27 citations · 166 across the 39 of their papers we have counts for
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math.FA2012★ 5 cited
A note on self-adjoint extensions of the Laplacian on weighted graphs
Xueping Huang, Matthias Keller, Jun Masamune +1
We study the uniqueness of self-adjoint and Markovian extensions of the Laplacian on weighted graphs. We first show that, for locally finite graphs and a certain family of metrics,…
math.FA2012★ 19 cited
Volume growth and bounds for the essential spectrum for Dirichlet forms
Sebastian Haeseler, Matthias Keller, Radosław K. Wojciechowski
We consider operators arising from regular Dirichlet forms with vanishing killing term. We give bounds for the bottom of the (essential) spectrum in terms of exponential volume gro…