Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Eizenberg, Alex
Institution: Azrieli College of Engineering Jerusalem
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416696394
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