40 citations · 55 across the 4 of their papers we have counts for
5 papers
Maxentropy completion and properties of some partially defined Stationary Markov chains
Pierre Collet, Servet Martínez
We consider a stationary Markovian evolution with values on a disjointly partitioned set space . The evolution is visible (in the sense of knowing the transition…
Evolution of concentration under lattice spin-flip dynamics
J. -R. Chazottes, P. Collet, F. Redig
We consider spin-flip dynamics of configurations in , and study the time evolution of concentration inequalities. For "weakly interacting" dynamics we show…
On concentration inequalities and their applications for Gibbs measures in lattice systems
J. -R. Chazottes, P. Collet, F. Redig
We consider Gibbs measures on the configuration space , where mostly and is a finite set. We start by a short review on concentration inequalities f…
A concentration inequality for interval maps with an indifferent fixed point
J. -R. Chazottes, P. Collet, F. Redig +1
For a map of the unit interval with an indifferent fixed point, we prove an upper bound for the variance of all observables of variables which are componentwis…
Statistical Consequences of Devroye Inequality for Processes. Applications to a Class of Non-Uniformly Hyperbolic Dynamical Systems
J. -R. Chazottes, P. Collet, B. Schmitt
In this paper, we apply Devroye inequality to study various statistical estimators and fluctuations of observables for processes. Most of these observables are suggested by dynamic…