The Lyapunov Spectrum Is Not Always Concave |
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| Authors: | Godofredo Iommi and Jan Kiwi |
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| Affiliation: | 1.Facultad de Matemáticas,Pontificia Universidad Católica de Chile,Santiago,Chile |
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| Abstract: | We characterize one-dimensional compact repellers having non-concave Lyapunov spectra. For linear maps with two branches we give an explicit condition that characterizes non-concave Lyapunov spectra. The first author was partially supported by Proyecto Fondecyt 11070050. Both authors were partially supported by Research Network on Low Dimensional Systems, PBCT/CONICYT, Chile. |
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| Keywords: | Lyapunov spectrum Thermodynamics formalism Expanding linear maps |
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