that it is beneficial to use a space-dependent resetting where the reset rate is lower when the particle is closer to the target.\n                  <\/jats:p>","DOI":"10.1103\/w2yj-91m8","type":"journal-article","created":{"date-parts":[[2026,7,13]],"date-time":"2026-07-13T12:42:33Z","timestamp":1783946553000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["First-passage time in space-dependent stochastic resetting"],"prefix":"10.1103","volume":"114","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4856-1758","authenticated-orcid":true,"given":"Johannes","family":"Aspman","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03kqpb082","id-type":"ROR","asserted-by":"publisher"}],"name":"Czech Technical University in Prague"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9456-7475","authenticated-orcid":true,"given":"Daniel","family":"Mastropietro","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03kqpb082","id-type":"ROR","asserted-by":"publisher"}],"name":"Czech Technical University in Prague"},{"id":[{"id":"https:\/\/ror.org\/033p9g875","id-type":"ROR","asserted-by":"publisher"}],"name":"Universit\u00e9 de Toulouse INP"},{"id":[{"id":"https:\/\/ror.org\/01rx4qw44","id-type":"ROR","asserted-by":"publisher"}],"name":"IRIT"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0839-0691","authenticated-orcid":true,"given":"Jakub","family":"Mare\u010dek","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03kqpb082","id-type":"ROR","asserted-by":"publisher"}],"name":"Czech Technical University in Prague"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,8,7]]},"reference":[{"key":"w2yj-91m8Cc1R1","doi-asserted-by":"publisher","DOI":"10.1088\/0953-8984\/19\/6\/065140","type":"journal-article"},{"key":"w2yj-91m8Cc2R1","doi-asserted-by":"publisher","DOI":"10.1038\/nature14539","type":"journal-article"},{"key":"w2yj-91m8Cc3R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.160601","type":"journal-article"},{"key":"w2yj-91m8Cc4R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/44\/43\/435001","type":"journal-article"},{"key":"w2yj-91m8Cc5R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/47\/28\/285001","type":"journal-article"},{"key":"w2yj-91m8Cc6R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.2741516","type":"journal-article"},{"key":"w2yj-91m8Cc7R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.82.061112","type":"journal-article"},{"key":"w2yj-91m8Cc8R1","doi-asserted-by":"publisher","DOI":"10.1137\/100796352","type":"journal-article"},{"key":"w2yj-91m8Cc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.118.030603","type":"journal-article"},{"key":"w2yj-91m8Cc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.96.022130","type":"journal-article"},{"key":"w2yj-91m8Cc11R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ab7cfe","type":"journal-article"},{"key":"w2yj-91m8Cc12R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.99.022130","type":"journal-article"},{"key":"w2yj-91m8Cc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.1.032001","type":"journal-article"},{"key":"w2yj-91m8Cc14R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ab1fcc","type":"journal-article"},{"key":"w2yj-91m8Cc15R1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0010549","type":"journal-article"},{"key":"w2yj-91m8Cc16R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.103.052129","type":"journal-article"},{"key":"w2yj-91m8Cc17R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.105.044134","type":"journal-article"},{"key":"w2yj-91m8Cc18R1","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(93)90029-9","type":"journal-article"},{"key":"w2yj-91m8Cc19R1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01940879","type":"journal-article"},{"key":"w2yj-91m8Cc20R1","volume-title":"Proceedings of the AAAI Conference on Artificial Intelligence","author":"H. 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"024110"}}