Graduate Student / Postdoc Seminar

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Dispersing Billiards and the Heat Equation

Speaker: Peter Nandori

Location: Warren Weaver Hall 1302

Date: Friday, March 6, 2015, 1 p.m.

Synopsis:

Dispersing billiard or Sinai billiard is one of the very few physical systems where chaos is well understood (see the laudation for Sinai's Abel prize in 2014). In the talk, we will briefly review the fascinating results of dispersing billiards. Then I will report on some endeavors for deriving heat equation from large billiard type systems in two toy models: for the distribution of mass when energy is fixed (joint work with D. Dolgopyat) and the evolution of the energy when mass is fixed (joint work with P. Balint, I.P. Toth, D. Szasz).