We consider irreversible translation-invariant interacting particle systems on the d-
dimensional cubic lattice with finite local state space, which admit at least one Gibbs …

We extend results of Richard Holley beyond the integer lattice to a large class of countable
groups which includes free groups and all amenable groups: for nearest-neighbor …

OBJETIVOS: determinar a acurácia do escore de Alvarado para o diagnóstico de apendicite
aguda em crianças e adolescentes admitidos na emergência do Instituto Materno Infantil de …

We develop a dynamical approach to infinite volume directed polymer measures in random
environments. We define polymer dynamics in 1+ 1 1+ 1 dimension as a stochastic gradient …

By refining Holley's free energy technique, we show that, under quite general assumptions
on the dynamics, the attractor of a (possibly non-translation-invariant) interacting particle …

We extend results of R. Holley beyond the integer lattice to a large class of groups which
includes free groups. In particular we show that a shift-invariant measure is Gibbs if and only …

Abstract The Widom-Rowlinson model is an equilibrium model for point particles in
Euclidean space. It has a repulsive interaction between particles of different colors, and …

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

Abstract We consider the Curie–Weiss Potts model in zero external field under independent
symmetric spin-flip dynamics. We investigate dynamical Gibbs–non-Gibbs transitions for a …

Sofic entropy is an isomorphism invariant of measure-preserving actions of sofic groups
introduced by Lewis Bowen around 2010. Its classical analogue was introduced in the …