1. Birkhoff and Lyapunov Spectra on Planar Self-affine Sets
- Author
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Thomas Jordan, Antti Käenmäki, Balázs Bárány, and Michał Rams
- Subjects
Lyapunov function ,Pure mathematics ,Mathematics::Dynamical Systems ,General Mathematics ,010102 general mathematics ,Spectrum (functional analysis) ,Open set ,Dynamical Systems (math.DS) ,01 natural sciences ,Spectral line ,symbols.namesake ,Planar ,Primary 28A80, Secondary 37L30, 37D35, 28D20 ,0103 physical sciences ,FOS: Mathematics ,symbols ,010307 mathematical physics ,Affine transformation ,Mathematics - Dynamical Systems ,0101 mathematics ,Mathematics ,Lyapunov spectrum - 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., Comment: 32 pages, 1 figure
- Published
- 2020
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