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Random Matrix Theory and Arithmetic Aspects of Quantum Chaos

28th June 2004 to 2nd July 2004

Organisers: J Marklof (Bristol), F Mezzadri (Bristol) and Z Rudnick (Tel Aviv).

Supported by the European Commission, Sixth Framework Programme - Marie Curie Conferences and Training Courses - MSCF-CT-2003-503674

Workshop Theme

One of the main objectives of quantum chaos is the understanding of how the ergodic properties of classical Hamiltonian systems affect the behaviour of the eigenfunctions and spectra of the corresponding quantum mechanics in the semiclassical limit. Some of the main open problems concern the equidistribution of all eigenstates in phase space (quantum unique ergodicity) and the statistical distributions of the energy levels. The workshop will focus on the study of quantum systems in a natural number-theoretic setting, which have provided ground for the most recent advances towards the solutions of many outstanding problems in quantum chaos.

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons