arXiv:1101.2979 Abstract | arXiv Analytics

arXiv:1101.2979 [math.FA]Abstract References Reviews Resources

Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation

Published 2011-01-15Version 1

We discuss Laplacians on graphs in a framework of regular Dirichlet forms. We focus on phenomena related to unboundedness of the Laplacians. This includes (failure of) essential selfadjointness, absence of essential spectrum and stochastic incompleteness.

Categories: math.FA, math-ph, math.MP, math.SP

Keywords: basic spectral properties, heat equation, unbounded laplacians, regular dirichlet forms, stochastic incompleteness

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