The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates - 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 The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates write by Robert J. Buckingham. This book was released on 2013-08-23. The Sine-Gordon Equation in the Semiclassical Limit: Dynamics of Fluxon Condensates available in PDF, EPUB and Kindle. The authors study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions. These formulae demonstrate consistency with predictions of Whitham's formal modulation theory in both the hyperbolic (modulationally stable) and elliptic (modulationally unstable) cases.
The Sine-Gordon Equation in the Semiclassical Limit
The Sine-Gordon Equation in the Semiclassical Limit - 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 The Sine-Gordon Equation in the Semiclassical Limit write by Robert J. Buckingham. This book was released on 2014-09-11. The Sine-Gordon Equation in the Semiclassical Limit available in PDF, EPUB and Kindle. September 2013, volume 225, number 1059 (fourth of 4 numbers).
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
Generalized Descriptive Set Theory and Classification Theory
Generalized Descriptive Set Theory and Classification Theory - 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 Generalized Descriptive Set Theory and Classification Theory write by Sy-David Friedman. This book was released on 2014-06-05. Generalized Descriptive Set Theory and Classification Theory available in PDF, EPUB and Kindle. Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper the authors study the generalization where countable is replaced by uncountable. They explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility. The study shows that the descriptive set theory looks very different in this generalized setting compared to the classical, countable case. They also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations. The authors' results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.
Index Theory for Locally Compact Noncommutative Geometries
Index Theory for Locally Compact Noncommutative Geometries - 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 Index Theory for Locally Compact Noncommutative Geometries write by A. L. Carey. This book was released on 2014-08-12. Index Theory for Locally Compact Noncommutative Geometries available in PDF, EPUB and Kindle. Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, the authors prove the local index formula for spectral triples over nonunital algebras, without the assumption of local units in our algebra. This formula has been successfully used to calculate index pairings in numerous noncommutative examples. The absence of any other effective method of investigating index problems in geometries that are genuinely noncommutative, particularly in the nonunital situation, was a primary motivation for this study and the authors illustrate this point with two examples in the text. In order to understand what is new in their approach in the commutative setting the authors prove an analogue of the Gromov-Lawson relative index formula (for Dirac type operators) for even dimensional manifolds with bounded geometry, without invoking compact supports. For odd dimensional manifolds their index formula appears to be completely new.
