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A characterization of hyperbolic potentials of rational maps
Authors:Irene Inoquio-Renteria  Juan Rivera-Letelier
Institution:1. Departamento de Matem??tica, ICMC/USP, S?o Carlos, Caixa Postal 668, 13560-970, S?o Carlos, SP, Brazil
2. Facultad de Matem??ticas, Pontificia Universidad Cat??lica de Chile, Avenida Vicu?a Mackenna, 4860, Santiago, Chile
Abstract:Consider a rational map f of degree at least 2 acting on its Julia set J(f), a H?lder continuous potential φ: J(f) → ℝ and the pressure P(f,φ). In the case where
supJ(f) f < P(f,f),\mathop {\sup }\limits_{J(f)} \phi < P(f,\phi ),
Keywords:
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