Zobrazeno 1 - 10
of 146
pro vyhledávání: '"Landim, Claudio"'
Consider the elliptic operator given by \[ \mathscr{L}_\epsilon f=b\cdot\nabla f+\epsilon\Delta f \] for some smooth vector field $b:\mathbb{R}^d\to\mathbb{R}^d$ and $\epsilon>0$, and the initial-valued problem on $\mathbb{R}^d$ \[ \left\{\begin{alig
Externí odkaz:
http://arxiv.org/abs/2402.07695
Consider the elliptic operator given by $$ \mathscr{L}_{\epsilon}f= {b} \cdot \nabla f + \epsilon \Delta f $$ for some smooth vector field $ b\colon \mathbb R^d \to\mathbb R^d$ and a small parameter $\epsilon>0$. Consider the initial-valued problem $
Externí odkaz:
http://arxiv.org/abs/2309.05546
Autor:
Landim, Claudio, Velasco, Sonia
We derive a formula for the quasi-potential of one-dimensional symmetric exclusion process in weak contact with reservoirs. The interaction with the boundary is so weak that, in the diffusive scale, the density profile evolves as the one of the exclu
Externí odkaz:
http://arxiv.org/abs/2308.10895
Let $\Xi_n \subset \mathbb R^d$, $n\ge 1$, be a sequence of finite sets and consider a $\Xi_n$-valued, irreducible, reversible, continuous-time Markov chain $(X^{(n)}_t:t\ge 0)$. Denote by $\mathscr P(\mathbb R^d) $ the set of probability measures on
Externí odkaz:
http://arxiv.org/abs/2303.00671
We consider a diffusion process on $\mathbb R^n$ and prove a large deviation principle for the empirical process in the joint limit in which the time window diverges and the noise vanishes. The corresponding rate function is given by the expectation
Externí odkaz:
http://arxiv.org/abs/2211.02593
Autor:
Landim, Claudio, Velasco, Sonia
Publikováno v:
In Stochastic Processes and their Applications November 2024 177
Autor:
Bouley, Angèle, Landim, Claudio
Publikováno v:
Journal of Statistical Physics (2022) 188:19
We consider macroscopic systems in weak contact with boundary reservoirs and under the action of external fields. We present an explicit formula for the Hamiltonian of such systems, from which we deduce the equation of motions, the action functional,
Externí odkaz:
http://arxiv.org/abs/2112.01091
We consider the weakly asymmetric exclusion process on the $d$-dimensional torus. We prove a large deviations principle for the time averaged empirical density and current in the joint limit in which both the time interval and the number of particles
Externí odkaz:
http://arxiv.org/abs/2111.05892
Autor:
Jara, Milton, Landim, Claudio
We prove that in dimension $d\le 3$ a modified density field of a stirring dynamics perturbed by a voter model converges to the stochastic heat equation.
Externí odkaz:
http://arxiv.org/abs/2008.03076
We present a general method to derive the metastable behavior of weakly mixing Markov chains. This approach is based on properties of the resolvent equations and can be applied to metastable dynamics which do not satisfy the mixing conditions require
Externí odkaz:
http://arxiv.org/abs/2006.04214