{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T19:22:05Z","timestamp":1770751325858,"version":"3.50.0"},"reference-count":45,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2204288"],"award-info":[{"award-number":["DMS-2204288"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2106988"],"award-info":[{"award-number":["DMS-2106988"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2023,12,31]]},"DOI":"10.1137\/22m1519717","type":"journal-article","created":{"date-parts":[[2023,11,2]],"date-time":"2023-11-02T08:01:03Z","timestamp":1698912063000},"page":"6457-6495","source":"Crossref","is-referenced-by-count":6,"title":["A Selection Principle for Weak KAM Solutions via Freidlin\u2013Wentzell Large Deviation Principle of Invariant Measures"],"prefix":"10.1137","volume":"55","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7231-5672","authenticated-orcid":true,"given":"Yuan","family":"Gao","sequence":"first","affiliation":[{"name":"Department of Mathematics, Purdue University, West Lafayette, IN 47907 USA."}]},{"given":"Jian-Guo","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Department of Physics, Duke University, Durham, NC 22708 USA."}]}],"member":"351","published-online":{"date-parts":[[2023,11,2]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-16895-1"},{"key":"ref2","series-title":"Grad. Texts in Math. 60","volume-title":"Mathematical Methods of Classical Mechanics","author":"Arnol\u2019d V. I.","year":"2013"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(83)90129-X"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4755-1"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1080\/03605309908820745"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/S0036141099350869"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2013.10.005"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1983-0690039-8"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1984-0744921-8"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s005260100081"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-016-0648-6"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0312(199907)52:7<811::AID-CPA2>3.0.CO;2-D"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/0905002"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/199"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-75914-0_4"},{"key":"ref17","first-page":"1043","volume":"324","author":"Fathi A.","year":"1997","journal-title":"C. R. Acad. Sci. Ser. I Math."},{"key":"ref18","first-page":"267","volume":"327","author":"Fathi A.","year":"1998","journal-title":"C. R. Acad. Sci. Ser. I Math."},{"key":"ref20","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1214\/10-AIHP412","volume":"48","author":"Faggionato A.","year":"2012","journal-title":"Ann. Inst. Henri Poincar\u00e9 Probab. Stat."},{"key":"ref21","first-page":"83","volume":"599","author":"Figalli A.","year":"2012","journal-title":"Geom. Anal. Math. Relativity Nonlinear Partial Differential Equations"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20250"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-25847-3"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-022-02985-5"},{"key":"ref25","author":"Gao Y.","journal-title":"Multiscale Model. Simul."},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/21M1437883"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1515\/ACV.2008.012"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1063\/1.4729137"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-008-0170-0"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2016.10.013"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1080\/03605302.2019.1710845"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/1105016"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/5\/3\/001"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/9\/2\/002"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(82)90023-4"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2016.10.032"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1080\/03605309908821451"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/0909073"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.2514\/3.51216"},{"key":"ref41","volume-title":"Action-minimizing Methods in Hamiltonian Dynamics (MN-50): An Introduction to Aubry-Mather Theory","author":"Sorrentino A.","year":"2015"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/213"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160190303"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1090\/cln\/027"},{"key":"ref45","first-page":"13","volume":"188","author":"Venttsel\u2019 A. D.","year":"1969","journal-title":"Dokl. Akad. Nauk"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1070\/RM1970v025n01ABEH001254"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-019-03362-2"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1063\/1.4943096"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,12,21]],"date-time":"2023-12-21T21:43:09Z","timestamp":1703194989000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1519717"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,2]]},"references-count":45,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,12,31]]}},"alternative-id":["10.1137\/22M1519717"],"URL":"https:\/\/doi.org\/10.1137\/22m1519717","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,2]]}}}