{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:50:09Z","timestamp":1777449009380,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2012,12,1]],"date-time":"2012-12-01T00:00:00Z","timestamp":1354320000000},"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":[[2012,12]]},"abstract":"<jats:p>In this article we prove an important inequality regarding the Ruelle operator in hyperbolic flows. This was already proven briefly by Mark Pollicott and Richard Sharp in a low dimensional case [Amer. J. Math. 120 (1998), 1019\u20131042], but we present a clearer proof of the inequality, filling in gaps and explaining the ideas in more detail, and extend the inequality to higher-dimensional flows. This inequality is necessary to prove a proposition about the analyticity of Ruelle zeta functions.<\/jats:p>","DOI":"10.3233\/asy-2012-1113","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:24:11Z","timestamp":1575055451000},"page":"223-236","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Ruelle's lemma and Ruelle zeta functions"],"prefix":"10.1177","volume":"80","author":[{"given":"Paul","family":"Wright","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, University of Western Australia, Crawley, WA 6009, Australia. E-mail: paul.e.wright@uwa.edu.au"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2012,12,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2012-1113","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-2012-1113","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:39:44Z","timestamp":1777379984000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-2012-1113"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12]]},"references-count":0,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2012,12]]}},"alternative-id":["10.3233\/ASY-2012-1113"],"URL":"https:\/\/doi.org\/10.3233\/asy-2012-1113","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12]]}}}