activity
20022026
most citedOn the zero-temperature limit of Gibbs states

97 citations · 262 across the 38 of their papers we have counts for

collaborators

40 papers

math.PR2026

Finitary coding and Gaussian concentration for random fields

J. -R. Chazottes, S. Gallo, D. Takahashi

We study Gaussian concentration inequalities for random fields obtained as finitary codings of i.i.d.\ fields, linking concentration properties to coding structure. A finitary codi…

math.PR2026

Gaussian concentration, integral probability metrics, and coupling functionals for infinite lattice systems

J. -R. Chazottes, P. Collet, F. Redig

We develop a transport-entropy framework for Gaussian concentration inequalities on the infinite product space , where is a finite set, in which sensitivity is…

math.PR2022

Large population limit of the spectrum of killed birth-and-death processes

J. -R. Chazottes, P. Collet, S. Méléard

We consider a general class of birth-and-death processes with state space which describes the size of a population going eventually to extinction with probabil…

math.PR2021★ 3 cited

Relative entropy, Gaussian concentration and uniqueness of equilibrium states

J. -R. Chazottes, F. Redig

For a general class of lattice-spin systems, we prove that an abstract Gaussian concentration bound implies positivity of lower relative entropy density. As a consequence we obtain…

math.PR2021★ 1 cited

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…

math-ph2020

On the absence of zero-temperature limit of equilibrium states for finite-range interactions on the lattice

J. -R. Chazottes, M. Shinoda

We construct finite-range interactions on , where is a finite set, for which the associated equilibrium states (i.e., the shift-invariant…