Mathematisches Institut, Friedrich Schiller Universität Jena D-07743 Jena, Germany
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.
(Online publication May 12 2010)
Mathematics Subject Classification: