Fast decay of correlations of equilibrium states of open classes of non-uniformly expanding maps and potentials

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dc.creatorArbieto, Alexander
dc.creatorMatheus, Carlos
dc.date2006-03-27
dc.date.accessioned2026-07-07T07:07:15Z
dc.date.available2026-07-07T07:07:15Z
dc.descriptionWe study the existence, uniqueness and rate of decay of correlation of equilibrium measures associated to robust classes of non-uniformly expanding local diffeomorphisms and Hölder continuous potentials. The approach used in this paper is the spectral analysis of the Ruelle-Perron-Frobenius transfer operator. More precisely, we combine the expanding features of the eigenmeasures of the transfer operator with a Lasota-Yorke type inequality to prove the existence of an unique equilibrium measure with fast decay of correlations.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/math/0603629
dc.identifierhttp://arxiv.org/abs/math/0603629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110326
dc.subjectDynamical Systems
dc.titleFast decay of correlations of equilibrium states of open classes of non-uniformly expanding maps and potentials
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