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arXiv 2001-09-20 DOI 10.1007/s100510170013 0 views

Spectral determinant on graphs with generalized boundary conditions

Desbois, Jean

Original · EN

The spectral determinant of the Schrödinger operator (- Δ+ V(x)) on a graph is computed for general boundary conditions. (Δ is the Laplacian and V(x) is some potential defined on the graph). Applications to restricted random walks on graphs are discussed.

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