5 papers
One- and two-particle spectral gap identities for the symmetric inclusion process and related models
Seonwoo Kim, Federico Sau
The symmetric inclusion process (SIP) models particles diffusing on a graph with mutual attraction. We recently showed that, in the log-concave regime (where diffusivity dominates…
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…
Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs
Seonwoo Kim, Matteo Quattropani, Federico Sau
We present a simple strategy to derive universal bounds on the spectral gap of reversible stochastic exchange models on arbitrary graphs. The Kipnis-Marchioro-Presutti (KMP) model,…