The Donsker–Varadhan Action Functional for Probabilistic Cellular Automata
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.
Authors
- Alexander Eizenberg
Institutions
- Azrieli College of Engineering Jerusalem (IL)
Publication Details
- Journal
- Markov Processes And Related Fields
- Published
- 2026-10-30
- DOI
- https://doi.org/10.61102/1024-2953-mprf.2026.32.3.002
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00