Equilibrium states of generalised singular value potentials and applications to affine iterated function systems
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Publication:2324615
DOI10.1007/s00039-018-0447-xzbMath1420.37016arXiv1710.04499OpenAlexW2963999149MaRDI QIDQ2324615
Publication date: 11 September 2019
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.04499
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)
Related Items (14)
Some observations on K\"aenm\"aki measures ⋮ On affine iterated function systems which robustly admit an invariant affine subspace ⋮ Eigenvalue gaps for hyperbolic groups and semigroups ⋮ A convex analysis approach to entropy functions, variational principles and equilibrium states ⋮ Fast approximation of the affinity dimension for dominated affine iterated function systems ⋮ Quasi-multiplicativity of typical cocycles ⋮ Dimension of invariant measures for affine iterated function systems ⋮ A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures ⋮ Bernoulli property of subadditive equilibrium states ⋮ The weak Bernoulli property for matrix Gibbs states ⋮ Totally ergodic generalised matrix equilibrium states have the Bernoulli property ⋮ A strongly irreducible affine iterated function system with two invariant measures of maximal dimension ⋮ On the spectral radius of compact operator cocycles ⋮ Dimension spectrum of infinite self-affine iterated function systems
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