Hausdorff dimension of harmonic measures on negatively curved manifolds

Yuri Kifer; Francois Ledrappier

doi:10.1090/S0002-9947-1990-0951889-7

Hausdorff dimension of harmonic measures on negatively curved manifolds

Yuri Kifer
, Francois Ledrappier

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We show by probabilistic means that harmonic measures on manifolds, whose curvature is sandwiched between two negative constants have positive Hausdorff dimensions. A lower bound for harmonic measures of open sets is derived, as we l. We end with the results concerning the Hausdorff dimension of harmonic measures on universal covers of compact negatively curved manifolds.

Original language	English
Pages (from-to)	685-704
Number of pages	20
Journal	Transactions of the American Mathematical Society
Volume	318
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1990-0951889-7
State	Published - Apr 1990

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Hausdorff dimension of harmonic measures on negatively curved manifolds

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