Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms

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dc.creatorOliveira, Krerley
dc.creatorViana, Marcelo
dc.date2006-07-12
dc.date.accessioned2026-07-07T07:18:17Z
dc.date.available2026-07-07T07:18:17Z
dc.descriptionWe prove existence of maximal entropy measures for an open set of non-uniformly expanding local diffeomorphisms on a compact Riemannian manifold. In this context the topological entropy coincides with the logarithm of the degree, and these maximizing measures are eigenmeasures of the transfer operator. When the map is topologically mixing, the maximizing measure is unique and positive on every open set.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0607290
dc.identifierhttp://arxiv.org/abs/math/0607290
dc.identifierDiscrete and Continuous Dynamical Systems, v. 15, n. 1, p. 225-236, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114243
dc.subjectDynamical Systems
dc.subject37A60; 37D25
dc.titleExistence and uniqueness of maximizing measures for robust classes of local diffeomorphisms
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