Non Self Adjoint Differential Operators Spectral Asymptotics and Random Perturbations is popular PDF and ePub book, written by Johannes Sjöstrand in 2019-05-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Non Self Adjoint Differential Operators Spectral Asymptotics and Random Perturbations can be Read Online from any device for your convenience.
Non Self Adjoint Differential Operators Spectral Asymptotics and Random Perturbations Book PDF Summary
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. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
Detail Book of Non Self Adjoint Differential Operators Spectral Asymptotics and Random Perturbations PDF
- Author : Johannes Sjöstrand
- Release : 17 May 2019
- Publisher : Springer
- ISBN : 9783030108199
- Genre : Mathematics
- Total Page : 496 pages
- Language : English
- PDF File Size : 12,5 Mb
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