3 papers
math.PR2025
Classification for dynamics of Markov chains on non-negative integers with arbitrary transition rates and its application
Minjun Kim, Seokhwan Moon, Jinsu Kim
Continuous-time Markov chains on non-negative integers can be used for modeling biological systems, population dynamics, and queueing models. Qualitative behaviors of birth-and-dea…
q-bio.QM2024
A reaction network model of microscale liquid-liquid phase separation reveals effects of spatial dimension
Jinyoung Kim, Sean D. Lawley, Jinsu Kim
Proteins can form droplets via liquid-liquid phase separation (LLPS) in cells. Recent experiments demonstrate that LLPS is qualitatively different on two-dimensional (2d) surfaces…
math.PR2024
Boundary-induced slow mixing for Markov chains and its application to stochastic reaction networks
Wai-Tong Louis Fan, Jinsu Kim, Chaojie Yuan
Markov chains on the non-negative quadrant of dimension are often used to model the stochastic dynamics of the number of entities, such as chemical species in stochasti…