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4 papers · 1 filter
Universality in Random Matrix Theory for orthogonal and symplectic ensembles
Percy Deift, Dimitri Gioev
We give a proof of the Universality Conjecture for orthogonal and symplectic ensembles of random matrices in the scaling limit for a class of weights w(x)=exp(-V(x)) where V is a p…
Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians
Alexander Elgart, Benjamin Schlein
The adiabatic charge transport is investigated in a two dimensional Landau model perturbed by a bounded potential at zero temperature. We show that if the Fermi level lies in a spe…
Janossy Densities I. Determinantal Ensembles
Alexei Borodin, Alexander Soshnikov
We derive an elementary formula for Janossy densities for determinantal point processes with a finite rank projection-type kernel. In particular, for beta=2 polynomial ensembles of…
Adiabatic charge pumping in open quantum systems
J. E. Avron, A. Elgart, G. M. Graf +2
We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian…