Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations
Sjöstrand, Johannes1
1 IMB, Université de Bourgogne, 9, av. A. Savary, BP 47870, FR-21078 Dijon cedex and UMR 5584 du CNRS
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 18 (2009) no. 4, pp. 739-795.

Dans ce travail nous continuons l’étude de l’asymptotique de Weyl de la distribution des valeurs propres d’opérateurs (pseudo-)différentiels avec des perturbations aléatoires petites, en traitant le cas des perturbations multiplicatives en dimension quelconque. Nous avons été amenés à faire des améliorations essentielles des aspects probabilistes.

In this work we continue the study of the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint (pseudo)differential operators with small random perturbations, by treating the case of multiplicative perturbations in arbitrary dimension. We were led to quite essential improvements of many of the probabilistic aspects.

DOI : 10.5802/afst.1223
Sjöstrand, Johannes 1

1 IMB, Université de Bourgogne, 9, av. A. Savary, BP 47870, FR-21078 Dijon cedex and UMR 5584 du CNRS 
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Sjöstrand, Johannes. Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 18 (2009) no. 4, pp. 739-795. doi : 10.5802/afst.1223. https://www.numdam.org/articles/10.5802/afst.1223/

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