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Ergodicity Versus Non-Ergodicity for Probabilistic Cellular Automata on Rooted Trees

Kimura, B; Ruszel, W; Spitoni, C

Kimura, B (reprint author), Delft Univ Technol, Delft Inst Appl Math, Van Mourilk Broekmanweg 6, NL-2628 XE Delft, Netherlands.

MARKOV PROCESSES AND RELATED FIELDS, 2019; 25 (2): 189

Abstract

In this article we study a class of shift-invariant and positive rate probabilistic cellular automata (PCAs) on rooted d-regular trees T-d. In a first......

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