Jungkyoung Lee

activity

20242026

collaborators

5 papers

math.PR2026

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…

math.PR2025

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 $U : R^{d} \to R$ with finitely many critical points, and consider the solution of the stochastic differential equation \[ d\boldsym…

math.PR2025

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…

math.PR2025

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 \[ \mathscr{L}_Îµf=b\cdot\nabla f+ÎµÎf \] for some smooth vector field $b : R^{d} \to R^{d}$ and $I^µ > 0$ , and the initial-valued p…

math.PR2024

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 $L_{I^} µ f = b \cdot \nabla f + I^µ I^ f$ for some smooth vector field $b : R^{d} \to R^{d}$ and a small parameter $…