A Characterization of hyperbolic potentials of rational maps

Irene Inoquio-Renteria, Juan Rivera-Letelier

Consider a rational map $f$ of degree at least 2 acting on its Julia set $J(f)$, a Hölder continuous potential $\varphi :J(f)\to \mathbb{R}$ and the pressure $P(f,\varphi ).Inthecasewhere$…