The link between the shape of the Aubry-Mather sets and their Lyapunov exponents

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220651We consider the irrational Aubry-Mather sets of an exact symplectic monotone twist map and explain what is the link between the Lyapunov exponents and the shape of such a set. The main tools that we use in the proofs are the so-called Green bundles.Dynamical Systems37C05; 37C40; 37D25; 37E40The link between the shape of the Aubry-Mather sets and their Lyapunov exponentstext