马尔可夫子群上线性细胞自动机 Haar 测度的吸引性
动力系统
2007-05-23 v1 一般拓扑
摘要
对于代数细胞自动机在马尔可夫子群上的作用，我们证明马尔可夫测度迭代的 Cesàro 均值收敛到 Haar 测度。这是利用二项式系数的组合学以及马尔可夫测度的再生构造来证明的。
引用
@article{arxiv.math/0608222,
title = {Attractiveness of the Haar measure for linear cellular automata on Markov subgroups},
author = {Alejandro Maass and Servet Mart\'{ı}nez and Marcus Pivato and Reem Yassawi},
journal= {arXiv preprint arXiv:math/0608222},
year = {2007}
}
备注
Published at http://dx.doi.org/10.1214/074921706000000130 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)