声明
Contents
摘要
Abstract
Chapter 1 Introduction
§1．1 Introduction of Poincaré recurrence and Multifractal analysis
§1．2 Main results
Chapter 2 Multifractal analysis of local entropies for a-weighted entropy
§2．1 The definitions of a-weighted entropy
§2．2 (a，q，μ)-entropy of non-compact or non-invariant sets，weighted entropy doubling condition
§2．3 Proof of the main result
Chapter 3 Ornstein-Weiss theorem for r-ball
§3．1 Preliminaries
§3．2 Ornstein-Weiss theorem for r-ball
Chapter 4 Poincaré recurrence and a-weighted entropy
§4．1 Return times to a-weighted partition and a-weighted entropy
§4．2 Return times to a-weighted Bowen ball and a-weighted entropy
Bibliography
致谢
