39 citations · 123 across the 23 of their papers we have counts for
5 papers · 1 filter
Spectral reciprocity and matrix representations of unbounded operators
Palle E. T. Jorgensen, Erin P. J. Pearse
Motivated by potential theory on discrete spaces, we study a family of unbounded Hermitian operators in Hilbert space which generalize the usual graph-theoretic discrete Laplacian.…
Resistance boundaries of infinite networks
Palle E. T. Jorgensen, Erin P. J. Pearse
A resistance network is a connected graph . The conductance function weights the edges, which are then interpreted as conductors of possibly varying strengths. The…
Gel'fand triples and boundaries of infinite networks
Palle E. T. Jorgensen, Erin P. J. Pearse
We study the boundary theory of a connected weighted graph from the viewpoint of stochastic integration. For the Hilbert space \HE of Dirichlet-finite functions on , we cons…
A Hilbert space approach to effective resistance metric
Palle E. T. Jorgensen, Erin P. J. Pearse
A resistance network is a connected graph . The conductance function weights the edges, which are then interpreted as conductors of possibly varying strengths. The…
A discrete Gauss-Green identity for unbounded Laplace operators and transience of random walks
Palle E. T. Jorgensen, Erin P. J. Pearse
A resistance network is a connected graph . The conductance function weights the edges, which are then interpreted as resistors of possibly varying strengths. The r…