2025/09/01 by Alexander Eizenberg, Eizenberg, Alex
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Stochastic processes and statistical mechanics #Opinion Dynamics and Social Influence
paper · pdf · doi:10.48550/arxiv.2509.01745
From the perspective of the large deviations theory of occupational measures, the paper considers Probabilistic Cellular Automata (PCA) as Markov chains on infinite dimensional space. It turns out that for a wide range of PCA, the corresponding Donsker-Varadhan action functional yields values other than infinity only on a narrow class of probability measures.