10 citations · 14 across the 9 of their papers we have counts for
9 papers
Metastability of interacting stochastic systems with countably many metastable states: beyond positive recurrence
Seonwoo Kim, Jungkyoung Lee
Metastability is typically formulated for systems with finitely many metastable states, most often in positively recurrent settings. In this article, we extend the resolvent framew…
Sharp mixing time asymptotics of Glauber dynamics for the Curie-Weiss-Potts model at low temperatures
Seonwoo Kim, Jungkyoung Lee
In this article, we derive a sharp mixing time estimate of the Glauber dynamics for the Curie-Weiss-Potts model in the low-temperature regime. In contrast to the high-temperature r…
The Gamma Expansion of the Level Two Large Deviation Rate Functional for Reversible Diffusion Processes
Claudio Landim, Jungkyoung Lee, Mauro Mariani
Fix a smooth Morse function with finitely many critical points, and consider the solution of the stochastic differential equation \begin{equat…
Mixing of metastable diffusion processes with Gibbs invariant distribution
Jungkyoung Lee
In this article, we study the mixing properties of metastable diffusion processes which possess a Gibbs invariant distribution. For systems with multiple stable equilibria, so-call…
Metastability and time scales for parabolic equations with drift 2: the general time scale
Claudio Landim, Jungkyoung Lee, Insuk Seo
Consider the elliptic operator given by \[ \mathscr{L}_εf=b\cdot\nabla f+εΔf \] for some smooth vector field and , and the initial-valued probl…
Metastability and time scales for parabolic equations with drift 1: the first time scale
Claudio Landim, Jungkyoung Lee, Insuk Seo
Consider the elliptic operator given by for some smooth vector field and a small parameter $ε>0…
Energy Landscape and Metastability of Curie-Weis-Potts Model
Jungkyoung Lee
In this paper, we thoroughly analyze the energy landscape of the Curie-Weiss-Potts model, which is a ferromagnetic spin system consisting of q 3 spins defined on complete gra…
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…