13 citations · 18 across the 5 of their papers we have counts for
5 papers
On time scales and quasi-stationary distributions for multitype birth-and-death processes
J. -R. Chazottes, P. Collet, S. Méléard
We consider a class of birth-and-death processes describing a population made of sub-populations of different types which interact with one another. The state space is $\mathbb…
Poisson approximation for the number of visits to balls in nonuniformly hyperbolic dynamical systems
J. -R. Chazottes, P. Collet
We study the number of visits to balls B_r(x), up to time t/mu(B_r(x)), for a class of non-uniformly hyperbolic dynamical systems, where mu is the SRB measure. Outside a set of `ba…
Concentration inequalities for Markov processes via coupling
J. -R. Chazottes, F. Redig
We obtain moment and Gaussian bounds for general Lipschitz functions evaluated along the sample path of a Markov chain. We treat Markov chains on general (possibly unbounded) state…
Pressure and Equilibrium States in Ergodic Theory
J. -R. Chazottes, G. Keller
Our goal is to present the basic results on one-dimensional Gibbs and equilibrium states viewed as special invariant measures on symbolic dynamical systems, and then to describe wi…
Relative entropy and waiting times for continuous-time Markov processes
Jean-Rene Chazottes, Cristian Giardina, Frank Redig
For discrete-time stochastic processes, there is a close connection between return/waiting times and entropy. Such a connection cannot be straightforwardly extended to the continuo…