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arxiv: 0812.1936 · v1 · pith:NH3ZHTH4new · submitted 2008-12-10 · 🧮 math.DS

The Lyapunov spectrum is not always concave

classification 🧮 math.DS
keywords lyapunovspectraalwaysbranchescharacterizecharacterizescompactconcave
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We characterize one-dimensional compact repellers having nonconcave Lyapunov spectra. For linear maps with two branches we give an explicit condition that characterizes non-concave Lyapunov spectra.

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