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A finite dimensional approach to Bramham’s approximation theorem

A finite dimensional approach to Bramham’s approximation theorem

Using pseudoholomorphic curve techniques from symplectic geometry, Barney Bramham proved recently that every smooth irrational pseudo-rotation of the unit disk is the limit, for the C 0 topology, of a sequence of smooth periodic diffeomorphisms. We give here a finite dimensional proof of this result that works in the case …