Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations write by Anton Dzhamay. This book was released on 2015-10-28. Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations available in PDF, EPUB and Kindle. 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.
Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations
Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations write by Anton Dzhamay. This book was released on 2012. Algebraic and Analytic Aspects of Integrable Systems and Painleve Equations available in PDF, EPUB and Kindle.
Algebraic Integrability, Painlevé Geometry and Lie Algebras
Algebraic Integrability, Painlevé Geometry and Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Integrability, Painlevé Geometry and Lie Algebras write by Mark Adler. This book was released on 2013-03-14. Algebraic Integrability, Painlevé Geometry and Lie Algebras available in PDF, EPUB and Kindle. This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.
Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations
Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations write by Anton Dzhamay. This book was released on 2015. Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations available in PDF, EPUB and Kindle. 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
Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
Algebraic and Geometric Aspects of Integrable Systems and Random Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Geometric Aspects of Integrable Systems and Random Matrices write by Anton Dzhamay. This book was released on 2013-06-26. Algebraic and Geometric Aspects of Integrable Systems and Random Matrices available in PDF, EPUB and Kindle. 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
