47 citations · 139 across the 18 of their papers we have counts for
19 papers
Approximation method to metastability: an application to non-reversible, two-dimensional Ising and Potts models without external fields
Seonwoo Kim, Insuk Seo
The main contribution of the current study is two-fold. First, we investigate the energy landscape of the Ising and Potts models on finite two-dimensional lattices without external…
Metastability of Ising and Potts models without external fields in large volumes at low temperatures
Seonwoo Kim, Insuk Seo
In this article, we investigate the energy landscape and metastable behavior of the Ising and Potts models on two-dimensional square or hexagonal lattices in the low temperature re…
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…
Energy Landscape and Metastability of Stochastic Ising and Potts Models on Three-dimensional Lattices Without External Fields
Seonwoo Kim, Insuk Seo
In this study, we investigate the energy landscape of the Ising and Potts models on fixed and finite but large three-dimensional (3D) lattices where no external field exists and qu…
Non-reversible Metastable Diffusions with Gibbs Invariant Measure II: Markov Chain Convergence
Jungkyoung Lee, Insuk Seo
This article considers a class of metastable non-reversible diffusion processes whose invariant measure is a Gibbs measure associated with a Morse potential. In a companion paper […
Non-reversible Metastable Diffusions with Gibbs Invariant Measure I: Eyring-Kramers Formula
Jungkyoung Lee, Insuk Seo
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…