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Young Seminar
Organizers: Douglas Lundholm (IHP) & Julien Sabin (Cergy)

 

Trinh Tuan Phong (Paris 13): "The decorrelation estimate for a 1D lattice Hamiltonian with off-diagonal disorder"
Wednesday 03 July 2013, 15:30 - 16:30
Amphi Darboux

 

Abstract: We consider a lattice Hamiltonian with off-diagonal disorder in dimension 1. For this model, it is well known that the weak limit of a local level statistic near a positive energy in the localized regime is a Poisson point process. In this talk, we would like to show more that if we consider local level statistics near n positive, distinct energies in the localized regime for any n ≥ 2, they converge weakly to independent Poisson point processes. The key point in proving that kind of result is a so-called decorrelation estimate for the eigenvalues near two distinct energies in the localized regime.

 

 

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