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Spectral properties and trace formulae for quantum graphs with general self-adjoint boundary conditions

Monday 2nd April 2007 - 10:00 to 11:00
INI Seminar Room 1

We consider general self-adjoint realisations of the Laplacian on a compact metric graph and study their spectral properties. We prove a trace formula that expresses the spectral density in terms of a sum over periodic orbits on the graph.

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