{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,4]],"date-time":"2026-06-04T19:42:09Z","timestamp":1780602129897,"version":"3.54.1"},"reference-count":32,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/501100022175","name":"Stuttgart Center for Simulation Science","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100022175","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC 2075 - 390740016"],"award-info":[{"award-number":["EXC 2075 - 390740016"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100005156","name":"Alexander von Humboldt-Stiftung","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100005156","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2024,2,29]]},"DOI":"10.1137\/22m1473996","type":"journal-article","created":{"date-parts":[[2024,1,18]],"date-time":"2024-01-18T09:01:32Z","timestamp":1705568492000},"page":"913-954","source":"Crossref","is-referenced-by-count":2,"title":["Quantitative Coarse-Graining of Markov Chains"],"prefix":"10.1137","volume":"56","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0329-9402","authenticated-orcid":true,"given":"Bastian","family":"Hilder","sequence":"first","affiliation":[{"name":"Centre for Mathematical Sciences, Lund University, PO Box 118, 221 00 Lund, Sweden."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Upanshu","family":"Sharma","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2024,1,18]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s00526-011-0440-9"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8287-3_5"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198803195.001.0001"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1088\/1478-3975\/aa7363"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s10959-006-0016-3"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.2307\/3215235"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.81.591"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/S1540345902405556"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/aaced5"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2018.03.011"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-012-0554-z"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1214\/15-AAP1133"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.physchem.58.032806.104637"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/19M1299852"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1021\/jacs.7b12191"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2019.07.012"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/3087.001.0001"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1063\/1.2404953"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/23\/9\/006"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-013-0877-7"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2017.01.001"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/ab34bf"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/18M1186034"},{"key":"ref26","author":"Maydanskiy M.","journal-title":"Exponential convergence to equilibrium for finite continuous-time Markov chains"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s00526-012-0538-8"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202520500360"},{"key":"ref29","volume-title":"Markov Chains","author":"Norris J. R.","year":"1998"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-021-10024-2"},{"key":"ref31","volume-title":"Multiscale Methods: Averaging and Homogenization","author":"Pavliotis G. A.","year":"2008"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0092621"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1021\/acs.jctc.5b00743"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1039\/C6FD00147E"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,2,12]],"date-time":"2024-02-12T16:49:39Z","timestamp":1707756579000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1473996"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,18]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,2,29]]}},"alternative-id":["10.1137\/22M1473996"],"URL":"https:\/\/doi.org\/10.1137\/22m1473996","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,18]]}}}