Lyapunov spectrum for exceptional rational maps

DOI10.5186/aasfm.2013.3849zbMath1316.37020arXiv1012.2593OpenAlexW2963719987MaRDI QIDQ2860888

Juan Rivera-Letelier, Feliks Przytycki, Katrin Gelfert, Michał Rams

Publication date: 11 November 2013

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2593

zbMATH Keywords

pressureLyapunov exponentsLegendre transformLyapunov spectrumrational mapsconformal measuresexceptional rational maps

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

Related Items (10)

Entropy of irregular points for some dynamical systems ⋮ The thermodynamic approach to multifractal analysis ⋮ Characteristic Exponents of Rational Functions ⋮ Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics ⋮ On the spherical derivative of a rational function ⋮ Geometric pressure for multimodal maps of the interval ⋮ The groupoid \(C^\ast\)-algebra of a rational map ⋮ Lyapunov exponents and related concepts for entire functions ⋮ Thermodynamic formalism for interval maps: inducing schemes ⋮ Lyapunov exponents for non-ergodic meromorphic functions

This page was built for publication: Lyapunov spectrum for exceptional rational maps