SCIENTIFIC ACTIVITIES

September  1, 2014

THE FIELDS INSTITUTE
FOR RESEARCH IN MATHEMATICAL SCIENCES
20th ANNIVERSARY YEAR

FIELDS 20th ANNIVERSARY
Back2Fields COLLOQUIUM SERIES
September 26, 2012 at 3:30p.m.
Fields Institute, (map)


Ke Zhang

University of Toronto
Fields Ontario Postdoctoral Fellow 2010-12
during the Thematic Program on Dynamics and Transport in Disordered Systems

Instabilities in Hamiltonian systems and Arnold diffusion(presentation)

The strongest conjecture concerning instabilities of Hamiltonian systems, the quasi-ergodic hypothesis, is wide open. A less difficult question, called Arnold diffusion, asks whether a typical nearly integrable system exhibit real topological instability. We review some background, and describe a proof of Arnold diffusion in two and half degrees of freedom. Our approach is based on normally hyperbolic cylinders and Mather variational method, based on joint works with P. Bernard and V. Kaloshin.


The Back2Fields Colloquium Series celebrates the accomplishments of former postdoctoral fellows of Fields Institute thematic programs. Over the past two decades, these programs attracted the rising stars of their field and often launches very distinguished research careers. As part of the 20th anniversary celebrations, this series of colloquium talks will allow the general mathematical public to become familiar with some of their work.

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