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On an invariant measure for homeomorphisms of a circle with a point of break

โœ Scribed by A. A. Dzhalilov; K. M. Khanin


Publisher
Springer US
Year
1998
Tongue
English
Weight
556 KB
Volume
32
Category
Article
ISSN
0016-2663

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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