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Large Random Matrices: Lectures on Macroscopic Asymptotics, Alice Guionnet


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Автор: Alice Guionnet
Название:  Large Random Matrices: Lectures on Macroscopic Asymptotics
ISBN: 9783540698968
Издательство: Springer
Классификация:


ISBN-10: 3540698965
Обложка/Формат: Paperback
Страницы: 294
Вес: 0.44 кг.
Дата издания: 25.03.2009
Серия: ?cole d'?t? de Probabilit?s de Saint-Flour
Язык: English
Размер: 234 x 156 x 17
Основная тема: Mathematics
Подзаголовок: ?cole d'?t? de Probabilit?s de Saint-Flour XXXVI – 2006
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Random matrix theory has developed in connection with various fields of mathematics and physics. This title includes notes that emphasize the relation with the problem of enumerating complicated graphs, and the related large deviations questions.


Asymptotics for Associated Random Variables

Автор: Paulo Eduardo Oliveira
Название: Asymptotics for Associated Random Variables
ISBN: 3642441270 ISBN-13(EAN): 9783642441271
Издательство: Springer
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Цена: 13275.00 р.
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Описание: The book concerns the notion of association in probability and statistics. The goal of this book is to bring together the bulk of these results, presenting the theory in a unified way, explaining relations and implications of the results.

Two-Scale Stochastic Systems / Asymptotic Analysis and Control

Автор: Kabanov Yuri, Pergamenshchikov Sergei
Название: Two-Scale Stochastic Systems / Asymptotic Analysis and Control
ISBN: 3540653325 ISBN-13(EAN): 9783540653325
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Two-scale systems described by singularly perturbed SDEs have been the subject of ample literature. However, this new monograph develops subjects that were rarely addressed and could be given the collective description "Stochastic Tikhonov-Levinson theory and its applications." The book provides a mathematical apparatus designed to analyze the dynamic behaviour of a randomly perturbed system with fast and slow variables. In contrast to the deterministic Tikhonov-Levinson theory, the basic model is described in a more realistic way by stochastic differential equations. This leads to a number of new theoretical questions but simultaneously allows us to treat in a unified way a surprisingly wide spectrum of applications like fast modulations, approximate filtering, and stochastic approximation.

Asymptotics in Statistics

Автор: Lucien Le Cam; Grace Lo Yang
Название: Asymptotics in Statistics
ISBN: 1461270308 ISBN-13(EAN): 9781461270300
Издательство: Springer
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Цена: 27950.00 р.
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Описание: This is the second edition of a coherent introduction to the subject of asymptotic statistics as it has developed over the past 50 years. Much of the material has been taught in a second year graduate course at Berkeley for 30 years.

Pseudo-Differential Operators, Generalized Functions and Asymptotics

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: 16769.00 р.
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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.

Asymptotics And Special Functions

Автор: Olver, Frank W. J.,
Название: Asymptotics And Special Functions
ISBN: 1568810695 ISBN-13(EAN): 9781568810690
Издательство: Taylor&Francis
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Цена: 29093.00 р.
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Описание: A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool

Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

Автор: Frankel N.
Название: Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
ISBN: 0521497981 ISBN-13(EAN): 9780521497985
Издательство: Cambridge Academ
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Цена: 6018.00 р.
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Описание: This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.

Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics

Автор: John P. Boyd
Название: Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics
ISBN: 0792350723 ISBN-13(EAN): 9780792350729
Издательство: Springer
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Цена: 18167.00 р.
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Описание: An examination of weakly nonlocal solitary waves. It describes a class of waves which radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances. It provides specific examples in the areas of water waves, particle physics, meteorology, oceanography, fiber optics pulses and dynamical systems theory.

Microlocal Analysis and Precise Spectral Asymptotics

Автор: Victor Ivrii
Название: Microlocal Analysis and Precise Spectral Asymptotics
ISBN: 3540627804 ISBN-13(EAN): 9783540627807
Издательство: Springer
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Цена: 20263.00 р.
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Описание: The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; to provide furt her progress and only a couple of not very exciting problems remained to be solved.

