Twist points of the von Koch snowflake
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- by Fausto Di Biase, Bert Fischer and Rüdiger L. Urbanke
- Proc. Amer. Math. Soc. 126 (1998), 1487-1490
- DOI: https://doi.org/10.1090/S0002-9939-98-04226-9
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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.References
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Bibliographic 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