4 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 \[ d\boldsym…
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…