Tel Aviv University, Colloquium
Monday, 24/12/2012, 12:15, Schreiber 006
Speaker: Igor Wigman (King's College, London)
Title: Nodal length fluctuations for arithmetic random waves.
The abstract is given below. Tea and coffee at 12:00, same room.
Hope to see you there. For information about future colloquia, see
Abstract: Using the spectral multiplicities of the standard torus,
we endow the Laplace eigenspaces with Gaussian probability measures.
This induces a notion of random Gaussian Laplace eigenfunctions on
the torus  <(‚~@~\arithmetic> random  <waves‚~@~]).> We study the distribution
of the nodal length of random eigenfunctions for large eigenvalues,
and our primary result is that the asymptotics for the variance is
non-universal, and is intimately related to the arithmetic of lattice
points lying on a circle with radius corresponding to the energy.
This work is joint with Manjunath Krishnapur and Par Kurlberg.
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
Announcement from:  <>