There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

We present a common framework to study decay and exchanges rates in a wide class of
dynamical systems. Several applications, ranging from the metric theory of continuos …

Escape rates for Gibbs measures Page 1 Ergod. Th. & Dynam. Sys. (2012), 32, 961–988 c
Cambridge University Press, 2011 doi:10.1017/S0143385711000058 Escape rates for Gibbs …

In order to simulate observational and experimental situations, we consider a leak in the
phase space of a chaotic dynamical system. We obtain an expression for the escape rate of …

Much recent interest has focused on" open" dynamical systems, in which a classical map or
flow is considered only until the trajectory reaches a" hole", at which the dynamics is no …

We consider the open stadium billiard, consisting of two semicircles joined by parallel
straight sides with one hole situated somewhere on one of the sides. Due to the hyperbolic …

We consider one-dimensional discrete-time random walks (RWs) in the presence of finite
size traps of length ℓ over which the RWs can jump. We study the survival probability of such …

We obtain a description of the Poincaré recurrences of chaotic systems in terms of the
ergodic theory of transient chaos. It is based on the equivalence between the recurrence …

We investigate mushroom billiards, a class of dynamical systems with sharply divided phase
space. For typical values of the control parameter of the system ρ, an infinite number of …

We consider time-dependence of dynamical transport, following a recent study of the
stadium billiard in which classical transmission and reflection probabilities were shown to …