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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations, Johannes Sj?strand


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Автор: Johannes Sj?strand
Название:  Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
ISBN: 9783030108182
Издательство: Springer
Классификация:




ISBN-10: 303010818X
Обложка/Формат: Soft cover
Страницы: 496
Вес: 0.85 кг.
Дата издания: 2019
Серия: Pseudo-Differential Operators
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 69 illustrations, color; 2 illustrations, black and white; x, 496 p. 71 illus., 69 illus. in color.
Размер: 244 x 170 x 26
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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 Weyls 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.
Дополнительное описание: #ИМЯ?



Open conformal systems and perturbations of transfer operators

Автор: Pollicott, Mark (university Of Manchester)
Название: Open conformal systems and perturbations of transfer operators
ISBN: 331972178X ISBN-13(EAN): 9783319721781
Издательство: Springer
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Цена: 6288.00 р.
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Описание: 1. Introduction.- 2. Singular Perturbations of Classical Original Perron-Frobenius Operators on Countable Alphabet Symbol Spaces.- 3. Symbol Escape Rates and the Survivor Set K(Un).- 4. Escape Rates for Conformal GDMSs and IFSs.- 5. Applications: Escape Rates for Multimodal Mapsand One-Dimensional Complex Dynamics.

Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary

Автор: Victor Ivrii
Название: Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary
ISBN: 3540133615 ISBN-13(EAN): 9783540133612
Издательство: Springer
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Цена: 4884.00 р.
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Stable Perturbations Of Operators And Related Topics

Автор: Xue Yifeng
Название: Stable Perturbations Of Operators And Related Topics
ISBN: 9814383597 ISBN-13(EAN): 9789814383592
Издательство: World Scientific Publishing
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Цена: 15048.00 р.
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Описание: A collection of articles that covers topics that range from Markov processes, backward stochastic differential equations, stochastic partial differential equations, stochastic control, potential theory, functional inequalities, optimal stopping, portfolio selection, to risk measure and risk theory.

Pseudo-Differential Operators, Generalized Functions and Asymptotics

Автор: Shahla Molahajloo; Stevan Pilipovi?; Joachim Toft;
Название: Pseudo-Differential Operators, Generalized Functions and Asymptotics
ISBN: 3034808038 ISBN-13(EAN): 9783034808033
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the special session on generalized functions and asymptotics at the Eighth Congress of ISAAC held at the Peoples' Friendship University of Russia in Moscow on August 22‒27, 2011. The category of papers on pseudo-differential operators contains such topics as elliptic operators assigned to diffeomorphisms of smooth manifolds, analysis on singular manifolds with edges, heat kernels and Green functions of sub-Laplacians on the Heisenberg group and Lie groups with more complexities than but closely related to the Heisenberg group, Lp-boundedness of pseudo-differential operators on the torus, and pseudo-differential operators related to time-frequency analysis. The second group of papers contains various classes of distributions and algebras of generalized functions with applications in linear and nonlinear differential equations, initial value problems and boundary value problems, stochastic and Malliavin-type differential equations. This second group of papers are related to the third collection of papers via the setting of Colombeau-type spaces and algebras in which microlocal analysis is developed by means of techniques in asymptotics. The volume contains the synergies of the three areas treated and is a useful complement to volumes 155, 164, 172, 189, 205 and 213 published in the same series in, respectively, 2004, 2006, 2007, 2009, 2010 and 2011.

Robust Stabilization Against Structured Perturbations

Автор: Shankar P. Bhattacharyya
Название: Robust Stabilization Against Structured Perturbations
ISBN: 3540180567 ISBN-13(EAN): 9783540180562
Издательство: Springer
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Цена: 12157.00 р.
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Описание: This book is a research monograph describing results obtained by the author and his co-workers of the last two years.

Asymptotics of Linear Differential Equations

Автор: M.H. Lantsman
Название: Asymptotics of Linear Differential Equations
ISBN: 0792371933 ISBN-13(EAN): 9780792371939
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Devoted to the asymptotic theory of differential equations, this book considers problems based on the notion of an asymptotic space. It contains the theoretical material and general methods of its application to partial problems, and results of asymptotic behavior of functions, integrals, and solutions of differential and difference equations.

Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems

Автор: A. L. Dontchev
Название: Perturbations, Approximations and Sensitivity Analysis of Optimal Control Systems
ISBN: 3540124632 ISBN-13(EAN): 9783540124634
Издательство: Springer
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Цена: 12157.00 р.
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Historical Developments in Singular Perturbations

Автор: Robert E. O`Malley
Название: Historical Developments in Singular Perturbations
ISBN: 3319363824 ISBN-13(EAN): 9783319363820
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status.

Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Автор: P.L. Sachdev; Ch. Srinivasa Rao
Название: Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
ISBN: 1461424909 ISBN-13(EAN): 9781461424901
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The goals of this text are to prove or disprove the solution of reduced nonlinear ODE`s by different analytic methods, and to show that these solutions are intermediate asymptotics of a class of initial/boundary conditions arising from physical considerations.


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