Large Deviations and Asymptotic Methods in Finance

Автор: Peter K. Friz; Jim Gatheral; Archil Gulisashvili;
Название: Large Deviations and Asymptotic Methods in Finance
ISBN: 3319385127 ISBN-13(EAN): 9783319385129
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

Hagan, Lesniewski, Woodward: Probability Distribution in the SABR Model of Stochastic Volatility.- Paulot: Asymptotic Implied Volatility at the Second Order with Application to the SABR Model.- Henry-Labordere: Unifying the BGM and SABR Models: A Short Ride in Hyperbolic Geometry.- Ben Arous, Laurence: Second Order Expansion for Implied Volatility in Two Factor Local-stochastic Volatility.- Osajima: General Asymptotics of Wiener Functionals and Application to Implied Volatilities.- Bayer, Laurence: Small-time asymptotics for the at-the-money implied volatility in a multi-dimensional local volatility model.- Keller-Ressel, Teichmann: A Remark on Gatheral's 'Most-likely Path Approximation' of Implied Volatility.- Gatheral, Wang: Implied volatility from local volatility: a path integral approach.- Gerhold, Friz: Don't Stay Local - Extrapolation Analytics for Dupire's Local Volatility.- Gulisashvili, Teichmann: Laplace Principle Expansions and Short Time Asymptotics for Affine Processes.- Lorig, Pascucci, Pagliarani: Asymptotics for d-dimensional Levy-type Processes.- Takahashi: An Asymptotic Expansion Approach in Finance.- Baudoin, Ouyang: On small time asymptotics for rough differential equations driven by fractional Brownian motions.- Lucic: On singularities in the Heston model.- Bayer, Friz, Laurence: On the probability density function of baskets.- Conforti, De Marco, Deuschel: On small-noise equations with degenerate limiting system arising from volatility models.- Pham: Long time asymptotic problems for optimal investment.- Spiliopoulos: Systemic Risk and Default Clustering for Large Financial Systems.- Jacod, Rosenbaum: Asymptotic Properties of a Volatility Estimator.

Introduction to random matrices

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: 11088.00 р.
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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.

Large deviations and asymptotic methods in finance

Название: Large deviations and asymptotic methods in finance
ISBN: 3319116045 ISBN-13(EAN): 9783319116044
Издательство: Springer
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Цена: 22359.00 р.
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Описание:

Hagan, Lesniewski, Woodward: Probability Distribution in the SABR Model of Stochastic Volatility.- Paulot: Asymptotic Implied Volatility at the Second Order with Application to the SABR Model.- Henry-Labordere: Unifying the BGM and SABR Models: A Short Ride in Hyperbolic Geometry.- Ben Arous, Laurence: Second Order Expansion for Implied Volatility in Two Factor Local-stochastic Volatility.- Osajima: General Asymptotics of Wiener Functionals and Application to Implied Volatilities.- Bayer, Laurence: Small-time asymptotics for the at-the-money implied volatility in a multi-dimensional local volatility model.- Keller-Ressel, Teichmann: A Remark on Gatheral's 'Most-likely Path Approximation' of Implied Volatility.- Gatheral, Wang: Implied volatility from local volatility: a path integral approach.- Gerhold, Friz: Don't Stay Local - Extrapolation Analytics for Dupire's Local Volatility.- Gulisashvili, Teichmann: Laplace Principle Expansions and Short Time Asymptotics for Affine Processes.- Lorig, Pascucci, Pagliarani: Asymptotics for d-dimensional Levy-type Processes.- Takahashi: An Asymptotic Expansion Approach in Finance.- Baudoin, Ouyang: On small time asymptotics for rough differential equations driven by fractional Brownian motions.- Lucic: On singularities in the Heston model.- Bayer, Friz, Laurence: On the probability density function of baskets.- Conforti, De Marco, Deuschel: On small-noise equations with degenerate limiting system arising from volatility models.- Pham: Long time asymptotic problems for optimal investment.- Spiliopoulos: Systemic Risk and Default Clustering for Large Financial Systems.- Jacod, Rosenbaum: Asymptotic Properties of a Volatility Estimator.


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