Estimating singularity dimension

DOI10.1017/S030500411400053XzbMath1371.28010OpenAlexW2130205145MaRDI QIDQ5360302

Mark Pollicott, Polina Vytnova

Publication date: 28 September 2017

Full work available at URL: https://doi.org/10.1017/s030500411400053x

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (8)

An inequality for the matrix pressure function and applications ⋮ Fast approximation of the affinity dimension for dominated affine iterated function systems ⋮ Pointwise regularity of parameterized affine zipper fractal curves ⋮ An explicit formula for the pressure of box-like affine iterated function systems ⋮ Planar self-affine sets with equal Hausdorff, box and affinity dimensions ⋮ AFFINE MAURER–CARTAN INVARIANTS AND THEIR APPLICATIONS IN SELF-AFFINE FRACTALS ⋮ Effective estimates on the top Lyapunov exponents for random matrix products ⋮ Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices

Cites Work

• Maximal Lyapunov exponents for random matrix products
• The Ruelle-Araki transfer operator in classical statistical mechanics
• Domains of analytic continuation for the top Lyapunov exponent
• Zeta-functions for expanding maps and Anosov flows
• Hausdorff dimension for an open class of repellers in
• The Hausdorff dimension of self-affine fractals
• Hausdorff dimension and conformal dynamics, III: Computation of dimension
• Measure and dimension for some fractal families
• Falconer's formula for the Hausdorff dimension of a self-affine set in R²
• Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
• Produits tensoriels topologiques et espaces nucléaires

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