On periodic orbits in complex planar billiards
A conjecture of Victor Ivrii (1980) says that in every billiard with smooth boundary the set of peri
Dynamical Systems
Rare events for dynamical systems in the presence and absence of clustering
We consider discrete time dynamical systems and show the link between Hitting Time Statistics (the d
Dichotomy for the extremal behaviour of chaotic systems
We consider systems for which there exists decay of correlations against $L^1$ observables. Examples
Nonautonomous Dynamical Systems and Their Pullback Attractors
The study of the long-time behavior of solutions to nonautonomous differential equations from the po
Self-similar behaviour in coagulation equations: some results and open problems
Coagulation equations are models of cluster growth based on the mass action
law of chemical kinetics
The Patterns of Synchrony of a Coupled Cell Network
A coupled cell system is a dynamical system distributed over the nodes (cells) of a network. Each ce
Nonuniform dichotomic behavior for nonautonomous difference equations
Abstract. For nonautonomous linear difference equations in a Banach space and admitting a very gener
Global attractors for reaction-diffusion equations
We begin by a general overview of some long standing results on the characteriza- tion of global att