Seonwoo Kim

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math.PR2025

Metastable Hierarchy in Abstract Low-Temperature Lattice Models

Seonwoo Kim

In this article, we review the metastable hierarchy in low-temperature lattice models. In the first part, we state that for any abstract lattice system governed by a Hamiltonian po…

math.PR2025

$I^$ -expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains

Seonwoo Kim, Claudio Landim

Consider a sequence of continuous-time Markov chains $(X_{t}^{(n)} : t \geq 0)$ evolving on a fixed finite state space $V$ . Let $I_{n}$ be the measure-current large deviations rate functio…

math.PR2024

Metastable hierarchy in abstract low-temperature lattice models: an application to Kawasaki dynamics for Ising lattice gas with macroscopic number of particles

Seonwoo Kim

This article is divided into two parts. In the first part, we study the hierarchical phenomenon of metastability in low-temperature lattice models in the most general setting. Give…

Metastable Hierarchy in Abstract Low-Temperature Lattice Models

I^-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains

Metastable hierarchy in abstract low-temperature lattice models: an application to Kawasaki dynamics for Ising lattice gas with macroscopic number of particles

$I^$ -expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains