Asymptotic Combinatorics with Application to Mathematical Physics PDF Download
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Author: V.A. Malyshev
Publisher: Springer Science & Business Media
ISBN: 9401005753
Category : Science
Languages : en
Pages : 335
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Book Description
New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.
Author: V.A. Malyshev
Publisher: Springer Science & Business Media
ISBN: 9401005753
Category : Science
Languages : en
Pages : 335
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Book Description
New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.
Author: Anatoly M. Vershik
Publisher: Springer
ISBN: 354044890X
Category : Mathematics
Languages : en
Pages : 245
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Book Description
At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.
Author: Anatoly M. Vershik
Publisher:
ISBN: 9783662204078
Category :
Languages : en
Pages : 260
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Book Description
Author: B Vainberg
Publisher: CRC Press
ISBN: 9782881246647
Category : Science
Languages : en
Pages : 516
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Book Description
Typed English translation of a monograph first published (in Russian) in 1982. Provides graduate students and researchers with usefully detailed discussion of most of the asymptotic methods standard these days to the work of mathematical physicists. The author prefers not to dwell in the heights of abstraction; he has written a broadly intelligble book, which is informed at every point by his secure command of major physical applications. An expensive but valuable contribution to the literature of an important but too-little-written- about field. Twelve chapters, references. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Author: Ovidiu Costin
Publisher: Springer Science & Business Media
ISBN: 8876423796
Category : Mathematics
Languages : en
Pages : 273
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Book Description
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with - mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, - local dynamics: parabolic systems, small denominator questions, - new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, - a new family of resurgent functions related to knot theory.
Author: E. T. Copson
Publisher: Cambridge University Press
ISBN: 9780521604826
Category : Mathematics
Languages : en
Pages : 136
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Book Description
Asymptotic representation of a function os of great importance in many branches of pure and applied mathematics.
Author: Edward T. Copson
Publisher:
ISBN:
Category :
Languages : en
Pages : 120
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Book Description
Author: Grigoriĭ Lazarevich Litvinov
Publisher: American Mathematical Soc.
ISBN: 0821835386
Category : Mathematics
Languages : en
Pages : 378
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Book Description
Idempotent mathematics is a rapidly developing new branch of the mathematical sciences that is closely related to mathematical physics. The existing literature on the subject is vast and includes numerous books and journal papers. A workshop was organized at the Erwin Schrodinger Institute for Mathematical Physics (Vienna) to give a snapshot of modern idempotent mathematics. This volume contains articles stemming from that event. Also included is an introductory paper by G. Litvinov and additional invited contributions. The resulting volume presents a comprehensive overview of the state of the art. It is suitable for graduate students and researchers interested in idempotent mathematics and tropical mathematics.
Author: M. V. Karasev
Publisher: American Mathematical Soc.
ISBN: 9780821833360
Category : Asymptotic symmetry (Physics)
Languages : en
Pages : 298
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Book Description
The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems. In the introductory paper ``Quantization and Intrinsic Dynamics'' a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method. It also explains a hidden dynamic geometry that arises when using these methods. Three other papers discuss applications of asymptotic methods to the construction of wave-type solutions of nonlinear PDE's, to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations, and to the study of the Schrodinger type equations whose potential wells are sufficiently shallow that the discrete spectrum contains precisely one point. All the papers contain detailed references and are oriented not only to specialists in asymptotic methods, but also to a wider audience of researchers and graduate students working in partial differential equations and mathematical physics.
Author: David Y. Gao
Publisher: CRC Press
ISBN: 1420011731
Category : Mathematics
Languages : en
Pages : 270
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Book Description
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important m
