{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:54:55Z","timestamp":1777449295586,"version":"3.51.4"},"reference-count":23,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2015,12,1]],"date-time":"2015-12-01T00:00:00Z","timestamp":1448928000000},"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":[[2015,12,9]]},"abstract":"<jats:p>This work concerns Markov chains evolving on a denumerable sate space, which is endowed with a non-negative reward function with finite support. In this context, the problem of determining the Varadhan function, given by the exponential growth rate of the aggregated rewards, is studied. The main results in this direction are expressed in terms of the idea of a\u00a0 system of local Poisson equations, and can be summarized as follows: (i)\u00a0the Varadhan function is determined by one of such systems, and (ii)\u00a0if a finite set is accessible form any state, then a system of local Poisson equations exits.<\/jats:p>","DOI":"10.3233\/asy-151331","type":"journal-article","created":{"date-parts":[[2015,12,9]],"date-time":"2015-12-09T14:25:21Z","timestamp":1449671121000},"page":"23-50","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Local Poisson equations associated with the\u00a0Varadhan functional"],"prefix":"10.1177","volume":"96","author":[{"given":"Rolando","family":"Cavazos-Cadena","sequence":"first","affiliation":[{"name":"Departamento de Estad\u00edstica y C\u00e1lculo, Universidad Aut\u00f3noma Agraria Antonio Narro, Saltillo, COAH 25315, M\u00e9xico. E-mail:\u00a0"}]},{"given":"Daniel","family":"Hern\u00e1ndez-Hern\u00e1ndez","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n en Matem\u00e1ticas, Guanajuato, GTO 36000, M\u00e9xico. E-mail:\u00a0"}]}],"member":"179","published-online":{"date-parts":[[2015,12,1]]},"reference":[{"key":"ref001","first-page":"83","volume":"48","author":"Alan\u00eds-Dur\u00e1n A.","year":"2012","journal-title":"Kybernetika"},{"key":"ref002","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-009-9096-7"},{"key":"ref003","doi-asserted-by":"publisher","DOI":"10.1137\/090750081"},{"key":"ref004","first-page":"716","volume":"45","author":"Cavazos-Cadena R.","year":"2009","journal-title":"Kybernetika"},{"key":"ref005","doi-asserted-by":"publisher","DOI":"10.1007\/s001860400373"},{"key":"ref006","doi-asserted-by":"publisher","DOI":"10.1007\/s00245-005-0840-3"},{"key":"ref007","unstructured":"[7]A.\u00a0Dembo and O.\u00a0Zeitouni, Large Deviations Techniques and Applications, Jones and Bartlett, Boston, MA, 1993."},{"key":"ref008","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012997320614"},{"key":"ref009","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(99)00118-8"},{"key":"ref010","doi-asserted-by":"publisher","DOI":"10.1137\/040618631"},{"key":"ref011","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160280102"},{"key":"ref012","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160280206"},{"key":"ref013","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160290405"},{"key":"ref014","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012993258720"},{"key":"ref015","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1023481117"},{"key":"ref016","doi-asserted-by":"publisher","DOI":"10.1007\/s002459900126"},{"key":"ref017","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.18.7.356"},{"key":"ref018","unstructured":"[18]N.\u00a0Ichihara, Phase transitions for controlled Markov chains on infinite graphs, Preprint, 2014."},{"key":"ref019","doi-asserted-by":"publisher","DOI":"10.1214\/105051606000000790"},{"key":"ref020","doi-asserted-by":"publisher","DOI":"10.3233\/ASY-1999-351"},{"key":"ref021","doi-asserted-by":"publisher","DOI":"10.1214\/aoap\/1042765670"},{"key":"ref022","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719512"},{"key":"ref023","unstructured":"[23]M.L.\u00a0Puterman, Markov Decision Processes: Discrete Stochastic Dynamic Programming, Wiley, New York, 2005."}],"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-151331","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/ASY-151331","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-151331","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:41Z","timestamp":1777380041000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-151331"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12,1]]},"references-count":23,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,12,9]]}},"alternative-id":["10.3233\/ASY-151331"],"URL":"https:\/\/doi.org\/10.3233\/asy-151331","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12,1]]}}}