Dans ce travail nous étendons un travail précédent sur l’asymptotique de Weyl de la distribution des valeurs propres d’opérateurs différentiels avec des perturbations multiplicatives aléatoires petites, en traitant le cas des opérateurs sur des variétés compactes.
In this work we extend a previous work about the Weyl asymptotics of the distribution of eigenvalues of non-self-adjoint differential operators with small multiplicative random perturbations, by treating the case of operators on compact manifolds
@article{AFST_2010_6_19_2_277_0,
author = {Sj\"ostrand, Johannes},
title = {Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {277--301},
publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 19},
number = {2},
year = {2010},
doi = {10.5802/afst.1244},
zbl = {1206.35267},
mrnumber = {2674764},
language = {en},
url = {http://www.numdam.org/articles/10.5802/afst.1244/}
}
TY - JOUR AU - Sjöstrand, Johannes TI - Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2010 SP - 277 EP - 301 VL - 19 IS - 2 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://www.numdam.org/articles/10.5802/afst.1244/ DO - 10.5802/afst.1244 LA - en ID - AFST_2010_6_19_2_277_0 ER -
%0 Journal Article %A Sjöstrand, Johannes %T Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2010 %P 277-301 %V 19 %N 2 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://www.numdam.org/articles/10.5802/afst.1244/ %R 10.5802/afst.1244 %G en %F AFST_2010_6_19_2_277_0
Sjöstrand, Johannes. Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 19 (2010) no. 2, pp. 277-301. doi : 10.5802/afst.1244. http://www.numdam.org/articles/10.5802/afst.1244/
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