Dimension of harmonic measures in hyperbolic spaces

研究成果: Article査読

2 被引用数 (Scopus)

抄録

We show the exact dimensionality of harmonic measures associated with random walks on groups acting on a hyperbolic space under a finite first moment condition, and establish the dimension formula by the entropy over the drift. We also treat the case when a group acts on a non-proper hyperbolic space acylindrically. Applications of this formula include continuity of the Hausdorff dimension with respect to driving measures and Brownian motions on regular coverings of a finite volume Riemannian manifold.

本文言語English
ページ(範囲)474-499
ページ数26
ジャーナルErgodic Theory and Dynamical Systems
39
2
DOI
出版ステータスPublished - 2019 2 1

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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