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Spectral determinant on graphs with generalized boundary conditions

Jean Desbois
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Abstract

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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Jean Desbois. 2001-09-20. Spectral determinant on graphs with generalized boundary conditions. https://doi.org/10.1007/s100510170013

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