Statistical properties of one-dimensional maps with critical points and singularities

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dc.creatorDíaz-Ordaz, K.
dc.creatorHolland, M. P.
dc.creatorLuzzatto, S.
dc.date2007-09-11
dc.date.accessioned2026-07-07T08:29:00Z
dc.date.available2026-07-07T08:29:00Z
dc.descriptionWe prove that a class of one-dimensional maps with an arbitrary number of non-degenerate critical and singular points admits an induced Markov tower with exponential return time asymptotics. In particular the map has an absolutely continuous invariant probability measure with exponential decay of correlations for Hölder observations.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0709.1723
dc.identifierhttp://arxiv.org/abs/0709.1723
dc.identifierStochastics and Dynamics, vol 6, issue 4 (2006), pp. 423-458
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137813
dc.subjectDynamical Systems
dc.subject37D50, 37A25
dc.titleStatistical properties of one-dimensional maps with critical points and singularities
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