Asymptotic Combinatorics with Application to Mathematical Physics

Asymptotic Combinatorics with Application to Mathematical Physics PDF Author: V.A. Malyshev
Publisher: Springer Science & Business Media
ISBN: 9401005753
Category : Science
Languages : en
Pages : 335

Get Book Here

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.

Asymptotic Combinatorics with Applications to Mathematical Physics

Asymptotic Combinatorics with Applications to Mathematical Physics PDF Author: Anatoly M. Vershik
Publisher: Springer
ISBN: 354044890X
Category : Mathematics
Languages : en
Pages : 245

Get Book Here

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.

Asymptotic Combinatorics with Application to Mathematical Physics

Asymptotic Combinatorics with Application to Mathematical Physics PDF Author: V.A. Malyshev
Publisher: Springer Science & Business Media
ISBN: 9401005753
Category : Science
Languages : en
Pages : 335

Get Book Here

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.

Asymptotic Combinatorics with Applications to Mathematical Physics

Asymptotic Combinatorics with Applications to Mathematical Physics PDF Author: Anatoly M. Vershik
Publisher:
ISBN: 9783662204078
Category :
Languages : en
Pages : 260

Get Book Here

Book Description


Asymptotic Methods in Equations of Mathematical Physics

Asymptotic Methods in Equations of Mathematical Physics PDF Author: B Vainberg
Publisher: CRC Press
ISBN: 9782881246647
Category : Science
Languages : en
Pages : 516

Get Book Here

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

Analytic Combinatorics

Analytic Combinatorics PDF Author: Philippe Flajolet
Publisher: Cambridge University Press
ISBN: 1139477161
Category : Mathematics
Languages : en
Pages : 825

Get Book Here

Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Idempotent Mathematics and Mathematical Physics

Idempotent Mathematics and Mathematical Physics PDF Author: Grigoriĭ Lazarevich Litvinov
Publisher: American Mathematical Soc.
ISBN: 0821835386
Category : Mathematics
Languages : en
Pages : 378

Get Book Here

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.

Special Functions

Special Functions PDF Author: George E. Andrews
Publisher: Cambridge University Press
ISBN: 9780521789882
Category : Mathematics
Languages : en
Pages : 684

Get Book Here

Book Description
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.

Combinatorics and Finite Fields

Combinatorics and Finite Fields PDF Author: Kai-Uwe Schmidt
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110642093
Category : Mathematics
Languages : en
Pages : 356

Get Book Here

Book Description
Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.

Means of Hilbert Space Operators

Means of Hilbert Space Operators PDF Author: Fumio Hiai
Publisher: Springer Science & Business Media
ISBN: 9783540406808
Category :
Languages : en
Pages : 164

Get Book Here

Book Description


Geometry, Topology, and Mathematical Physics

Geometry, Topology, and Mathematical Physics PDF Author: V. M. Buchstaber
Publisher: American Mathematical Soc.
ISBN: 9780821890769
Category : Mathematics
Languages : en
Pages : 304

Get Book Here

Book Description
This volume contains a selection of papers based on presentations given in 2006-2007 at the S. P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. Novikov's diverse interests are reflected in the topics presented in the book. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.