Birkhoff and Lyapunov Spectra on Planar Self-affine Sets-Reference-Cited by-同舟云学术

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Birkhoff and Lyapunov Spectra on Planar Self-affine Sets

Published:2020-01-24 Issue:10 Volume:2021 Page:7966-8005
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Bárány Balázs¹,Jordan Thomas²,Käenmäki Antti³,Rams Michał⁴

Affiliation:

1. MTA-BME Stochastics Research Group, Department of Stochastics, Budapest University of Technology and Economics, P.O. Box 91, 1521 Budapest, Hungary

2. School of Mathematics, University of Bristol, Bristol BS8 1SN, UK

3. Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland

4. Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-656 Warsaw, Poland

Abstract

Abstract Working on strongly irreducible planar self-affine sets satisfying the strong open set condition, we calculate the Birkhoff spectrum of continuous potentials and the Lyapunov spectrum.

Funder

OTKA

NKFI

János Bolyai Research Scholarship of the Hungarian Academy of Sciences

Finnish Center of Excellence in Analysis and Dynamics Research

Finnish Academy of Science and Letters

Väisälä Foundation

National Science Centre

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/10/7966/37934990/rnz359.pdf

Reference29 articles.

1. Uniformly hyperbolic finite-valued $\textrm{SL}\left(2,\mathbb{R}\right)$-cocycles;Avila;Comment. Math. Helv.,2010

2. Hausdorff dimension of planar self-affine sets and measures;Bárány;Invent. Math.,2019

3. Dimension maximizing measures for self-affine systems;Bárány;Trans. Amer. Math. Soc.,2018

4. Multifractal analysis of Birkhoff averages on ‘self-affine’ symbolic spaces;Barral;Nonlinearity,2008

5. Multifractal analysis for Lyapunov exponents on nonconformal repellers;Barreira;Comm. Math. Phys.,2006

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Entropy Spectrum of Lyapunov Exponents for Typical Cocycles;Journal of Dynamics and Differential Equations;2024-07-20

2. Lyapunov Spectrum Properties and Continuity of the Lower Joint Spectral Radius;Journal of Statistical Physics;2022-04-15

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