Dimension maximizing measures for self-affine systems

DOI10.1090/tran/7103zbMath1458.28003arXiv1507.02829OpenAlexW2964295961MaRDI QIDQ4588224

Michał Rams, Balázs Bárány

Publication date: 1 November 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02829

zbMATH Keywords

Hausdorff dimensionself-affine measuresself-affine sets

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (12)

Some observations on K\"aenm\"aki measures ⋮ Fast approximation of the affinity dimension for dominated affine iterated function systems ⋮ Ledrappier-Young formula and exact dimensionality of self-affine measures ⋮ Dimension of invariant measures for affine iterated function systems ⋮ An explicit formula for the pressure of box-like affine iterated function systems ⋮ The Lq$L^q$ spectrum of self‐affine measures on sponges ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension ⋮ Planar self-affine sets with equal Hausdorff, box and affinity dimensions ⋮ On the dimension of triangular self-affine sets ⋮ Equilibrium states of generalised singular value potentials and applications to affine iterated function systems ⋮ Typical absolute continuity for classes of dynamically defined measures

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