A strongly irreducible affine iterated function system with two invariant measures of maximal dimension

DOI10.1017/etds.2020.107zbMath1477.28007arXiv1905.08299OpenAlexW3094998503WikidataQ114119418 ScholiaQ114119418MaRDI QIDQ5156796

Ian D. Morris, Cagri Sert

Publication date: 12 October 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08299

zbMATH Keywords

iterated function systemequilibrium stateself-affine setnon-conformal repellersubadditive thermodynamic formalism

Mathematics Subject Classification ID

Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (2)

A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures ⋮ Expanding measures: Random walks and rigidity on homogeneous spaces

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