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Self‐adjoint and Markovian extensions of infinite quantum graphs

Self‐adjoint and Markovian extensions of infinite quantum graphs

We investigate the relationship between one of the classical notions of boundaries for infinite graphs, \emph{graph ends}, and self-adjoint extensions of the minimal Kirchhoff Laplacian on a metric graph. We introduce the notion of \emph{finite volume} for ends of a metric graph and show that finite volume graph ends is …