Open Access
October, 2017 Multifractal Analysis for Maps with the Gluing Orbit Property
Xiang Shao, Zheng Yin
Taiwanese J. Math. 21(5): 1099-1113 (October, 2017). DOI: 10.11650/tjm/7946

Abstract

In this paper, we obtain a conditional variational principle for the topological entropy of level sets of Birkhoff averages for maps with the gluing orbit property. Our result can be easily extended to flows.

Citation

Download Citation

Xiang Shao. Zheng Yin. "Multifractal Analysis for Maps with the Gluing Orbit Property." Taiwanese J. Math. 21 (5) 1099 - 1113, October, 2017. https://doi.org/10.11650/tjm/7946

Information

Received: 30 October 2016; Revised: 30 December 2016; Accepted: 3 January 2017; Published: October, 2017
First available in Project Euclid: 1 August 2017

zbMATH: 06871360
MathSciNet: MR3707885
Digital Object Identifier: 10.11650/tjm/7946

Subjects:
Primary: 37B40 , 37C45

Keywords: gluing orbit property , Variational principle

Rights: Copyright © 2017 The Mathematical Society of the Republic of China

Vol.21 • No. 5 • October, 2017
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