Birkhoff and Lyapunov Spectra on Planar Self-affine Sets
| Autor: | Thomas Jordan, Antti Käenmäki, Balázs Bárány, Michał Rams |
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| Rok vydání: | 2020 |
| Předmět: |
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 |
| Zdroj: | Bárány, B, Jordan, T, Käenmäki, A & Rams, M 2020, ' Birkhoff and Lyapunov spectra on planar self-affine sets ', International Mathematics Research Notices, vol. 0, rnz359 . https://doi.org/10.1093/imrn/rnz359 |
| ISSN: | 1687-0247 1073-7928 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
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