2 papers
math.PR2025
Diffusive Scaling limit of stochastic Box-Ball systems and PushTASEP
David Keating, Minjun Kim, Eva Loeser +1
We introduce the Stochastic Box-Ball System (SBBS), a probabilistic cellular automaton that generalizes the classic Takahashi-Satsuma Box-Ball System. In SBBS, particles are transp…
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…