A lower bound for Hausdorff dimensions of harmonic measures on negatively curved manifolds

Yuri Kifer

doi:10.1007/BF02773752

A lower bound for Hausdorff dimensions of harmonic measures on negatively curved manifolds

Yuri Kifer^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

Employing the methods of [KL], a lower bound for Hausdorff dimension of harmonic measures on negatively curved manifolds is derived yielding, in particular, that if the curvature tends to a constant then the above Hausdorff dimension tends to the dimension of the sphere at infinity.

Original language	English
Pages (from-to)	339-348
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	71
Issue number	3
DOIs	https://doi.org/10.1007/BF02773752
State	Published - Oct 1990

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abstract = "Employing the methods of [KL], a lower bound for Hausdorff dimension of harmonic measures on negatively curved manifolds is derived yielding, in particular, that if the curvature tends to a constant then the above Hausdorff dimension tends to the dimension of the sphere at infinity.",

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A lower bound for Hausdorff dimensions of harmonic measures on negatively curved manifolds

Abstract

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