Asymptotic action and asymptotic winding number for area-preserving diffeomorphisms of the disk
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Abstract Given a compactly supported area-preserving diffeomorphism of the disk, we prove an integral formula relating the asymptotic action to the asymptotic winding number. As a corollary, we obtain a new proof of Fathi’s integral formula for the Calabi homomorphism on the disk.
2011 ◽
Vol 20
(10)
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pp. 1397-1417
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1982 ◽
Vol 43
(2)
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pp. 189-195
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1995 ◽
Vol 10
(08)
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pp. 1219-1236
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1990 ◽
Vol 21
(6)
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pp. 1550-1562
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