Ergodic theory of Kusuoka measures

DOI10.4171/JFG/49zbMath1381.37022arXiv1506.03037MaRDI QIDQ2398032

Anders Öberg, Mark Pollicott, Anders Johansson

Publication date: 14 August 2017

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

Full work available at URL: https://arxiv.org/abs/1506.03037

zbMATH Keywords

quasi-compactnesstransfer operator\(g\)-measureKusuoka measureenergy Laplacian

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants (28D20) Fractals (28A80) Symbolic dynamics (37B10)

Related Items (10)

Ergodic properties of matrix equilibrium states ⋮ Hausdorff dimensions for graph-directed measures driven by infinite rooted trees ⋮ Harmonic embeddings of the stretched Sierpinski gasket ⋮ Non-degeneracy of the harmonic structure on Sierpiński gaskets ⋮ Counting periodic orbits on fractals weighted by their Lyapounov exponents ⋮ Recurrence times, waiting times and universal entropy production estimators ⋮ Cheeger's energy on the harmonic Sierpinski gasket ⋮ The weak Bernoulli property for matrix Gibbs states ⋮ Another point of view on Kusuoka's measure ⋮ The Kusuoka measure and the energy Laplacian on level-\(k\) Sierpiński gaskets

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