Random walks on homogeneous spaces and Diophantine approximation on fractals

DOI10.1007/s00222-019-00856-7zbMath1454.22009arXiv1611.05899OpenAlexW2549449408WikidataQ128530384 ScholiaQ128530384MaRDI QIDQ2417968

Barak Weiss, David Simmons

Publication date: 31 May 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05899

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Discrete subgroups of Lie groups (22E40) Fractals (28A80)

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The distribution of rational numbers on Cantor's middle thirds set, A note on dyadic approximation in Cantor's set, An improved convergence case for Diophantine approximations on IFS fractals, Expanding measures: Random walks and rigidity on homogeneous spaces, Intrinsic Diophantine approximation for overlapping iterated function systems, Mahler's question for intrinsic Diophantine approximation on triadic Cantor set: the divergence theory, How long is the chaos game?, Random walks, spectral gaps, and Khintchine's theorem on fractals, Markov random walks on homogeneous spaces and Diophantine approximation on fractals, Dynamics on the space of 2-lattices in 3-space, Singular vectors on fractals and projections of self-similar measures, Quantitative rational approximation on spheres

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