{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T23:48:16Z","timestamp":1772236096026,"version":"3.50.1"},"reference-count":38,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2016,6,4]],"date-time":"2016-06-04T00:00:00Z","timestamp":1464998400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000930","name":"NSF","doi-asserted-by":"publisher","award":["DMS-1500389"],"award-info":[{"award-number":["DMS-1500389"]}],"id":[{"id":"10.13039\/501100000930","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000930","name":"NSF","doi-asserted-by":"publisher","award":["DMS-0954606"],"award-info":[{"award-number":["DMS-0954606"]}],"id":[{"id":"10.13039\/501100000930","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Dan Rudolph showed that for an amenable group, \u0393, the generic measure-preserving action of \u0393 on a Lebesgue space has zero entropy. Here, this is extended to nonamenable groups. In fact, the proof shows that every action is a factor of a zero entropy action! This uses the strange phenomena that in the presence of nonamenability, entropy can increase under a factor map. The proof uses Seward\u2019s recent generalization of Sinai\u2019s Factor Theorem, the Gaboriau\u2013Lyons result and my theorem that for every nonabelian free group, all Bernoulli shifts factor onto each other.<\/jats:p>","DOI":"10.3390\/e18060220","type":"journal-article","created":{"date-parts":[[2016,6,6]],"date-time":"2016-06-06T10:47:38Z","timestamp":1465210058000},"page":"220","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Zero Entropy Is Generic"],"prefix":"10.3390","volume":"18","author":[{"given":"Lewis","family":"Bowen","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Natural Sciences, University of Texas at Austin, Austin, TX 78712, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,6,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1090\/S0894-0347-09-00637-7","article-title":"Measure conjugacy invariants for actions of countable sofic groups","volume":"23","author":"Bowen","year":"2010","journal-title":"J. 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