Dmitry Turaev: "Boundaries of attractors of diffeomorphisms subject to a bounded diffusive noise."

mardi 17 déc. 2024, 14:00 → 15:00 Europe/Paris

435 (UMPA)

We show that the unit normal bundle of a smooth boundary of an attractor for random dynamical systems of a certain natural class is a Legendrian invariant manifold of a deterministic map which preserves a contact structure. In this framework, random dynamics can be described and analyzed by purely deterministic means.