Author : Mark Pinsky
Publisher : Cambridge University Press
Page : 405 pages
File Size : 20,98 MB
Release : 2008-03-17
Category : Mathematics
ISBN : 0521895278
Reflects the range of mathematical interests of Henry McKean, to whom it is dedicated.
Author : Ron Donagi
Publisher : Cambridge University Press
Page : 537 pages
File Size : 47,72 MB
Release : 2020-03-02
Category : Mathematics
ISBN : 110871577X
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Author : Ron Donagi
Publisher : Cambridge University Press
Page : 421 pages
File Size : 47,24 MB
Release : 2020-04-02
Category : Mathematics
ISBN : 110880358X
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
Author : Ron Donagi
Publisher : Cambridge University Press
Page : 537 pages
File Size : 17,64 MB
Release : 2020-04-02
Category : Mathematics
ISBN : 1108805337
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. The articles in this second volume discuss areas related to algebraic geometry, emphasizing the connections of this central subject to integrable systems, arithmetic geometry, Riemann surfaces, coding theory and lattice theory.
Author : Jinho Baik
Publisher : American Mathematical Soc.
Page : 448 pages
File Size : 42,20 MB
Release : 2008
Category : Mathematics
ISBN : 0821842404
This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflected the wide-ranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics, as well as their appearance in combinatorial models such as TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the Camassa-Holm equation and the Toda lattice. A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinants, special functions, Riemann-Hilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory and the theory of integrable systems.
Author : Anton Dzhamay
Publisher : American Mathematical Soc.
Page : 363 pages
File Size : 43,35 MB
Release : 2013-06-26
Category : Mathematics
ISBN : 0821887475
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 : Marek Capinski
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 41,30 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1447136314
This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on measure, many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities, are opened. The book also includes many problems and their fully worked solutions.
Author : V. M. Buchstaber
Publisher : American Mathematical Soc.
Page : 408 pages
File Size : 17,54 MB
Release : 2014-11-18
Category : Mathematics
ISBN : 1470418711
Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 2012-2014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.
Author : Percy Deift
Publisher : Cambridge University Press
Page : 539 pages
File Size : 30,51 MB
Release : 2014-12-15
Category : Language Arts & Disciplines
ISBN : 1107079926
This volume includes review articles and research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles.
Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 14,50 MB
Release : 2018-09-27
Category : Business & Economics
ISBN : 1108415199
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
