2 papers
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
Tractable description of hydrodynamic limits of a class of interacting jump processes on sparse graphs
Juniper Cocomello, Michel Davydov, Kavita Ramanan
We consider dynamics of the empirical measure of vertex neighborhood states of Markov interacting jump processes on sparse random graphs, in a suitable asymptotic limit as the grap…