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Maass, Alejandro; Martínez, Servet; Pivato, Marcus and Yassawi, Reem
(2006).
DOI: https://doi.org/10.1017/S0143385706000216
Abstract
Let M = ND be the positive orthant of a D-dimensional lattice and let (G, +) be a finite abelian group. Let G ⊆ GM be a subgroup shift, and let µ be a Markov random field whose support is G. Let � : G−→G be a linear cellular automaton. Under broad conditions on G, we show that the Cesaro average N−1 �N−1 n=0 �n(µ) converges to a measure of maximal entropy for the shift action on G.
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- Item ORO ID
- 67103
- Item Type
- Journal Item
- Academic Unit or School
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Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2006 Cambridge University Press
- Depositing User
- Reem Yassawi