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Invariant Measures of Non-uniformly Expanding Maps with Higher Order Critical Set

dc.contributor.authorChicalé, Ricardo [UNESP]
dc.contributor.authorHorita, Vanderlei [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2025-04-29T18:49:09Z
dc.date.issued2025-01-01
dc.description.abstractWe prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in Horita et al. (J Dyn Diff, 2024). As a consequence of our approach, we obtain super-polynomial decay of correlations.en
dc.description.affiliationSão Paulo State University (Unesp) Institute of Biosciences Humanities and Exact Sciences, SP
dc.description.affiliationUnespSão Paulo State University (Unesp) Institute of Biosciences Humanities and Exact Sciences, SP
dc.identifierhttp://dx.doi.org/10.1007/s10884-025-10417-7
dc.identifier.citationJournal of Dynamics and Differential Equations.
dc.identifier.doi10.1007/s10884-025-10417-7
dc.identifier.issn1572-9222
dc.identifier.issn1040-7294
dc.identifier.scopus2-s2.0-105000417970
dc.identifier.urihttps://hdl.handle.net/11449/300284
dc.language.isoeng
dc.relation.ispartofJournal of Dynamics and Differential Equations
dc.sourceScopus
dc.subjectAbsolutely continuous invariant probability
dc.subjectHigher order critical point
dc.subjectNonuniformly hyperbolic systems
dc.subjectViana maps
dc.titleInvariant Measures of Non-uniformly Expanding Maps with Higher Order Critical Seten
dc.typeArtigopt
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt

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