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
 <http://www.math.tau.ac.il/~ostrover/colloquium/colloq2012.html>
 
Yours,
Yaron
 
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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.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <ostrover@post.tau.ac.il>