3 citations · 6 across the 3 of their papers we have counts for
6 papers · 1 filter
Generalized Dirichlet and Thomson Principles and Their Applications
Insuk Seo
This article is a lecture note on the potential theory of (possibly non-reversible) Markov processes and on the connection of this theory with quantitative analysis of the metastab…
Condensation and Metastable Behavior of Non-reversible Inclusion Processes
Seonwoo Kim, Insuk Seo
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 bel…
Analysis of metastable behavior via solutions of Poisson equations
Insuk Seo
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 dy…
Scaling Limit of Small Random Perturbation of Dynamical Systems
Fraydoun Rezakhanlou, Insuk Seo
In this article, we prove that a small random perturbation of dynamical system with multiple stable equilibria converges to a Markov chain whose states are neighborhoods of the dee…
Information Percolation and Cutoff for the Random-Cluster Model
Shirshendu Ganguly, Insuk Seo
We consider the Random-Cluster model on with parameters and . This is a generalization of the standard bond percolation (with ope…
Metastability of one-dimensional, non-reversible diffusions with periodic boundary conditions
C. Landim, I. Seo
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…