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Statistics of Wave Functions for a Point Scatterer on the Torus

✍ Scribed by Zeév Rudnick, Henrik Ueberschär


Book ID
118780891
Publisher
Springer
Year
2012
Tongue
English
Weight
296 KB
Volume
316
Category
Article
ISSN
0010-3616

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We give two combinatorial proofs of Franks' Theorem, that an area preserving torus homeomorphism with mean rotation zero has a fixed point. The first proof uses Lax's version of the Marriage Theorem. The second proof uses Euler's Theorem on circuits in graphs and an explicit method of Alpern for dec