Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Positive metric entropy in nearly integrable Hamiltonian systems
Speaker: Sergei Ivanov, Steklov Institute of Mathematics at St.Petersburg
Date: November 23, 2020
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The celebrated Kolmogorov-Arnold-Moser (KAM) theorem asserts that a small perturbation of an integrable Hamiltonian system preserves the quasi-periodicity of trajectories on a set of large measure. The question remains: how chaotic the system's behavior can be on the remaining "small" set? I will speak on a recent result of Dima Burago, Dong Chen and myself saying that every integrable system can be perturbed so that the resulting Hamiltonian system has positive measure-theoretic entropy.
Title of Talk: Positive metric entropy in nearly integrable Hamiltonian systems
Speaker: Sergei Ivanov, Steklov Institute of Mathematics at St.Petersburg
Date: November 23, 2020
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The celebrated Kolmogorov-Arnold-Moser (KAM) theorem asserts that a small perturbation of an integrable Hamiltonian system preserves the quasi-periodicity of trajectories on a set of large measure. The question remains: how chaotic the system's behavior can be on the remaining "small" set? I will speak on a recent result of Dima Burago, Dong Chen and myself saying that every integrable system can be perturbed so that the resulting Hamiltonian system has positive measure-theoretic entropy.