The case of equality in the dichotomy of Mohammadi-Oh

DOI10.4171/JFG/80zbMath1440.37010arXiv1701.04555OpenAlexW2978923697WikidataQ109747046 ScholiaQ109747046MaRDI QIDQ2286620

Laurent Dufloux

Publication date: 22 January 2020

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

Full work available at URL: https://arxiv.org/abs/1701.04555

zbMATH Keywords

ergodicityrecurrenceBowen-Margulis-Sullivan measureBurger-Roblin measureBesicovitch projection theoremergodic geometry

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Length, area, volume, other geometric measure theory (28A75) Relations between ergodic theory and harmonic analysis (37A46)

Cites Work

• Unnamed Item
• Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
• Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
• Hausdorff dimension of limit sets
• Projections of Patterson-Sullivan measures and the dichotomy of Mohammadi-Oh
• The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension

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