Although individual orbits of chaotic dynamical systems are by definition unpredictable, the
average behavior of typical trajectories can often be given a precise statistical description …

In broad terms, the goal of dynamics is to describe the long-term evolution of systems for
which an" infinitesimal" evolution rule, such as a differential equation or the iteration of a …

抄録< jats: p> Designed to work as a reference and as a supplement to an advanced course
on dynamical systems, this book presents a self-contained and comprehensive account of …

We construct Sinai-Ruelle-Bowen (SRB) measures supported on partially hyperbolic sets of
diffeomorphisms–the tangent bundle splits into two invariant subbundles, one of which is …

We consider partially hyperbolic di eomorphisms preserving a splitting of the tangent bundle
into a strong-unstable subbundle Euu (uniformly expanding) and a subbundle Ec …

We consider open sets of transformations in a manifold M, exhibiting non-uniformly
expanding behavior in some forward invariant domain U\subset M. Assuming that each …

We consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary
dimension, possibly having discontinuities and/or critical sets, and show that under some …

ON DYNAMICS OF MOSTLY CONTRACTING DIFFEOMORPHISMS. 1. Introduction. This
paper treats a class of partially hyperbolic systems wi Page 1 ON DYNAMICS OF MOSTLY …

We prove statistical limit laws for sequences of Birkhoff sums of the type∑ j= 0 n− 1 vn∘ T nj
where T n is a family of nonuniformly hyperbolic transformations. The key ingredient is a new …

We prove existence of finitely many ergodic equilibrium states for a large class of non-
uniformly expanding local homeomorphisms on compact metric spaces and Hölder …