{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T22:19:13Z","timestamp":1758406753279,"version":"3.38.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2014,10,1]],"date-time":"2014-10-01T00:00:00Z","timestamp":1412121600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2014,10]]},"abstract":"<jats:p> In the present paper we prove homogenization for diffusions and the solutions of their corresponding Kolmogorov's equation with random, non-stationary, but locally ergodic coefficients. The results generalizes earlier work of Papanicolaou and Varadhan [in: Statistics and Probability: Essays in Honor of C.R. Rao, North-Holland, 1982, pp. 547\u2013552] and Yurinskii [Sibirsk. Mat. Zh. 23(2) (1982), 176\u2013188]. <\/jats:p>","DOI":"10.3233\/asy-141221","type":"journal-article","created":{"date-parts":[[2019,11,30]],"date-time":"2019-11-30T00:35:37Z","timestamp":1575074137000},"page":"1-20","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Homogenization of random diffusions in non-stationary environments"],"prefix":"10.1177","volume":"90","author":[{"given":"Marcin","family":"Boryc","sequence":"first","affiliation":[{"name":"Institute of Mathematics, UMCS, Lublin, Poland. E-mail: borycmarcin@tlen.pl"}]},{"given":"Tomasz","family":"Komorowski","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland. E-mail: komorow@hektor.umcs.edu.pl"}]}],"member":"179","published-online":{"date-parts":[[2014,10,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141221","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-141221","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,10]],"date-time":"2025-03-10T13:42:20Z","timestamp":1741614140000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-141221"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2014,10]]}},"alternative-id":["10.3233\/ASY-141221"],"URL":"https:\/\/doi.org\/10.3233\/asy-141221","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"type":"print","value":"0921-7134"},{"type":"electronic","value":"1875-8576"}],"subject":[],"published":{"date-parts":[[2014,10]]}}}