Dimensions of equilibrium measures on a class of planar self-affine sets

DOI10.4171/JFG/85zbMath1492.37033arXiv1706.06833OpenAlexW2964251760MaRDI QIDQ2176597

Yanyan Li

Publication date: 5 May 2020

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06833

zbMATH Keywords

self-affine setsexact dimensionalquasi-Bernoulli measuresLedrappier-Young formulaKäenmäki measure

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Fractals (28A80) Dynamical systems involving maps of trees and graphs (37E25) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

Dimension of invariant measures for affine iterated function systems ⋮ A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ Ledrappier-Young formulae for a family of nonlinear attractors

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