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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations

Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations

Sjöstrand, Johannes

Paperback

Series: Pseudo-Differential Operators, Book 14

General Mathematics

ISBN10: 303010818X
ISBN13: 9783030108182
Publisher: Birkhauser
Published: May 29 2019
Pages: 496
Weight: 1.76
Height: 1.02 Width: 6.69 Depth: 9.61
Language: English

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago.

In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book.

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