Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure
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Publication:2334610
DOI10.1007/s00039-019-00510-7zbMath1427.37018arXiv1906.07323OpenAlexW2969714015MaRDI QIDQ2334610
Yun Zhao, Ya. B. Pesin, Yong-Luo Cao
Publication date: 7 November 2019
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.07323
Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)
Related Items (22)
The approximation of uniform hyperbolicity for \(C^1\) diffeomorphisms with hyperbolic measures ⋮ Dimension estimates for iterated function systems and repellers. Part II ⋮ Inverse pressure for finitely generated semigroups ⋮ Dimension approximation for diffeomorphisms preserving hyperbolic SRB measures ⋮ Quasi-multiplicativity of typical cocycles ⋮ A variational principle for weighted topological pressure under -actions ⋮ Measures of maximal and full dimension for smooth maps ⋮ Bernoulli property of subadditive equilibrium states ⋮ Topological pressure of free semigroup actions for non-compact sets and Bowen's equation. I ⋮ Dimension approximation in smooth dynamical systems ⋮ Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems ⋮ Nonexistence of the box dimension for dynamically invariant sets ⋮ Dimension estimates for iterated function systems and repellers. Part I ⋮ Topological pressure of free semigroup actions for non-compact sets and Bowen's equation. II ⋮ Lower bounds on the dimension of the Rauzy gasket ⋮ -spectra of measures on planar non-conformal attractors ⋮ On generalized compensation functions for factor maps between shift spaces on countable alphabets ⋮ Thermodynamic formalism of \(\mathrm{GL}_2(\mathbb{R})\)-cocycles with canonical holonomies ⋮ Dimensions of \(C^1\)-average conformal hyperbolic sets ⋮ On the joint continuity of topological pressures for sub-additive singular-valued potentials ⋮ Continuity of sub-additive topological pressure with matrix cocycles * ⋮ Ledrappier-Young formulae for a family of nonlinear attractors
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