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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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Twist points of the von Koch snowflake
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by Fausto Di Biase, Bert Fischer and Rüdiger L. Urbanke PDF
Proc. Amer. Math. Soc. 126 (1998), 1487-1490 Request permission

Abstract:

It is known that the set of twist points in the boundary of the von Koch snowflake domain has full harmonic measure. We provide a new, simple proof, based on the doubling property of the harmonic measure, and on the existence of an equivalent measure, invariant and ergodic with respect to the shift.
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Additional Information
  • Fausto Di Biase
  • Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
  • Email: biase@math.princeton.edu
  • Bert Fischer
  • Email: fischer@math.princeton.edu
  • Rüdiger L. Urbanke
  • Affiliation: Room 2C-254, Bell Labs, Lucent Technologies, 600 Mountain Avenue, Murray Hill, New Jersey 07974
  • Email: ruediger@research.bell-labs.com
  • Received by editor(s): November 1, 1996
  • Additional Notes: The first author was supported by CNR Grants 203.01.55 and 203.01.63.
    The second author was partially supported by the Alexander von Humboldt Foundation.
  • Communicated by: Albert Baernstein II
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 1487-1490
  • MSC (1991): Primary 31A15, 30C35
  • DOI: https://doi.org/10.1090/S0002-9939-98-04226-9
  • MathSciNet review: 1443822