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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…
math.PR2007★ 21 cited
On Bernoulli Decompositions for Random Variables, Concentration Bounds, and Spectral Localization
Michael Aizenman, Francois Germinet, Abel Klein +1
As was noted already by A. N. Kolmogorov, any random variable has a Bernoulli component. This observation provides a tool for the extension of results which are known for Bernoulli…