PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.

Title:An example of nearly integrable Hamiltonian system with a trajectory dense in a set of almost maximal Hausdorff dimension
Seminar:Center for Dynamics and Geometry Seminars
Speaker:V. Kaloshin, Maryland
Abstract:
In his ICM'98 talk Herman stated the following old problem: Construct an example of a nearly integrable Hamiltonian system with a dense orbit on an energy surface. During the talk departing we shall describe an example of a nearly integrable Hamiltonian system with an orbit dense in a set of an almost maximal Hausdorff dimension. Construction of this example relies on ideas of an example of Arnold diffusion due to the author and M. Levi, described in the seminar on September 15. This is a joint work with M. Levi and M. Saprykina.

Room Reservation Information

Room Number:MB106
Date:09 / 29 / 2008
Time:03:30pm - 05:30pm