Streaming Colloquium Vadim Kaloshin (2/12/2015, 15:30)

We announce that the COLLOQUIUM at the Department of Mathematics, University of Roma Tor Vergata, by Prof. Vadim Kaloshin, University of Maryland (USA), will be available on Wednesday, December 2, at 15:30, live on streaming at

https://www.youtube.com/watch?v=qVLqwZFvUU4

The title of the talk is:

“Stochastic Arnold diffusion in deterministic systems and celestial mechanics”.

This will be our first attempt to make colloquia on streaming; we apologize in advance for any unforeseen problem.

Below is the abstract of the talk.

Abstract: In 1964, V. Arnold constructed an example of a nearly integrable deterministic system exhibiting instabilities. In the 1970s, physicist B. Chirikov coined the term for this phenomenon Arnold diffusion where diffusion refers to stochastic nature of instability. One of the most famous examples of stochastic instabilities for nearly integrable systems is dynamics of Asteroids in Kirkwood gaps in the Asteroid belt. They were discovered numerically by astronomer J. Wisdom.  During the talk we describe a class of nearly integrable deterministic systems, where we prove stochastic diffusive behaviour. Namely, we show that distributions given by deterministic evolution of certain random initial conditions weakly converge to a diffusion process. This result is conceptually different from known mathematical results, where existence of iffusing orbitss shown. This work is based on joint papers with O. Castejon, M. Guardia, J. Zhang, and K. Zhang.