The Hausdorff dimension of conformal repellers under random perturbation

DOI10.1088/0951-7715/12/5/307zbMath0953.37010OpenAlexW2026653474MaRDI QIDQ4719513

Gunter Ochs, Thomas Bogenschütz

Publication date: 1 February 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/44d7b55eddbfa2ba0c6776f8516f4a28dc7be925

zbMATH Keywords

stochastic stabilityrandom perturbationrandom dynamical systemHausdorff dimensionsconformal repellerpressure functionalBowen-Ruelle formula

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodicity, mixing, rates of mixing (37A25) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (9)

The multifractal analysis of Birkhoff averages for conformal repellers under random perturbations ⋮ VARIATIONAL PRINCIPLE FOR SUBADDITIVE SEQUENCE OF POTENTIALS IN BUNDLE RANDOM DYNAMICAL SYSTEMS ⋮ Critically finite random maps of an interval ⋮ On the topological pressure of random bundle transformations in sub-additive case ⋮ Dimensions of random average conformal repellers ⋮ Thermodynamic formalism for random non-uniformly expanding maps ⋮ Stability of Hausdorff dimension of Axiom A attractors under random perturbations ⋮ THE HAUSDORFF DIMENSION OF HORSESHOES UNDER RANDOM PERTURBATIONS ⋮ Continuity of sub-additive topological pressure with matrix cocycles ^*

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