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Maass, Alejandro; Martínez, Servet; Pivato, Marcus and Yassawi, Reem
(2006).
DOI: https://doi.org/10.1214/lnms/1196285812
Abstract
For the action of an algebraic cellular automaton on a Markov subgroup, we show that the Cesàro mean of the iterates of a Markov measure converges to the Haar measure. This is proven by using the combinatorics of the binomial coefficients on the regenerative construction of the Markov measure.
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About
- Item ORO ID
- 67102
- Item Type
- Book Section
- ISBN
- 0-940600-64-1, 978-0-940600-64-5
- Keywords
- cellular automata; maximal entropy measure; Markov measures; algebraic topological Markov chain
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2006 Institute of Mathematical Statistics
- Depositing User
- Reem Yassawi