This self-contained monograph presents a unified exposition of the thermodynamic
formalism and some of its main extensions, with emphasis on the relation to dimension …

We survey a collection of results in the dimension theory of dynamical systems, with
emphasis on the study of repellers and hyperbolic sets of smooth dynamics. We discuss the …

A unique feature of smooth hyperbolic non-invertible maps is that of having different
unstable directions corresponding to different prehistories of the same point. In this paper we …

We show that a class of higher-dimensional hyperbolic endomorphisms admit absolutely
continuous invariant probabilities whose densities are regular and vary differentiably with …

There is an emerging consensus that parasitoids are limited by the number of eggs which
they can lay as well as the amount of time they can search for their hosts. Since egg …

Consider a dynamical system given by, where E is a linear expanding map of, C is a linear
contracting map of and f is in. We provide sufficient conditions for E that imply the existence …

We contribute to the thermodynamic formalism of partially hyperbolic attractors for local
diffeomorphisms admitting an invariant stable bundle and a positively invariant cone field …

INVARIANT MANIFOLDS AND SYNCHRONIZATION FOR COUPLED LOGISTIC
MAPPINGS 1. Introduction Since two decades ago coupled map lattices Page 1 INVARIANT …

We consider partially hyperbolic attractors for non-singular endomorphisms admitting an
invariant stable bundle and a positively invariant cone field with non-uniform cone …

We prove a forward Ergodic Closing Lemma for nonsingular C1 endomorphisms, claiming
that the set of eventually strongly closable points is a total probability set. The “forward” …