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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Weak form of equidistribution theorem for harmonic measures of foliations by hyperbolic surfaces
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by Shigenori Matsumoto PDF
Proc. Amer. Math. Soc. 144 (2016), 1289-1297 Request permission

Abstract:

We show that the equidistribution theorem of C. Bonatti and X. Gómez-Mont for a special kind of foliations by hyperbolic surfaces does not hold in general, and we seek a weaker form valid for general foliations by hyperbolic surfaces.
References
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Additional Information
  • Shigenori Matsumoto
  • Affiliation: Department of Mathematics, College of Science and Technology, Nihon University, 1-8-14 Kanda, Surugadai, Chiyoda-ku, Tokyo, 101-8308 Japan
  • MR Author ID: 214791
  • ORCID: 0000-0002-5851-7235
  • Email: matsumo@math.cst.nihon-u.ac.jp
  • Received by editor(s): January 12, 2015
  • Published electronically: November 18, 2015
  • Additional Notes: The author was partially supported by Grant-in-Aid for Scientific Research (C) No. 25400096.
  • Communicated by: Kevin Whyte
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 1289-1297
  • MSC (2010): Primary 53C12; Secondary 57R30
  • DOI: https://doi.org/10.1090/proc/12852
  • MathSciNet review: 3447679