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Birkhoff and Lyapunov spectra on planar self-affine sets

Authors :
Bárány, Balázs
Jordan, Thomas
Käenmäki, Antti
Rams, Michał
Publication Year :
2018

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.<br />Comment: 32 pages, 1 figure

Subjects

Subjects :
Mathematics - Dynamical Systems
Primary 28A80, Secondary 37L30, 37D35, 28D20

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1805.08004
Document Type :
Working Paper

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