Displaying similar documents to “Eigenvalue distribution for non-self-adjoint operators on compact manifolds with small multiplicative random perturbations”

Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds

William Bordeaux Montrieux, Johannes Sjöstrand (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this paper, we consider elliptic differential operators on compact manifolds with a random perturbation in the 0th order term and show under fairly weak additional assumptions that the large eigenvalues almost surely distribute according to the Weyl law, well-known in the self-adjoint case.

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

Johannes Sjöstrand (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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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.

Hypoelliptic differential operators

Lars Hörmander (1961)

Annales de l'institut Fourier

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On donne une condition suffisante pour l’hypoellipticité d’une équation différentielle à coefficients variables. La démonstration utilise une paramétrix construite par transformation de Fourier.