Seminário de Sistemas Dinâmicos

4 de Novembro 2009, 14h30

Strong stochastic stability for non-uniformly expanding maps
(Part I)
Complexo Interdisciplinar, Sala B3-01

Helder Vilarinho (Universidade da Beira Interior)

Abstract:

We address the strong stochastic stability of a broad class of discrete-time dynamical systems - the non-uniformly expanding (NUE) maps - when some random noise is introduced in the deterministic dynamics. In this first part, we provide some motivations and general concepts on NUE maps and random perturbations. We give a tour on the results we are interested and focus our attention in the construction of a random version of induced Gibbs-Markov maps for random NUE maps.

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