Hofbauer towers in ergodic theory
In uniformly hyperbolic dynamical systems, the Markov structure enables us to
learn a lot about the
Dynamical Systems
Symplectic invariants and dynamics
I will present some recent results on symplectic invariants concerning the possibility of embedding
Gibbs-Markov-Young structures with (streched) exponential recurrence times for partially hyperbolic
We consider a partially hyperbolic set K on a Riemannian manifold M whose tangent space splits as T_
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
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