Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices

Author : American Mathematical Society
Publisher :
ISBN 13 : 9781470409913
Total Pages : 345 pages
Book Rating : 4.17/5 ( download)

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Download or read book Algebraic and Geometric Aspects of Integrable Systems and Random Matrices written by American Mathematical Society and published by . This book was released on 2013 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Anton Dzhamay
Publisher : American Mathematical Soc.
ISBN 13 : 0821887475
Total Pages : 363 pages
Book Rating : 4.79/5 ( download)

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Download or read book Algebraic and Geometric Aspects of Integrable Systems and Random Matrices written by Anton Dzhamay and published by American Mathematical Soc.. This book was released on 2013-06-26 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates

Author : John Harnad
Publisher : Springer Science & Business Media
ISBN 13 : 1441995145
Total Pages : 536 pages
Book Rating : 4.48/5 ( download)

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Download or read book Random Matrices, Random Processes and Integrable Systems written by John Harnad and published by Springer Science & Business Media. This book was released on 2011-05-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the remarkable connections between two domains that, a priori, seem unrelated: Random matrices (together with associated random processes) and integrable systems. The relations between random matrix models and the theory of classical integrable systems have long been studied. These appear mainly in the deformation theory, when parameters characterizing the measures or the domain of localization of the eigenvalues are varied. The resulting differential equations determining the partition function and correlation functions are, remarkably, of the same type as certain equations appearing in the theory of integrable systems. They may be analyzed effectively through methods based upon the Riemann-Hilbert problem of analytic function theory and by related approaches to the study of nonlinear asymptotics in the large N limit. Associated with studies of matrix models are certain stochastic processes, the "Dyson processes", and their continuum diffusion limits, which govern the spectrum in random matrix ensembles, and may also be studied by related methods. Random Matrices, Random Processes and Integrable Systems provides an in-depth examination of random matrices with applications over a vast variety of domains, including multivariate statistics, random growth models, and many others. Leaders in the field apply the theory of integrable systems to the solution of fundamental problems in random systems and processes using an interdisciplinary approach that sheds new light on a dynamic topic of current research.

Author : G. F. Helminck
Publisher :
ISBN 13 : 9783662139295
Total Pages : 240 pages
Book Rating : 4.94/5 ( download)

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Download or read book Geometric and Quantum Aspects of Integrable Systems written by G. F. Helminck and published by . This book was released on 2014-01-15 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : G. F. Helminck
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.17/5 ( download)

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Download or read book Geometric and Quantum Aspects of Integrable Systems written by G. F. Helminck and published by . This book was released on 1993 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mark Pinsky
Publisher : Cambridge University Press
ISBN 13 : 0521895278
Total Pages : 405 pages
Book Rating : 4.79/5 ( download)

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Download or read book Probability, Geometry and Integrable Systems written by Mark Pinsky and published by Cambridge University Press. This book was released on 2008-03-17 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.

Author : G.F. Helminck
Publisher : Springer
ISBN 13 : 9783540573654
Total Pages : 228 pages
Book Rating : 4.58/5 ( download)

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Download or read book Geometric and Quantum Aspects of Integrable Systems written by G.F. Helminck and published by Springer. This book was released on 1993-11-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of outstanding review papers on integrable systems. It gives the algebraic geometric aspects of the subject, describes integrability techniques e.g. for the modified KdV equation, integrability of Hamiltonian systems, hierarchies of equations, probability distribution of eigenvalues, and modern aspects of quantum groups. It addresses researchers in mathematics and mathematical physics.

Author : A.S. Fokas
Publisher : Springer Science & Business Media
ISBN 13 : 1461224349
Total Pages : 352 pages
Book Rating : 4.41/5 ( download)

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Download or read book Algebraic Aspects of Integrable Systems written by A.S. Fokas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles in memory of Irene Dorfman and her research in mathematical physics. Among the topics covered are: the Hamiltonian and bi-Hamiltonian nature of continuous and discrete integrable equations; the t-function construction; the r-matrix formulation of integrable systems; pseudo-differential operators and modular forms; master symmetries and the Bocher theorem; asymptotic integrability; the integrability of the equations of associativity; invariance under Laplace-darboux transformations; trace formulae of the Dirac and Schrodinger periodic operators; and certain canonical 1-forms.

Author : Anton Dzhamay
Publisher :
ISBN 13 : 9781470427795
Total Pages : 194 pages
Book Rating : 4.96/5 ( download)

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Download or read book Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations written by Anton Dzhamay and published by . This book was released on 2015 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations, held on January 18, 2014, at the Joint Mathematics Meetings in Baltimore, MD. The theory of integrable systems has been at the forefront of some of the most important developments in mathematical physics in the last 50 years. The techniques to study such systems have solid foundations in algebraic geometry, differential geometry, and group representation theory. Many important special solutions of continuous and discrete integrable systems can be written in terms of special functions such as hypergeometric and basic hypergeometric functions. The analytic tools developed to study integrable systems have numerous applications in random matrix theory, statistical mechanics and quantum gravity. One of the most exciting recent developments has been the emergence of good and interesting discrete and quantum analogues of classical integrable differential equations, such as the Painlevé equations and soliton equations. Many algebraic and analytic ideas developed in the continuous case generalize in a beautifully natural manner to discrete integrable systems. The editors have sought to bring together a collection of expository and research articles that represent a good cross section of ideas and methods in these active areas of research within integrable systems and their applications

Author : Anton Dzhamay
Publisher : American Mathematical Soc.
ISBN 13 : 1470416549
Total Pages : 210 pages
Book Rating : 4.46/5 ( download)

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Download or read book Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations written by Anton Dzhamay and published by American Mathematical Soc.. This book was released on 2015-10-28 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations, held on January 18, 2014, at the Joint Mathematics Meetings in Baltimore, MD. The theory of integrable systems has been at the forefront of some of the most important developments in mathematical physics in the last 50 years. The techniques to study such systems have solid foundations in algebraic geometry, differential geometry, and group representation theory. Many important special solutions of continuous and discrete integrable systems can be written in terms of special functions such as hypergeometric and basic hypergeometric functions. The analytic tools developed to study integrable systems have numerous applications in random matrix theory, statistical mechanics and quantum gravity. One of the most exciting recent developments has been the emergence of good and interesting discrete and quantum analogues of classical integrable differential equations, such as the Painlevé equations and soliton equations. Many algebraic and analytic ideas developed in the continuous case generalize in a beautifully natural manner to discrete integrable systems. The editors have sought to bring together a collection of expository and research articles that represent a good cross section of ideas and methods in these active areas of research within integrable systems and their applications.