3 papers
math.PR2026
Growing open Markovian Jackson networks: Fluid limit and infinite-dimensional Skorokhod problem
Louis T. Clarke, Guodong Pang, Ruoyu Wu
We study growing open Jackson networks where each station is a single-server queue that follows the first-come first-served discipline with Poisson arrivals and exponentially distr…
math.PR2025
Marginal dynamics of probabilistic cellular automata on trees
Daniel Lacker, Kavita Ramanan, Ruoyu Wu
We study locally interacting processes in discrete time, often called probabilistic cellular automata, indexed by locally finite graphs. For infinite regular trees and certain gene…
math.PR2025
Probabilistic cellular automata with local transition matrices: synchronization, ergodicity, and inference
Erhan Bayraktar, Fei Lu, Mauro Maggioni +2
We introduce a new class of probabilistic cellular automata that are capable of exhibiting rich dynamics such as synchronization and ergodicity and can be easily inferred from data…