Geodesic
Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators
Leonid Parnovski1 ; Roman Shterenberg2
1 Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom
2 Department of Mathematics, University of Alabama at Birmingham, 1300 University Boulevard, Birmingham AL 35294-1170
Annals of mathematics, Tome 176 (2012) no. 2, pp. 1039-1096.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove the complete asymptotic expansion of the integrated density of states of a Schrödinger operator $H=-\Delta+b$ acting in $\Bbb{R}^d$ when the potential $b$ is either smooth periodic, or generic quasi-periodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions.
DOI : 10.4007/annals.2012.176.2.8

Leonid Parnovski 1 ; Roman Shterenberg 2

1 Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom
2 Department of Mathematics, University of Alabama at Birmingham, 1300 University Boulevard, Birmingham AL 35294-1170 
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Leonid Parnovski; Roman Shterenberg. Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators. Annals of mathematics, Tome 176 (2012) no. 2, pp. 1039-1096. doi : 10.4007/annals.2012.176.2.8. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.2.8/

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