Описание: This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.
Автор: Krishnaswami Alladi; Frank Garvan Название: Partitions, q-Series, and Modular Forms ISBN: 1493901869 ISBN-13(EAN): 9781493901869 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This unique volume describes recent progress in the fields of q-hypergeometric series, partitions, and modular forms and their relation to number theory, combinatorics, and special functions. It grew out of a conference at the University of Florida.
Описание: This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method.
Автор: Miklos Название: Computational Complexity ISBN: 1138035572 ISBN-13(EAN): 9781138035577 Издательство: Taylor&Francis Рейтинг: Цена: 13779.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The purpose of the book is to give a comprehensive and detailed introduction to the computational complexity of counting and sampling. The book consists of three main topics: I. Counting problems that are solvable in polynomial running time, II. Approximation algorithms for counting and sampling, III. Holographic algorithms.
Автор: Alexander Barvinok Название: Combinatorics and Complexity of Partition Functions ISBN: 3319518283 ISBN-13(EAN): 9783319518282 Издательство: Springer Рейтинг: Цена: 10760.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gritsenko Valery A., Spiridonov Vyacheslav P. Название: Partition Functions and Automorphic Forms ISBN: 3030423999 ISBN-13(EAN): 9783030423995 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A short introduction to the algebra, geometry, number theory and physics of moonshine.- Modified elliptic genus.- Superconformal indices and instanton partition functions.- On spinorial representations of involutory subalgebras of Kac-Moody algebras.- BPS spectra and invariants for three- and four-manifolds.- Introduction to the theory of elliptic hypergeometric integrals.- Feynman integrals and mirror symmetry.- Theory and applications of the elliptic Painlevй equation.
Автор: Gritsenko Valery A., Spiridonov Vyacheslav P. Название: Partition Functions and Automorphic Forms ISBN: 3030424022 ISBN-13(EAN): 9783030424022 Издательство: Springer Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3, ...,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.
Автор: Borot Gaлtan, Guionnet Alice, Kozlowski Karol K. Название: Asymptotic Expansion of a Partition Function Related to the Sinh-Model ISBN: 3319814990 ISBN-13(EAN): 9783319814995 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables.
Автор: Gabor Halasz; Vera T. Sos Название: Irregularities of Partitions ISBN: 3540505822 ISBN-13(EAN): 9783540505822 Издательство: Springer Рейтинг: Цена: 16070.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: ГЇВїВЅ Model-based recursive partitioning (MOB) provides a powerful synthesis between machine-learning inspired recursive partitioning methods and regression models.
Автор: Leyuan Shi; Sigurdur ?lafsson Название: Nested Partitions Method, Theory and Applications ISBN: 1441944206 ISBN-13(EAN): 9781441944207 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: There is an ever-increasing need to solve optimization problems in a wide variety of science and engineering applications. This up-to-date and highly relevant book provides a cutting-edge research tool to use for large-scale, complex systems optimization.
Автор: Xiao-Xin Du; Hu Guoding Название: Combinatorics, Computing and Complexity ISBN: 0792303083 ISBN-13(EAN): 9780792303084 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: One service mathematics has rendered the 'Et moi, ..., si j'avait su comment en revenir, It has put common sense back je n'y serais point al e.' human race. Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puterscience .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
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