Birkhoff and Lyapunov spectra on planar self-affine sets

Balázs Bárány,Thomas Jordan,Antti Käenmäki,Michał Rams

Birkhoff and Lyapunov spectra on planar self-affine sets

2018

Balázs Bárány
Thomas Jordan
Antti Käenmäki
Michał Rams

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.

Keywords:

Mathematical analysis
Affine transformation
Open set
Lyapunov function
Mathematics
Planar
Spectral line
Topology
lyapunov spectrum

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