97 citations · 262 across the 38 of their papers we have counts for
5 papers · 1 filter
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…
On the zero-temperature limit of Gibbs states
J. -R. Chazottes, M. Hochman
We exhibit Lipschitz (and hence Hölder) potentials on the full shift such that the associated Gibbs measures fail to converge as the temperature goes to zero…
On the geometry of ground states and quasicrystals for lattice systems
J. -R. Chazottes, J. -M. Gambaudo, E. Ugalde
This paper has been withdrawn. It will be split into two separate papers. New results will be added in both papers.
Testing the irreversibility of a Gibbsian process via hitting and return times
J. -R. Chazottes, F. Redig
We introduce estimators for the entropy production of a Gibbsian process based on the observation of a single or two typical trajectories. These estimators are built with adequate…
Occurrence, repetition and matching of patterns in the low-temperature Ising model
J. -R. Chazottes, F. Redig
We continue our study of exponential law for occurrences and returns of patterns in the context of Gibbsian random fields. For the low temperature plus phase of the Ising model, we…