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Birkhoff and Lyapunov Spectra on Planar Self-affine Sets

Balázs Bárány, Thomas Jordan, Antti Käenmäki, Michał Rams

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Source: Crossref

Published: Jan 24, 2020

DOI: 10.1093/imrn/rnz359

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Source 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.

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Birkhoff and Lyapunov Spectra on Planar Self-affine Sets — Mathematical Frontier Network