28 citations · 146 across the 36 of their papers we have counts for
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math.DS2010★ 4 cited
Lyapunov spectrum for exceptional rational maps
Katrin Gelfert, Feliks Przytycki, Michal Rams +1
We study the dimension spectrum for Lyapunov exponents for rational maps acting on the Riemann sphere and characterize it by means of the Legendre-Fenchel transform of the hidden v…
math.DS2010★ 3 cited
The maximal entropy measure detects non-uniform hyperbolicity
Juan Rivera-Letelier
We characterize two of the most studied non-uniform hyperbolicity conditions for rational maps, semi-hyperbolicity and the topological Collet-Eckmann condition, in terms of the max…
math.DS2010★ 12 cited
Statistical properties of one-dimensional maps under weak hyperbolicity assumptions
Juan Rivera-Letelier, Weixiao Shen
For a real or complex one-dimensional map satisfying a weak hyperbolicity assumption, we study the existence and statistical properties of physical measures, with respect to geomet…