对称子移位系统的拓扑与遍历性质
动力系统
2014-04-22 v2
摘要
本文研究了由序列 给出的双符号对称单向子移位族。我们分析了它们的一些拓扑性质，如传递性、指定性质 (specification property) 和内禀遍历性。结果表明，该族中几乎每个成员仅拥有一个最大熵测度。
引用
@article{arxiv.1306.2054,
title = {Topological and Ergodic properties of symmetric subshifts},
author = {Rafael Alcaraz Barrera},
journal= {arXiv preprint arXiv:1306.2054},
year = {2014}
}
备注
30 pages. V2 is a shortened version of V1. Proposition 3.1 and Lemma 3.2 were included to clarify the connection between beta expansions and attractors of the doubling map with a centred symmetric hole