Metastability and time scales for parabolic equations with drift 1: the first time scale
Consider the elliptic operator given by 0.1 L ε f= b·∇ f+ ε Δ f for some smooth vector field b: R
d→ R d and a small parameter ε> 0. Consider the initial-valued problem 0.2∂ tu ε= L ε u ε, u …
d→ R d and a small parameter ε> 0. Consider the initial-valued problem 0.2∂ tu ε= L ε u ε, u …
Quasi-stationary distribution for kinetic SDEs with low regularity coefficients
We consider kinetic SDEs with low regularity coefficients in the setting recently introduced in
[6]. For the solutions to such equations, we first prove a Harnack inequality. Using the …
[6]. For the solutions to such equations, we first prove a Harnack inequality. Using the …
Profile cut-off phenomenon for the ergodic Feller root process
G Barrera, L Esquivel - Stochastic Processes and their Applications, 2025 - Elsevier
The present manuscript is devoted to the study of the convergence to equilibrium as the
noise intensity ɛ> 0 tends to zero for ergodic random systems out of equilibrium driven by …
noise intensity ɛ> 0 tends to zero for ergodic random systems out of equilibrium driven by …
Information-theoretic classification of the cutoff phenomenon in Markov processes
Y Wang, MCH Choi - arXiv preprint arXiv:2407.06982, 2024 - arxiv.org
We investigate the cutoff phenomenon for Markov processes under information divergences
such as $ f $-divergences and R\'enyi divergences. We classify most common divergences …
such as $ f $-divergences and R\'enyi divergences. We classify most common divergences …
Mixing of metastable diffusion processes with Gibbs invariant distribution
J Lee - arXiv preprint arXiv:2407.06383, 2024 - arxiv.org
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-called …
possess a Gibbs invariant distribution. For systems with multiple stable equilibria, so-called …
A \emph{}-convergence of level-two large deviation for metastable systems: The case of zero-range processes
K Choi - arXiv preprint arXiv:2405.10631, 2024 - arxiv.org
This study explores the relationship between the precise asymptotics of the level-two large
deviation rate function and the behavior of metastable stochastic systems. Initially identified …
deviation rate function and the behavior of metastable stochastic systems. Initially identified …