14 citations · 60 across the 12 of their papers we have counts for
10 papers · 1 filter
Condensation and metastability in the supercritical two-species zero-range process via resolvent and -approximation
Seonwoo Kim, Seungchan Lee
In this article, we investigate the two-species zero-range process, a multi-species generalization of the classical zero-range process. First, we analyze its condensation regime, w…
Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization
Seonwoo Kim
In this article, we study the hierarchical structure of metastability in the reversible inclusion process. We fully characterize the third time scale of metastability subject to an…
Spectral gap of the symmetric inclusion process
Seonwoo Kim, Federico Sau
We consider the symmetric inclusion process on a general finite graph. Our main result establishes universal upper and lower bounds for the spectral gap of this interacting particl…
Approximation method to metastability: an application to non-reversible, two-dimensional Ising and Potts models without external fields
Seonwoo Kim, Insuk Seo
The main contribution of the current study is two-fold. First, we investigate the energy landscape of the Ising and Potts models on finite two-dimensional lattices without external…
Metastability of the three-state Potts model with general interactions
Gianmarco Bet, Anna Gallo, Seonwoo Kim
We consider the Potts model on a two-dimensional periodic rectangular lattice with general coupling constants , where are the possible spin values (or c…
Metastability of Ising and Potts models without external fields in large volumes at low temperatures
Seonwoo Kim, Insuk Seo
In this article, we investigate the energy landscape and metastable behavior of the Ising and Potts models on two-dimensional square or hexagonal lattices in the low temperature re…
Metastability of Blume-Capel model with zero chemical potential and zero external field
Seonwoo Kim
In this study, we investigate the metastable behavior of Metropolis-type Glauber dynamics associated with the Blume-Capel model with zero chemical potential and zero external field…
Energy Landscape and Metastability of Stochastic Ising and Potts Models on Three-dimensional Lattices Without External Fields
Seonwoo Kim, Insuk Seo
In this study, we investigate the energy landscape of the Ising and Potts models on fixed and finite but large three-dimensional (3D) lattices where no external field exists and qu…
Second Time Scale of the Metastability of Reversible Inclusion Processes
Seonwoo Kim
We investigate the second time scale of the metastable behavior of the reversible inclusion process in an extension of the study by [Bianchi, Dommers, and Giardinà, Electronic Jour…
Condensation and Metastable Behavior of Non-reversible Inclusion Processes
Seonwoo Kim, Insuk Seo
In this article, we perform quantitative analyses of metastable behavior of an interacting particle system known as the inclusion process. For inclusion processes, it is widely bel…