4 papers · 2 filters
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 freezing time estimates for the subcritical Facilitated Exclusion Process
Oriane Blondel, Clément Erignoux, Seonwoo Kim +1
We investigate the exact transience time of the Facilitated Exclusion Process (FEP) on the one-dimensional torus with sites. The FEP exhibits an active/inactive phase transitio…
Convergence of the Condensing Symmetric Inclusion Process on the Torus in the Thermodynamical Limit to Coalescing Brownian Motions
Seonwoo Kim, Claudio Landim
We investigate the saturation regime of the condensing symmetric inclusion process on the discrete one-dimensional torus in the thermodynamical limit. In this regime, the total mas…
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…