Integrable Systems, Analysis and Probability Seminar
Friday, November 21, 2003, 4:00pm, 120 Physics
Stanislav Molchanov (UNC Charlotte, Dept of Mathematics)
Spectral bifurcations in the large random systems
Abstract:
The talk will contain the review of the recent results on the spectral properties of the self-adjoint operators associated with the random perturbations of the Hamiltonian of the graphs (such as the complete graph of the hypercube in the high dimension). In particular, we will discuss the spectra of Ad() for the random subgraphs of the graphs with high degrees of the vertices.

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