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 …
https://doi.org/10.1214/18-PS310 Metastable Markov chains Claudio Landim IMPA, Estrada …
Condensation and metastable behavior of non-reversible inclusion processes
In this article, we perform quantitative analyses of metastable behavior of an interacting
particle system known as the inclusion process. For inclusion processes, it is widely …
particle system known as the inclusion process. For inclusion processes, it is widely …
A resolvent approach to metastability
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 …
expressed in terms of a property of the solutions of the resolvent equation. As an application …
Non-reversible metastable diffusions with Gibbs invariant measure I: Eyring–Kramers formula
In this article, we prove the Eyring–Kramers formula for non-reversible metastable diffusion
processes that have a Gibbs invariant measure. Our result indicates that non-reversible …
processes that have a Gibbs invariant measure. Our result indicates that non-reversible …
Metastability of Ising and Potts models without external fields in large volumes at low temperatures
In this article, we investigate the energy landscape and metastable behavior of Ising and
Potts models on two-dimensional square or hexagonal lattices in the low-temperature …
Potts models on two-dimensional square or hexagonal lattices in the low-temperature …
Second time scale of the metastability of reversible inclusion processes
S Kim - Probability Theory and Related Fields, 2021 - Springer
We investigate the second time scale of the metastable behavior of the reversible inclusion
process in an extension of the study by Bianchi et al.(Electron J Probab 22: 1–34, 2017) …
process in an extension of the study by Bianchi et al.(Electron J Probab 22: 1–34, 2017) …
Metastability of the three-state Potts model with general interactions
We consider the Potts model on a two-dimensional periodic rectangular lattice with general
coupling constants J ij> 0, where i, j∈{1, 2, 3} are the possible spin values (or colors). The …
coupling constants J ij> 0, where i, j∈{1, 2, 3} are the possible spin values (or colors). The …
Metastability from the large deviations point of view: A Γ-expansion of the level two large deviations rate functional of non-reversible finite-state Markov chains
C Landim - Stochastic Processes and their Applications, 2023 - Elsevier
Consider a sequence of continuous-time Markov chains (X t (n): t≥ 0) evolving on a fixed
finite state space V. Let I n be the level two large deviations rate functional for X t (n), as …
finite state space V. Let I n be the level two large deviations rate functional for X t (n), as …
Fluid limit for the coarsening phase of the condensing zero-range process
We prove a fluid limit for the coarsening phase of the condensing zero-range process on a
finite number of sites. When time and occupation per site are linearly rescaled by the total …
finite number of sites. When time and occupation per site are linearly rescaled by the total …
Full Γ-expansion of reversible Markov chains level two large deviations rate functionals
Let Ξ n⊂ R d, n≥ 1, be a sequence of finite sets and consider a Ξ n-valued, irreducible,
reversible, continuous-time Markov chain (X t (n): t≥ 0). Denote by P (R d) the set of …
reversible, continuous-time Markov chain (X t (n): t≥ 0). Denote by P (R d) the set of …