We estimate the speed of decay of correlations for general nonuniformly expanding
dynamical systems, using estimates on the time the system takes to become really …

We study a class of one-dimensional full branch maps admitting two indifferent fixed points
as well as critical points and/or unbounded derivative. Under some mild assumptions we …

For a class of partially hyperbolic Ck, k> 1 diffeomorphisms with circle center leaves we
prove the existence and finiteness of physical (or Sinai–Ruelle–Bowen) measures, whose …

We obtain large deviation bounds for non-uniformly expanding maps with non-flat
singularities or criticalities and for partially hyperbolic non-uniformly expanding attracting …

We study the ergodic and statistical properties of a class of maps of the circle and of the
interval of Lorenz type which present indifferent fixed points and points with unbounded …

We obtain a exponential large deviation upper bound for continuous observables on
suspension semiflows over a non-uniformly expanding base transformation with non-flat …

We propose a notion of random horseshoe for one-dimensional random dynamical systems.
We prove the abundance of random horseshoes for a class of circle endomorphisms subject …

Givenanergodicmeasurewithpositiveentrop… exponents, its dynamical quantifiers can be
approximated by means of quantifiers of some family of uniformly expanding repellers. Here …

Smooth ergodic theory and nonuniformly hyperbolic dynamics Page 70 CHAPTER 2 Smooth
Ergodic Theory and Nonuniformly Hyperbolic Dynamics Luis Barreira Departamento de Matemática …

We consider some classes of piecewise expanding maps in finite dimensional spaces
having invariant probability measures which are absolutely continuous with respect to …