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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Hausdorff dimension of harmonic measures on negatively curved manifolds
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by Yuri Kifer and François Ledrappier PDF
Trans. Amer. Math. Soc. 318 (1990), 685-704 Request permission

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 well. We end with the results concerning the Hausdorff dimension of harmonic measures on universal covers of compact negatively curved manifolds.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 318 (1990), 685-704
  • MSC: Primary 58G32; Secondary 60J60
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0951889-7
  • MathSciNet review: 951889