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math.FA2011★ 1 cited
After the Explosion: Dirichlet Forms and Boundary Problems for Infinite Graphs
Robert Carlson
Formal Laplace operators are analyzed for a large class of resistance networks with vertex weights. The graphs are completed with respect to the minimal resistance path metric. Com…
math.AP2011
Dirichlet to Neumann Maps for Infinite Quantum Graphs
Robert Carlson
The Dirichlet problem and Dirichlet to Neumann map are analyzed for elliptic equations on a large collection of infinite quantum graphs. For a dense set of continuous functions on…