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.
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