Author

Insuk Seo

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Preprint Oct 2026

Gamma Expansions of Level Two Large Deviation Rate Functionals for Metastable Diffusions

Consider the diffusions $dX_t^\varepsilon=b(X_t^\varepsilon)dt+\sqrt{2\varepsilon}\sigma(X_t^\varepsilon)dB_t$ on $\mathbb{R}^d$, where $b$ and $\sigma$ are smooth coefficients and $B_t$ is an $r$-dimensional Brownian motion, with $r\le d$. We allow nonreversible dynamics and a degenerate diffusion matrix. Let $\mathca...

Donghyun Kim, Insuk Seo · 0 citations

Preprint Oct 2026

Large deviations for additive functionals of one-dimensional zero-range processes

We prove a large deviation principle for additive functionals of local Lipschitz functions of a one-dimensional symmetric zero-range process on the diffusive scale. The rate function is obtained from the dynamical large deviation principle for the empirical density and is characterized by a variational constraint invol...

Insuk Seo, K. Tsunoda · 0 citations

Preprint Sep 2026

Facilitated Exclusion Process in Higher Dimensions: Recurrent Structure and Transient Dynamics

In this article, we study the facilitated exclusion process (FEP) on the $d$-dimensional discrete torus of side length $N$, with $d\ge2$. For Bernoulli initial data with a fixed density $\rho\in(0,1)$, we first prove that, with high probability, the particle-number sector selected by the initial configuration has a uni...

Seonwoo Kim, Sanha Lee, Insuk Seo · 0 citations