SMS scnews item created by Daniel Daners at Tue 26 May 2015 1300
Type: Seminar
Distribution: World
Expiry: 2 Jun 2015
Calendar1: 2 Jun 2015 1400-1500
CalLoc1: AGR Carslaw 829
Auth: (ddan2237) in SMS-WASM

PDE Seminar

Quantum Ergodicity for Mixed Systems


Sean Gomes
Australian National University
Tue 2 June 2-3pm, Carslaw 829 (AGR)


A cornerstone result in the field of quantum chaos is the quantum ergodicity theorem, which asserts that the Laplacian eigenfunctions of a compact manifold with ergodic Hamiltonian flow satisfy a certain notion of equidistribution in the high energy limit.

In this talk I will discuss the conjectured generalisation of this result to systems with multiple invariant subsets of positive measure, and in particular my recent work which establishes this conjecture for a family of mushroom billiards.

Check also the PDE Seminar page. Enquiries to Daniel Hauer or Daniel Daners.