{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T08:52:16Z","timestamp":1773391936522,"version":"3.50.1"},"reference-count":12,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2008,9,19]],"date-time":"2008-09-19T00:00:00Z","timestamp":1221782400000},"content-version":"unspecified","delay-in-days":5681,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ergod. Th. Dynam. Sys."],"published-print":{"date-parts":[[1993,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We define a topology, denoted by <jats:italic>C<\/jats:italic><jats:sup>\u03c9<\/jats:sup>, on the space of real analytic diffeomorphisms and show that the elements of a residual (Baire second category) subset of diffeomorphisms that satisfy Axiom A and the Transversality Condition have a trivial centralizer; they only commute with their integer powers.<\/jats:p>","DOI":"10.1017\/s0143385700007288","type":"journal-article","created":{"date-parts":[[2008,9,19]],"date-time":"2008-09-19T11:16:38Z","timestamp":1221822998000},"page":"175-197","source":"Crossref","is-referenced-by-count":3,"title":["Rigidity of centralizers of real analytic diffeomorphisms"],"prefix":"10.1017","volume":"13","author":[{"given":"Jorge","family":"Rocha","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2008,9,19]]},"reference":[{"key":"S0143385700007288_ref012","volume-title":"Algebraic and Differential Topology-Global Differential Geometry","author":"Takens","year":"1984"},{"key":"S0143385700007288_ref009","doi-asserted-by":"publisher","DOI":"10.1007\/BF02585432"},{"key":"S0143385700007288_ref008","doi-asserted-by":"publisher","DOI":"10.24033\/asens.1576"},{"key":"S0143385700007288_ref006","volume-title":"Analysis of Real and Complex Manifolds","author":"Narasimhan","year":"1968"},{"key":"S0143385700007288_ref005","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1982-0675073-5"},{"key":"S0143385700007288_ref003","volume-title":"Eigenvalues in Riemannian Geometry","author":"Chavel","year":"1984"},{"key":"S0143385700007288_ref007","first-page":"19","volume-title":"Pitman Research Notes in Math. Series","volume":"221","author":"Palis"},{"key":"S0143385700007288_ref010","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(79)90027-2"},{"key":"S0143385700007288_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(76)90003-3"},{"key":"S0143385700007288_ref011","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(71)90035-8"},{"key":"S0143385700007288_ref002","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385700003540"},{"key":"S0143385700007288_ref004","doi-asserted-by":"publisher","DOI":"10.1090\/pspum\/014\/0270396"}],"container-title":["Ergodic Theory and Dynamical Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0143385700007288","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T19:45:18Z","timestamp":1557949518000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0143385700007288\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,3]]},"references-count":12,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1993,3]]}},"alternative-id":["S0143385700007288"],"URL":"https:\/\/doi.org\/10.1017\/s0143385700007288","relation":{},"ISSN":["0143-3857","1469-4417"],"issn-type":[{"value":"0143-3857","type":"print"},{"value":"1469-4417","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,3]]}}}