Asymptotics of Random Matrices and Related Models: The Uses of Dyson-Schwinger Equations, Alice Guionnet

Автор: M.H. Lantsman
Название: Asymptotics of Linear Differential Equations
ISBN: 0792371933 ISBN-13(EAN): 9780792371939
Издательство: Springer
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Цена: 102480.00 T
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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.

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: 93160.00 T
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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.

Автор: M. Martin; Alexander Krasnoselskii
Название: Asymptotics of Nonlinearities and Operator Equations
ISBN: 3034898991 ISBN-13(EAN): 9783034898997
Издательство: Springer
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Цена: 97820.00 T
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Описание: New methods for solving classical problems in the theory of nonlinear operator equations (solvability, multiple solutions, bifurcations, nonlinear resonance, potential methods, etc) are introduced and discussed. In particular, the problem on forced periodic oscillations is considered for equations arising in control theory.

Автор: G. K. Immink
Название: Asymptotics of Analytic Difference Equations
ISBN: 3540138676 ISBN-13(EAN): 9783540138679
Издательство: Springer
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Цена: 23250.00 T
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Автор: Johannes Sj?strand
Название: Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
ISBN: 303010818X ISBN-13(EAN): 9783030108182
Издательство: Springer
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Цена: 102480.00 T
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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 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.

Автор: Anderson, Greg W. Guionnet, Alice Zeitouni, Ofer
Название: Introduction to random matrices
ISBN: 0521194520 ISBN-13(EAN): 9780521194525
Издательство: Cambridge Academ
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Цена: 73920.00 T
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Описание: The theory of random matrices plays an important role in many areas of pure mathematics. This rigorous introduction is specifically designed for graduate students in mathematics or related sciences, who have a background in probability theory but have not been exposed to advanced notions of functional analysis, algebra or geometry.

Автор: Harvey Segur; Saleh Tanveer; Herbert J. Levine
Название: Asymptotics beyond All Orders
ISBN: 1475704372 ISBN-13(EAN): 9781475704372
Издательство: Springer
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Цена: 95770.00 T
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Описание: Proceedings of a NATO ARW held in La Jolla, California, January 7-11, 1991

Автор: Victor Ivrii
Название: Microlocal Analysis, Sharp Spectral Asymptotics and Applications III
ISBN: 3030305368 ISBN-13(EAN): 9783030305369
Издательство: Springer
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Цена: 130430.00 T
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Описание: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schr?dinger operator, miscellaneous problems, and multiparticle quantum theory.In this volume the methods developed in Volumes I and II are applied to the Schr?dinger and Dirac operators in smooth settings in dimensions 2 and 3.

Автор: Victor Ivrii
Название: Microlocal Analysis, Sharp Spectral Asymptotics and Applications V
ISBN: 3030305600 ISBN-13(EAN): 9783030305604
Издательство: Springer
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Цена: 130430.00 T
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Описание: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schr?dinger operator, miscellaneous problems, and multiparticle quantum theory.In this volume the methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.

Автор: Victor Ivrii
Название: Microlocal Analysis, Sharp Spectral Asymptotics and Applications I
ISBN: 3030305562 ISBN-13(EAN): 9783030305567
Издательство: Springer
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Цена: 130430.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schr?dinger operator, miscellaneous problems, and multiparticle quantum theory.In this volume the general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.

Автор: John R. Shackell
Название: Symbolic Asymptotics
ISBN: 3642059252 ISBN-13(EAN): 9783642059254
Издательство: Springer
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Цена: 130430.00 T
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Описание: Accessible to anyone with a good general background in mathematics, but it nonetheless gets right to the cutting edge of active research. Some results appear here for the first time, while others have hitherto only been given in preprints.

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: 111790.00 T
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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.