Decay of correlations in one-dimensional dynamics

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dc.creatorBruin, Henk
dc.creatorLuzzatto, Stefano
dc.creatorvan Strien, Sebastian
dc.date2002-08-14
dc.date.accessioned2026-07-07T04:50:15Z
dc.date.available2026-07-07T04:50:15Z
dc.descriptionWe consider multimodal C^3 interval maps f satisfying a summability condition on the derivatives D_n along the critical orbits which implies the existence of an absolutely continuous f -invariant probability measure mu. If f is non-renormalizable, mu is mixing and we show that the speed of mixing (decay of correlations) is strongly related to the rate of growth of the sequence D_n as n tends to infinity . We also give sufficient conditions for mu to satisfy the Central Limit Theorem. This applies for example to the quadratic Fibonacci map which is shown to have subexponential decay of correlations.
dc.descriptionTo appear in Annales de l'Ecole Normale Superieure, 2002
dc.identifierhttps://arxiv.org/abs/math/0208114
dc.identifierhttp://arxiv.org/abs/math/0208114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64724
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37E05; 37C40
dc.titleDecay of correlations in one-dimensional dynamics
dc.typetext

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