On t-conformal measures and Hausdorff dimension for a family of non-uniformly hyperbolic horseshoes

DOI10.1017/S0143385708000941zbMath1210.37030OpenAlexW2133906434MaRDI QIDQ3650304

Isabel Rios, Renaud Leplaideur

Publication date: 14 December 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385708000941

zbMATH Keywords

Hausdorff dimensionhorseshoesconformal measure

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35)

Related Items (7)

Renormalization, thermodynamic formalism and quasi-crystals in subshifts ⋮ Kupka–Smale diffeomorphisms at the boundary of uniform hyperbolicity: a model ⋮ Thermodynamic formalism for a family of non-uniformly hyperbolic horseshoes and the unstable Jacobian ⋮ Thermodynamic formalism for interval maps: inducing schemes ⋮ Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps ⋮ Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation ⋮ Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties

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