Jacopo De Simoi - Homepage

Presentation

I am currently professor at the University of Toronto
My research focuses on stochastic and ergodic properties of smooth and piecewise smooth dynamical systems; Hamiltonian systems; coexistence of elliptic and chaotic behavior; Fermi acceleration; KAM theory; Billiard dynamics

Elliptic islands in the Standard Map

Singularity set of the sawtooth map

The sawtooth map is a piecewise linear automorphism of the two-dimensional torus; this picture illustrates the singularity set in the elliptic parameter regime.

PDF

Push-forward of densities along center manifolds

In this picture we push forward a flat density (on the bottom horizontal line) along center manifolds (which are roughly aligned to the oblique stripes). The resulting density (on the top horizontal line) features huge oscillations.

High-res picture

Presentation

Contact information