Uniform bounds for diffeomorphisms of the torus and a conjecture of Boyland
Uniform bounds for diffeomorphisms of the torus and a conjecture of Boyland
We consider C 1 + ϵ diffeomorphisms of the torus, denoted by f , homotopic to the identity and whose rotation sets have non-empty interior. We give some uniform bounds on the displacement of points in the plane under iterates of a lift of f , relative to vectors in …