Analytic-Bilinear Approach to Integrable Hierarchies, L.V. Bogdanov

Автор: L.V. Bogdanov
Название: Analytic-Bilinear Approach to Integrable Hierarchies
ISBN: 0792359194 ISBN-13(EAN): 9780792359197
Издательство: Springer
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Описание: Presents the analytic-bilinear approach to integrable hierarchies, which gives a consistent and technically simple description of integrable hierarchies. This book shows a different way to understand rather complicated structures, using mostly standard complex analysis.

Автор: Ludwig Faddeev; Pierre Van Moerbeke; Franklin Lamb
Название: Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete
ISBN: 1402035012 ISBN-13(EAN): 9781402035012
Издательство: Springer
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Цена: 192860.00 T
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Описание: On April 29, 1814 Napoleon landed on the island of Elba, surrounded with a personal army of 1200 men. The allies, Russia, Prussia, England and Austria, hadforcedhimintoexileafteranumberofverycostlydefeats;hewasdeprived ofallhistitles, butcouldkeepthetitleof"EmperorofElba". Historytellsusthat each morning he took long walks in the sun, reviewed his army each midday anddiscussedworldmatterswithnewlyappointedadvisors, followingthesame pattern everyday, to the great surprise of Campbell, the British of?cer who was to keep an eye on him. All this made everyone believe he was settled there for good. Napoleononcesaid: Elbaisbeautiful, butabitsmall. Elbawasde?nitely a source of inspiration; indeed, the early morning, March 6, 1815, Metternich, the chancellor of Austria was woken up by one of his aides with the stunning news that Napoleon had left Elba with his 1200 men and was marching to Paris with little resistance; A few days later he took up his throne again in the Tuileries. In spite of his insatiable hunger for battles and expansion, he is remembered as an important statesman. He was a pioneer in setting up much of the legal, administrative and political machinery in large parts of continental Europe. We gathered here in a lovely and quaint ?shing port, Marciana Marina on theislandofElba, tocelebrateoneofthepioneersofintegrablesystems, Hirota Sensei, andthisattheoccasionofhisseventiethbirthday. Trainedasaphysicist in his home university Kyushu University, Professor Hirota earned his PhD in '61 at Northwestern University with Professor Siegert in the ?eld of "Quantum Statistical mechanics". He wrote a widely appreciated Doctoral dissertation on "FunctionalIntegralrepresentationofthegrandpartitionfunction".

Автор: Vladimir Gerdjikov; Gaetano Vilasi; Alexandar Bori
Название: Integrable Hamiltonian Hierarchies
ISBN: 3540770534 ISBN-13(EAN): 9783540770534
Издательство: Springer
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Описание: Presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their hierarchies. This work demonstrates that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform.

Автор: Gerdjikov Vladimir
Название: Integrable Hamiltonian Hierarchies
ISBN: 3642095771 ISBN-13(EAN): 9783642095771
Издательство: Springer
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Описание: This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their hierarchies.

Автор: Henrik Aratyn; Alexander S. Sorin
Название: Integrable Hierarchies and Modern Physical Theories
ISBN: 0792369637 ISBN-13(EAN): 9780792369639
Издательство: Springer
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Описание: A self-contained collection of reviews, reports and survey articles describing the background to and recent developments in integral systems and their applications in modern theoretical physics. Some articles discuss the connection of integrable models to Seiberg-Witten theory and its generalization to many gauge models possessing hidden integrability on a moduli space. New ideas are also presented on higher dimensional integrable systems and skyrmions. Other topics include two dimensional sigma and WZW models; affine and boundary integrable Toda field theories and related perturbed conformal quantum field theories; boronic and supersymmetric, discrete and differential KP and Toda-type hierarchies, their various symmetry reductions, boronic and fermionic, isospectral and non-isospectral, local and non-local flows; trigonometric Calogero-Moser systems; conjugate, orthogonal and Egorov nets.
A unique insight into integrable models that will interest serious practitioners, young researchers and graduate students starting their careers in the area.

Автор: Thompson, Grahame F.
Название: Between Hierarchies and Markets: The Logic and Limits of Network Forms of Organization
ISBN: 019877527X ISBN-13(EAN): 9780198775270
Издательство: Oxford Academ
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Цена: 41170.00 T
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Описание: This text conducts a survey into the ways in which the word "network" has been deployed in a wide range of literature. In particular, it offers a commentary on how the idea of networks has been used to illustrate contemporary forms of socio-economic organization.

Автор: Hinman
Название: Recursion-Theoretic Hierarchies
ISBN: 1107168244 ISBN-13(EAN): 9781107168244
Издательство: Cambridge Academ
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Описание: The theory set out in this volume is the result of the meeting and common development of two currents of mathematical research: descriptive set theory and recursion theory. The author develops a general theory from which the results of both areas can be derived, making the common themes clear.

Автор: John Milnor; Dale Husemoller
Название: Symmetric Bilinear Forms
ISBN: 364288332X ISBN-13(EAN): 9783642883323
Издательство: Springer
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Описание: The theory cf quadratic forms and the intimately related theory of sym- metrie bilinear forms have a lang and rich his tory, highlighted by the work of Legendre, Gauss, Minkowski, and Hasse. (Compare Dickson] and Bourbaki, 24, p. 185].) Our exposition will concentrate on the rela- tively recent developments which begin with and are inspired by Witt's 1937 paper "Theorie der quadratischen Formen in beliebigen K rpern." We will be particularly interested in the work of A. Pfister and M. Knebusch. However, some older material will be described, particularly in Chapter II. The presentation is based on lectures by Milnor at the Institute for Ad- vanced Study, and at Haverford College under the Phillips Lecture Pro- gram, during the Fall of 1970, as weIl as Iectures at Princeton University il1 1966. We want to thank J. Cunningham, M. Knebusch, M. Kneser, A. Rosenberg, W. Scharlau and J.-P. Serre for helpful suggestions and corrections. Prerequisites. The reader should be familiar with the rudiments of algebra., incJuding for example the concept of tensor product for mo- dules over a commutative ring. A few individual sections will require quite a bit more. The logical relationship between the various chapters can be roughly described by the diagram below. There are also five appendices, largely self-contained, which treat special topics. I. Arbitrary commutative rings I H. The ring of V. Miscellaneous IIl. Fields integers examples IV. Dedekind domains Contents Chapter r. Basie Coneepts . . . . . . . .

Автор: Zijad Aganovic; Zoran Gajic
Название: Linear Optimal Control of Bilinear Systems
ISBN: 3540199764 ISBN-13(EAN): 9783540199762
Издательство: Springer
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Описание: This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems. The book also examines two special classes of bilinear-quadratic control problems: namely singularly perturbed and weakly coupled bilinear control systems.

Автор: Gy?rgy Terdik
Название: Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis
ISBN: 0387988726 ISBN-13(EAN): 9780387988726
Издательство: Springer
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Цена: 97820.00 T
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Описание: The first two chapters are devoted to the basic theory of nonlinear functions of stationary Gaussian processes, Hermite polynomials, cumulants and higher order spectra, multiple Wiener-Ito integrals and finally chaotic Wiener-Ito spectral representation of subordinated processes.

Автор: Hans F. de Groote
Название: Lectures on the Complexity of Bilinear Problems
ISBN: 354017205X ISBN-13(EAN): 9783540172055
Издательство: Springer
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Автор: Hari Krishna
Название: Computational Complexity of Bilinear Forms
ISBN: 3540176616 ISBN-13(EAN): 9783540176619
Издательство: Springer
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