Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations

Johannes Sjöstrand[1]

  • [1] IMB, Université de Bourgogne 9, Av. A. Savary, BP 47870 FR-21780 Dijon Cédex and UMR 5584, CNRS

Annales de la faculté des sciences de Toulouse Mathématiques (2010)

  • Volume: 19, Issue: 2, page 277-301
  • ISSN: 0240-2963

Abstract

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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

How to cite

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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 19.2 (2010): 277-301. <http://eudml.org/doc/115877>.

@article{Sjöstrand2010,
abstract = {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},
affiliation = {IMB, Université de Bourgogne 9, Av. A. Savary, BP 47870 FR-21780 Dijon Cédex and UMR 5584, CNRS},
author = {Sjöstrand, Johannes},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {spectral theory; non-self-adjoint operators; random perturbations},
language = {eng},
month = {4},
number = {2},
pages = {277-301},
publisher = {Université Paul Sabatier, Toulouse},
title = {Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations},
url = {http://eudml.org/doc/115877},
volume = {19},
year = {2010},
}

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
DA - 2010/4//
PB - Université Paul Sabatier, Toulouse
VL - 19
IS - 2
SP - 277
EP - 301
AB - 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
LA - eng
KW - spectral theory; non-self-adjoint operators; random perturbations
UR - http://eudml.org/doc/115877
ER -

References

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  2. W. Bordeaux Montrieux, J. Sjöstrand, Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds, Ann. Fac. Sci. Toulouse, to appear. http://arxiv.org/abs/0903.2937 Zbl1228.47046
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