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

Lenz, D (Jena)
Wednesday 28 July 2010, 10:30-11.15

Seminar Room 1, Newton Institute


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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