Jean-Pierre Marco

16Twist maps and Arnold diffusion for diffeomorphisms

Jean-Pierre Marco, Université Paris 6 (UMR 7586), 4 Place Jussieu, 75005 Paris cedex 05, jeanpierre. marco@imj-prg.fr

Abstract: We investigate a diffusion problem in the group of Cκ symplectic diffeomorphisms of the annulus 𝔸2,with compact support contained in 𝕋2×I2,where I is a fixed interval containing [0, 1] in its interior. We endow κ with the uniform Cκ topology.

Let (θ, r) be the usual angle-action coordinates on 𝔸2. We say that a diffeomorphism in κ satisfies the ...

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