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) › peer-review

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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
Volume	0
DOIs	https://doi.org/10.1093/imrn/rnz359
Publication status	Published - 24 Jan 2020

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10.1093/imrn/rnz359

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Dr Thomas M Jordan
- Thomas.Jordan@bristol.ac.uk
- Probability, Analysis and Dynamics
- School of Mathematics - Senior Lecturer in Pure Mathematics
- Pure Mathematics
- Ergodic theory and dynamical systems
Person: Academic , Member

Cite this

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title = "Birkhoff and Lyapunov spectra on planar self-affine sets",

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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AU - Käenmäki, Antti

AU - Rams, Michał

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U2 - 10.1093/imrn/rnz359

DO - 10.1093/imrn/rnz359

M3 - Article (Academic Journal)

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

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Birkhoff and Lyapunov spectra on planar self-affine sets

Abstract

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Dr Thomas M Jordan

Cite this