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A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space

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Publication:1038851
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DOI10.1214/ECP.v13-1350zbMath1189.60094MaRDI QIDQ1038851

Vincent Le Prince

Publication date: 20 November 2009

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229738


zbMATH Keywords

entropyhyperbolic spaceharmonic measurerandom walkdrift


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Entropy and other invariants (28D20) Hyperbolic groups and nonpositively curved groups (20F67) Hausdorff and packing measures (28A78)


Related Items

The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups ⋮ Matrix random products with singular harmonic measure ⋮ Dimension of harmonic measures in hyperbolic spaces



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