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math-ph2005★ 1 cited
Random discrete Schrödinger operators from Random Matrix Theory
Jonathan Breuer, Peter J. Forrester, Uzy Smilansky
We investigate random, discrete Schrödiner operators which arise naturally in the theory of random matrices, and depend parametrically on Dyson's Coulomb gas inverse temperature $β…
math-ph2000
Combinatorial Identities from the Spectral Theory of Quantum Graphs
Holger Schanz, Uzy Smilansky
We present a few combinatorial identities which were encountered in our work on the spectral theory of quantum graphs. They establish a new connection between the theory of random…