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- Centre National de la Recherche ScientifiqueFR105 papers
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10 papers · 2 filters
Metastability of the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field
C. Landim, P. Lemire
We consider the two-dimensional Blume-Capel model with zero chemical potential and small magnetic field evolving on a large but finite torus. We obtain sharp estimates for the tran…
Abrupt convergence for stochastic small perturbations of one dimensional dynamical systems
Gerardo Barrera, Milton Jara
We study the cut-off phenomenon for a family of stochastic small perturbations of a one dimensional dynamical system. We will focus in a semi-flow of a deterministic differential e…
Thermalisation for Small Random Perturbations of Dynamical Systems
Gerardo Barrera, Milton Jara
We consider an ordinary differential equation with a unique hyperbolic attractor at the origin, to which we add a small random perturbation. It is known that under general conditio…
A correction to the hydrodynamic limit of boundary driven exclusion processes in a super-diffusive time scale
E. Chavez, C. Landim
We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval in the super-diffusive time scale , where $1\ll ε^{-…
Total Variation and Separation Cutoffs are not equivalent and neither one implies the other
Jonathan Hermon, Hubert Lacoin, Yuval Peres
The cutoff phenomenon describes the case when an abrupt transition occurs in the convergence of a Markov chain to its equilibrium measure. There are various metrics which can be us…
Second order Boltzmann-Gibbs principle for polynomial functions and applications
Patricia Gonçalves, Milton Jara, Marielle Simon
In this paper we give a new proof of the second order Boltzmann-Gibbs principle. The proof does not impose the knowledge on the spectral gap inequality for the underlying model and…