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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2005 Volume 5, Number 3, Pages 523–536 (Mi mmj209)

This article is cited in 5 papers

Anderson–Bernoulli models

J. Bourgain

Institute for Advanced Study, School of Mathematics

Abstract: We prove the exponential localization of the eigenfunctions of the Anderson model in $\mathbb R^d$ in the regime of large coupling constant for the random potentials which values are independent and Bernoulli distributed.

Key words and phrases: Anderson localization, random Bernoulli potential.

MSC: 82B44 (60H25, 81Q10, 82B10)

Received: July 4, 2005

Language: English

DOI: 10.17323/1609-4514-2005-5-3-523-536



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