Dimension estimates in nonconformal hyperbolic dynamics*

DOI10.1088/0951-7715/16/5/307zbMath1116.37305OpenAlexW2037939879MaRDI QIDQ4466384

Luis Barreira

Publication date: 9 June 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/07094bcf761af10041889708ea022c5a7c3d5072

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

Related Items (13)

DIMENSIONAL CHARACTERISTICS OF THE NONWANDERING SETS OF OPEN BILLIARDS ⋮ Dimension estimates beyond conformal and hyperbolic dynamics ⋮ Multifractal analysis for Lyapunov exponents on nonconformal repellers ⋮ Quasi-multiplicativity of typical cocycles ⋮ Dimension estimates for iterated function systems and repellers. Part I ⋮ Dimension estimates in non-conformal setting ⋮ Dimension estimates in smooth dynamics: a survey of recent results ⋮ On the topological pressure of random bundle transformations in sub-additive case ⋮ Dimensions of random average conformal repellers ⋮ The dimensions of a non-conformal repeller and an average conformal repeller ⋮ A dynamical dimension transference principle for dynamical Diophantine approximation ⋮ ALMOST ADDITIVE THERMODYNAMIC FORMALISM: SOME RECENT DEVELOPMENTS ⋮ Dimension Estimates for C 1 Iterated Function Systems and C 1 Repellers, a Survey

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