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math.DS2008★ 14 cited
The Lyapunov spectrum is not always concave
Godofredo Iommi, Jan Kiwi
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…
math.DS2008★ 4 cited
Multifractal analysis of Lyapunov exponent for the backward continued fraction map
Godofredo Iommi
In this note we study the multifractal spectrum of Lyapunov exponents for interval maps with infinitely many branches and a parabolic fixed point. It turns out that, in strong cont…