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Energy level statistics, lattice point problems, and almost modular forms

Mathematical Physics & Probability

Speaker: Jens Marklof, University of Bristol, UK
Location: 693 Kerr
Start time: Tue, Apr 29 2003, 3:10PM

One of the central observations of quantum chaology is that statistical properties of quantum spectra exhibit suprisingly universal features, which seem to mirror the chaotic or regular dynamical properties of the underlying classical limit. I will report on recent studies of simple regular systems, where the investigation leads to subtle lattice point counting problems.