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Unbounded Laplacians on graphs: Basic spectral properties and the heat equation

Wednesday 28th July 2010 - 10:30 to 11:15
INI Seminar Room 1
We discuss Laplacians on graphs in a framework of regular Dirichlet forms. We focus on phenomena related to unboundedness of the Laplacians. In particular, we provide criteria for essential selfadjointness, empty essential spectrum and stochastic incompleteness. (Joint work with Matthias Keller).
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons