97 citations · 262 across the 38 of their papers we have counts for
14 papers · 1 filter
Gaussian Concentration bound for potentials satisfying Walters condition with subexponential continuity rates
J. -R. Chazottes, J. Moles, E. Ugalde
We consider the full shift where , being a finite alphabet. For a class of potentials which contains in particular potentials with variation decr…
Fluctuations of observables in dynamical systems: from limit theorems to concentration inequalities
J. -R. Chazottes
We start by reviewing recent probabilistic results on ergodic sums in a large class of (non-uniformly) hyperbolic dynamical systems. Namely, we describe the central limit theorem,…
Optimal concentration inequalities for dynamical systems
Jean-René Chazottes, Sebastien Gouezel
For dynamical systems modeled by a Young tower with exponential tails, we prove an exponential concentration inequality for all separately Lipschitz observables of n variables. Whe…
On the finite-dimensional marginals of shift-invariant measures
J. -R. Chazottes, J. -M. Gambaudo, M. Hochman +1
Let be a finite alphabet, equipped with the shift action, and the simplex of shift-invariant measures on . We study the relation between…
Zero-temperature limit of one-dimensional Gibbs states via renormalization: the case of locally constant potentials
J. -R. Chazottes, J. -M. Gambaudo, E. Ugalde
Let be a finite set and be a locally constant potential. For each ("inverse temperature"), there is a unique Gibbs measure . We prove that, as $β\to+…
On the asymptotic measure of periodic subsystems of finite type in symbolic dynamics
J. -R. Chazottes, Z. Coelho, P. Collet
Let $Δ\subsetneq\V$ be a proper subset of the vertices $\V$ of the defining graph of an aperiodic shift of finite type . Let be the union of cylinders in $Σ_…