Non-conformal repellers and the continuity of pressure for matrix cocycles

DOI10.1007/s00039-014-0274-7zbMath1317.37035arXiv1311.4241OpenAlexW3104203799MaRDI QIDQ484086

De-Jun Feng, Pablo Shmerkin

Publication date: 18 December 2014

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4241

zbMATH Keywords

Lyapunov spectrumdimension theory of dynamical systemsself-affine setpressure functioniterate function systemsub-additive pressure function

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

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