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Twist points of the von Koch snowflake |
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| Authors: | Fausto Di Biase Bert Fischer Rü diger L. Urbanke |
| Affiliation: | Department of Mathematics, Princeton University, Princeton, New Jersey 08544 ; Department of Mathematics, Princeton University, Princeton, New Jersey 08544 ; Room 2C-254, Bell Labs, Lucent Technologies, 600 Mountain Avenue, Murray Hill, New Jersey 07974 |
| 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. |
| Keywords: | Harmonic measure von Koch snowflake doubling property shift ergodicity twist points |
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