On Bernoulli decomposition of random variables and recent various applications
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2007-2008), Exposé no. 9, 12 p.

In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.

Germinet, François 1

1 Univ Cergy-Pontoise, CNRS, IUF, Département de Mathématiques, F-95000 Cergy-Pontoise, France
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Germinet, François. On Bernoulli decomposition of random variables and recent various applications. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2007-2008), Exposé no. 9, 12 p. http://archive.numdam.org/item/SEDP_2007-2008____A9_0/

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