Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
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🧮 math.FA
math-phmath.MPmath.SP
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laplaciansessentialgraphsabsencebasicdirichletdiscussequation
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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.
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