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Orthogonal and Symplectic $n$-level Densities, A.M. Mason, N.C. Snaith


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Автор: A.M. Mason, N.C. Snaith
Название:  Orthogonal and Symplectic $n$-level Densities
ISBN: 9781470426859
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470426854
Обложка/Формат: Paperback
Страницы: 93
Вес: 0.17 кг.
Дата издания: 30.03.2018
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Algebraic geometry
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Поставляется из: Англии
Описание: In this paper the authors apply to the zeros of families of $L$-functions with orthogonal or symplectic symmetry the method that Conrey and Snaith (Correlations of eigenvalues and Riemann zeros, 2008) used to calculate the $n$-correlation of the zeros of the Riemann zeta function. This method uses the Ratios Conjectures (Conrey, Farmer, and Zimbauer, 2008) for averages of ratios of zeta or $L$-functions. Katz and Sarnak (Zeroes of zeta functions and symmetry, 1999) conjecture that the zero statistics of families of $L$-functions have an underlying symmetry relating to one of the classical compact groups $U(N)$, $O(N)$ and $USp(2N)$.Here the authors complete the work already done with $U(N)$ (Conrey and Snaith, Correlations of eigenvalues and Riemann zeros, 2008) to show how new methods for calculating the $n$-level densities of eigenangles of random orthogonal or symplectic matrices can be used to create explicit conjectures for the $n$-level densities of zeros of $L$-functions with orthogonal or symplectic symmetry, including all the lower order terms. They show how the method used here results in formulae that are easily modified when the test function used has a restricted range of support, and this will facilitate comparison with rigorous number theoretic $n$-level density results.

Generalized Gamma Convolutions and Related Classes of Distributions and Densities

Автор: Lennart Bondesson
Название: Generalized Gamma Convolutions and Related Classes of Distributions and Densities
ISBN: 0387978666 ISBN-13(EAN): 9780387978666
Издательство: Springer
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Цена: 107130.00 T
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Описание: This work is an attempt to present the main results on this class of probability distributions and related classes in a rather logical order. Those who do not want to visit a mysterious land situated between the land of probability theory and statistics and the land of classical analysis should not look at this work.

Introduction to symplectic topology

Автор: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794908 ISBN-13(EAN): 9780198794905
Издательство: Oxford Academ
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Цена: 66530.00 T
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Описание: Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

Period Mappings with Applications to Symplectic Complex Spaces

Автор: Tim Kirschner
Название: Period Mappings with Applications to Symplectic Complex Spaces
ISBN: 3319175203 ISBN-13(EAN): 9783319175201
Издательство: Springer
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Цена: 41920.00 T
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Описание: Extending Griffiths` classical theory of period mappings for compact Kahler manifolds, this book develops and applies a theory of period mappings of "Hodge-de Rham type" for families of open complex manifolds.

Pfaffian Systems, k-Symplectic Systems

Автор: A. Awane; M. Goze
Название: Pfaffian Systems, k-Symplectic Systems
ISBN: 0792363736 ISBN-13(EAN): 9780792363736
Издательство: Springer
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Цена: 88500.00 T
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Описание: The geometrical view of mechanics is based on the study of certain exterior systems, the classical of which are Pfaffian systems. This book presents the classification theorems (Frobenius, Darboux) and the local classification of Pfaffian systems of five variables, following Cartan. It is intended for graduate students and research workers.

Brief Introduction To Symplectic And Contact Manifolds, A

Автор: Banyaga Augustin Et Al
Название: Brief Introduction To Symplectic And Contact Manifolds, A
ISBN: 9814696706 ISBN-13(EAN): 9789814696708
Издательство: World Scientific Publishing
Цена: 65470.00 T
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Описание: The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.

Transmission of Information by Orthogonal Functions

Автор: Henning F. Harmuth
Название: Transmission of Information by Orthogonal Functions
ISBN: 3642533590 ISBN-13(EAN): 9783642533594
Издательство: Springer
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Цена: 95770.00 T
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Описание: However, the only useful examples of orthogonal functions at that time were sine-cosine functions and block pulses, and this made the theory appear to be a complicated way to derive known re- sults.

Symmetry breaking for representations of rank one orthogonal groups ii

Автор: Kobayashi, Toshiyuki Speh, Birgit
Название: Symmetry breaking for representations of rank one orthogonal groups ii
ISBN: 9811329001 ISBN-13(EAN): 9789811329005
Издательство: Springer
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Цена: 41920.00 T
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Описание:

This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.
The study of symmetry breaking operators (intertwining operators for restriction) is an important and very active research area in modern representation theory, which also interacts with various fields in mathematics and theoretical physics ranging from number theory to differential geometry and quantum mechanics.
The first author initiated a program of the general study of symmetry breaking operators. The present book pursues the program by introducing new ideas and techniques, giving a systematic and detailed treatment in the case of orthogonal groups of real rank one, which will serve as models for further research in other settings.
In connection to automorphic forms, this work includes a proof for a multiplicity conjecture by Gross and Prasad for tempered principal series representations in the case (SO(n + 1, 1), SO(n, 1)). The authors propose a further multiplicity conjecture for nontempered representations.
Viewed from differential geometry, this seminal work accomplishes the classification of all conformally covariant operators transforming differential forms on a Riemanniann manifold X to those on a submanifold in the model space (X, Y) = (Sn, Sn-1). Functional equations and explicit formul? of these operators are also established.
This book offers a self-contained and inspiring introduction to the analysis of symmetry breaking operators for infinite-dimensional representations of reductive Lie groups. This feature will be helpful for active scientists and accessible to graduate students and young researchers in representation theory, automorphic forms, differential geometry, and theoretical physics.
Elementary Symplectic Topology and Mechanics

Автор: Franco Cardin
Название: Elementary Symplectic Topology and Mechanics
ISBN: 331911025X ISBN-13(EAN): 9783319110257
Издательство: Springer
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Цена: 37260.00 T
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Описание: This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics.

Contact and Symplectic Topology

Автор: Fr?d?ric Bourgeois; Vincent Colin; Andr?s Stipsicz
Название: Contact and Symplectic Topology
ISBN: 3319020358 ISBN-13(EAN): 9783319020358
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book explains the application of symplectic and contact geometry to various fields of physics. It presents a wide range of hot topics in an active field of mathematics and features tutorial-like lectures designed to be accessible to graduate students.

Symplectic amalgams

Автор: Parker, Christopher Rowley, Peter
Название: Symplectic amalgams
ISBN: 1447110889 ISBN-13(EAN): 9781447110880
Издательство: Springer
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Цена: 93130.00 T
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Описание: The aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups. The classification touches on many important aspects of modern group theory: * p-local analysis * the amalgam method * representation theory over finite fields; and * properties of the finite simple groups.

Torus Actions on Symplectic Manifolds

Автор: Mich?le Audin
Название: Torus Actions on Symplectic Manifolds
ISBN: 3034896379 ISBN-13(EAN): 9783034896375
Издательство: Springer
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Цена: 121110.00 T
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Описание: The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces.

Index Theory for Symplectic Paths with Applications

Автор: Yiming Long
Название: Index Theory for Symplectic Paths with Applications
ISBN: 303489466X ISBN-13(EAN): 9783034894661
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems.


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