Dimension via Waiting time and Recurrence
动力系统
2007-05-23 v2
摘要
Quantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point in a decreasing sequence of neighborhoods of another point . It is proved that these recurrence indicators are a.e. greater or equal to the local dimension at , then these recurrence indicators can be used to have a numerical upper bound on the local dimension of an invariant measure.
关键词
引用
@article{arxiv.math/0309223,
title = {Dimension via Waiting time and Recurrence},
author = {S. Galatolo},
journal= {arXiv preprint arXiv:math/0309223},
year = {2007}
}
备注
This replace the previous version. New recent references are added