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arXiv · 2003.05225

Asymptotic action and asymptotic winding number for area-preserving diffeomorphisms of the disk

David Bechara Senior
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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.

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David Bechara Senior. 2020-08-11. Asymptotic action and asymptotic winding number for area-preserving diffeomorphisms of the disk. https://arxiv.org/abs/2003.05225

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