4 papers
An infinite-dimensional Skorokhod problem with a diagonalization approach
Louis T. Clarke, Guodong Pang, Ruoyu Wu
We study an infinite-dimensional Skorokhod problem on the positive cone of , where a regulator process constrains a free càdlàg path to remain nonnegative through an ob…
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…
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…
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…