A Characterization of hyperbolic potentials of rational maps

Details A Characterization of hyperbolic potentials of rational maps A Characterization of hyperbolic potentials of rational maps

2011-09-03

arxiv.org/abs/1109.0646v1

Mathematics

Dynamical Systems

A throughout revision of the first version, incorporating a new author, a more precise title, a new section devoted to hyperbo

Scientific paper

Consider a rational map $f$ of degree at least 2 acting on its Julia set $J(f)$, a H\"older continuous potential $\phi: J(f)\rightarrow \R$ and the pressure $P(f,\phi). In the case where $\sup_{J(f)}\phi

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