[CvGmt News] Annuncio di Colloquium - Prof. Vadim Kaloshin (2 dicembre 2015 ore 15:30)

[Alfonso Sorrentino]

COLLOQUIUM DI MATEMATICA

DIPARTIMENTO DI MATEMATICA
UNIVERSITA' DI ROMA TOR VERGATA


Mercoledi' 2 Dicembre 2015 ORE 15:30  (Aula Dal Passo)


Prof. Vadim Kaloshin
University of Maryland (USA)

Titolo: Stochastic Arnold diffusion in deterministic systems and celestial
mechanics.

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 “diffusing orbits” is shown. This work is based on joint
papers with O. Castejon, M. Guardia, J. Zhang, and K. Zhang.


Al termine del colloquium è previsto un rinfresco nell'atrio vicino
all'Aula Dal Passo.

Per maggiori informazioni, contattare: sorrentino at mat.uniroma2.it
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