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math-ph2008★ 48 cited
Generalized eigenvalue-counting estimates for the Anderson model
Jean-Michel Combes, François Germinet, Abel Klein
We generalize Minami's estimate for the Anderson model and its extensions to eigenvalues, allowing for arbitrary intervals and arbitrary single-site probability measures wi…
math.PR2008
On the singularity of random matrices with independent entries
Laurent Bruneau, Francois Germinet
We consider n by n real matrices whose entries are non-degenerate random variables that are independent but non necessarily identically distributed, and show that the probability t…