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Bassam Fayad: On stability of elliptic fixed points and tori in Hamiltonian dynamics

Tid: On 2017-11-15 kl 13.15

Plats: F11

Medverkande: Bassam Fayad, CNRS, IMJ-PRG

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We discuss the stability (or instability) of an equilibrium in Hamiltonian dynamics from various points of view: the classical Lyapunov stability or topological stability, the stability from a probabilistic point of view addressed by KAM theory, or the effective stability that measures the time spent by solutions that start close to the equilibrium in a neighborhood of the equilibrium.

This is an analysis colloquium style talk.