The interior of zero entropy diffeomorphisms.
The Circle Problem on Surfaces of Variable Negative Curvature.
The parabolic-parabolic Keller-Segel equation
I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].
The periodic orbit structure of orientation preserving diffeomorphisms on D2 with topological entropy zero
The Topological Entropy of the Transformation x ... ax (1-x).
Topological entropy and variation for transitive maps
Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval
The topological entropy of a nonautonomous dynamical system given by a sequence of compact metric spaces and a sequence of continuous maps , , is defined. If all the spaces are compact real intervals and all the maps are piecewise monotone then, under some additional assumptions, a formula for the entropy of the system is obtained in terms of the number of pieces of monotonicity of . As an application we construct a large class of smooth triangular maps of the square of type and positive...
Topological entropy on zero-dimensional spaces
Let X be an uncountable compact metrizable space of topological dimension zero. Given any a ∈[0,∞] there is a homeomorphism on X whose topological entropy is a.
Topological Markov chains with dicyclic dimension group.