# Some technical details accompanying the Colloquium on Thursday Oct. 31.

## Meeting Details

Abstract: Every completely integrable Hamiltonian system of dim>2 admits arbitrarily $C^{\infty}$ small perturbations which are entropy non-expansive, that is, they have positive metric entropy and furthermore positive entropy is generated in arbitrarily small tubular neighborhoods of single trajectories (joint with D. Chen and S. Ivanov).