Birkhoff and Lyapunov spectra on planar self-affine sets

Balázs Bárány; Thomas Jordan; Antti Käenmäki; Michał Rams

doi:10.1093/imrn/rnz359

Birkhoff and Lyapunov spectra on planar self-affine sets

Balázs Bárány, Thomas Jordan, Antti Käenmäki, Michał Rams

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal)

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.

Original language	English
Article number	rnz359
Number of pages	40
Journal	International Mathematics Research Notices
DOIs	https://doi.org/10.1093/imrn/rnz359
Publication status	Published - 24 Jan 2020

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Bárány, B., Jordan, T., Käenmäki, A., & Rams, M. (2020). Birkhoff and Lyapunov spectra on planar self-affine sets. International Mathematics Research Notices, [rnz359]. https://doi.org/10.1093/imrn/rnz359

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AU - Rams, Michał

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