[HTML][HTML] Cosh gradient systems and tilting

MA Peletier, A Schlichting - Nonlinear Analysis, 2023 - Elsevier
We review a class of gradient systems with dissipation potentials of hyperbolic-cosine type.
We show how such dissipation potentials emerge in large deviations of jump processes …

Metastable markov chains

C Landim - 2019 - projecteuclid.org
Metastable Markov chains Page 1 Probability Surveys Vol. 16 (2019) 143–227 ISSN: 1549-5787
https://doi.org/10.1214/18-PS310 Metastable Markov chains Claudio Landim IMPA, Estrada …

A resolvent approach to metastability

C Landim, D Marcondes, I Seo - Journal of the European Mathematical …, 2023 - ems.press
We provide a necessary and sufficient condition for the metastability of a Markov chain,
expressed in terms of a property of the solutions of the resolvent equation. As an application …

Metastability of one-dimensional, non-reversible diffusions with periodic boundary conditions

C Landim, I Seo - 2019 - projecteuclid.org
We consider small perturbations of a dynamical system on the one-dimensional torus. We
derive sharp estimates for the pre-factor of the stationary state, we examine the asymptotic …

[PDF][PDF] Metastability of zero range processes via Poisson equations

C Oh, F Rezakhanlou - preprint, 2019 - math.berkeley.edu
We prove the metastability of zero range processes on a finite set with an approach using
the Poisson equation. Certain zero range processes on a finite set exhibit condensation …

Metastable behavior of weakly mixing Markov chains: the case of reversible, critical zero-range processes

C Landim, D Marcondes, I Seo - The Annals of Probability, 2023 - projecteuclid.org
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 …

[PDF][PDF] Metastable behavior of reversible, critical zero-range processes

C Landim, D Marcondes, I Seo - arXiv preprint arXiv:2006.04214, 2020 - researchgate.net
We prove that the position of the condensate of reversible, critical zero-range processes on
a finite set S evolves, in a suitable time scale, as a continuous-time Markov chain on S …

Brownian motion in an N-scale periodic potential

AB Duncan, GA Pavliotis - arXiv preprint arXiv:1605.05854, 2016 - arxiv.org
We study the problem of Brownian motion in a multiscale potential. The potential is assumed
to have N+ 1 scales (ie N small scales and one macroscale) and to depend periodically on …

Analysis of metastable behavior via solutions of Poisson equations

I Seo - arXiv preprint arXiv:1905.00743, 2019 - arxiv.org
We herein review the recent progress on the study of metastability based on the analysis of
solutions of Poisson equations related to the generators of the underlying metastable …

[PDF][PDF] Variational formulae for the capacity induced by second-order elliptic differential operators

C Landim - arXiv preprint arXiv:1712.03528, 2017 - arxiv.org
arXiv:1712.03528v1 [math.PR] 10 Dec 2017 Page 1 arXiv:1712.03528v1 [math.PR] 10 Dec
2017 VARIATIONAL FORMULAE FOR THE CAPACITY INDUCED BY SECOND-ORDER …