Jungkyoung Lee

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20232026

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6 papers · 1 filter

math.PR2026

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…

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.PR2024

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.PR2024

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 $b : R^{d} \to R^{d}$ and $ε > 0$ , and the initial-valued probl…

math.PR2023

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 $L_{ε} f = b \cdot \nabla f + ε Δ f$ for some smooth vector field $b : R^{d} \to R^{d}$ and a small parameter $ε>0…