Projections of Poisson cut-outs in the Heisenberg group and the visual 3-sphere

DOI10.1017/S0305004121000177zbMath1480.60020arXiv1812.00731OpenAlexW3135632344WikidataQ109931474 ScholiaQ109931474MaRDI QIDQ5019793

Ville Suomala, Laurent Dufloux

Publication date: 11 January 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00731

zbMATH Keywords

projectionsHeisenberg groupPoisson cut-out sets

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Sub-Riemannian geometry (53C17) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• Local entropy averages and projections of fractal measures
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• On the geometry of random Cantor sets and fractal percolation
• Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric
• Hausdorff dimension of limit sets
• On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions
• Projections of random Cantor sets
• The effect of projections on dimension in the Heisenberg group
• A proof of Furstenberg's conjecture on the intersections of \(\times p\)- and \(\times q\)-invariant sets
• Random cutout sets with spatially inhomogeneous intensities
• Random Fractals Generated by Random Cutouts
• Patterns in random fractals
• A Class of Random Cantor Measures, with Applications
• Spatially independent martingales, intersections, and applications
• The Geometry of Fractal Percolation
• Renewal sets and random cutouts
• Intégration

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