Characterization of hyperbolic potentials

2010/06/25 by Irene Inoquio-Renteria, Inoquio-Renteria, Irene
Mathematics · Physics and Astronomy · #Analytic and geometric function theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS

paper · pdf · doi:10.48550/arxiv.1006.5043

This paper has been withdrawn due to upload of another version of it as a new preprint

openalex publication_date 2010/06/25 · arxiv created 2011/09/04 · arxiv updated 2011/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a rational map f and a Hölder continuous potential ϕ satisfying supϕ< P(f,ϕ) the uniqueness and stochastic properties of the corresponding equilibrium states have been extensively studied. For a given rational map f, in this paper we characterize those Hölder continuous potentials ϕ for which this property is satisfied for some iterate of f.

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