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math.DS2010★ 13 cited
Poisson approximation for the number of visits to balls in nonuniformly hyperbolic dynamical systems
J. -R. Chazottes, P. Collet
We study the number of visits to balls B_r(x), up to time t/mu(B_r(x)), for a class of non-uniformly hyperbolic dynamical systems, where mu is the SRB measure. Outside a set of `ba…
math.DS2008
Pressure and Equilibrium States in Ergodic Theory
J. -R. Chazottes, G. Keller
Our goal is to present the basic results on one-dimensional Gibbs and equilibrium states viewed as special invariant measures on symbolic dynamical systems, and then to describe wi…