Rigidity In Higher Rank Abelian Group Actions Volume 1 Introduction And Cocycle Problem PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Rigidity In Higher Rank Abelian Group Actions Volume 1 Introduction And Cocycle Problem PDF full book. Access full book title Rigidity In Higher Rank Abelian Group Actions Volume 1 Introduction And Cocycle Problem.
Author | : A. B. Katok |
Publisher | : |
Total Pages | : 313 |
Release | : 2011 |
Genre | : Abelian groups |
ISBN | : 9781107218888 |
Download Introduction and Cocycle Problem Book in PDF, ePub and Kindle
Ideal for researchers in all aspects of dynamical systems and a useful introduction for graduate students entering the field.
Author | : A. B. Katok |
Publisher | : |
Total Pages | : 321 |
Release | : 2014-05-14 |
Genre | : Abelian groups |
ISBN | : 9781139092807 |
Download Rigidity in Higher Rank Abelian Group Actions, Volume 1 Book in PDF, ePub and Kindle
Ideal for researchers in all aspects of dynamical systems and a useful introduction for graduate students entering the field.
Author | : Anatole Katok |
Publisher | : Cambridge University Press |
Total Pages | : 320 |
Release | : 2011-06-16 |
Genre | : Mathematics |
ISBN | : 1139496867 |
Download Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem Book in PDF, ePub and Kindle
This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems.
Author | : Viorel Nitica |
Publisher | : |
Total Pages | : |
Release | : 2011 |
Genre | : |
ISBN | : |
Download Rigidity in Higher Rank Abelian Group Actions, Volume I Book in PDF, ePub and Kindle
This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems.
Author | : Radoslav Dimitric |
Publisher | : Cambridge University Press |
Total Pages | : 330 |
Release | : 2019 |
Genre | : Mathematics |
ISBN | : 110847442X |
Download Slenderness Book in PDF, ePub and Kindle
A leading expert presents a unified concept of slenderness in Abelian categories, with numerous open problems and exercises.
Author | : Anatole Katok |
Publisher | : Cambridge University Press |
Total Pages | : 320 |
Release | : 2011-06-16 |
Genre | : Mathematics |
ISBN | : 9780521879095 |
Download Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem Book in PDF, ePub and Kindle
This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems.
Author | : Chungen Liu |
Publisher | : Springer |
Total Pages | : 333 |
Release | : 2019-05-22 |
Genre | : Mathematics |
ISBN | : 981137287X |
Download Index theory in nonlinear analysis Book in PDF, ePub and Kindle
This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). In addition, the book introduces readers to recent advances in the study of index theories for symmetric periodic solutions of nonlinear Hamiltonian systems, and for selected boundary value problems involving partial differential equations.
Author | : Luís Barreira |
Publisher | : American Mathematical Society |
Total Pages | : 355 |
Release | : 2023-05-19 |
Genre | : Mathematics |
ISBN | : 1470470659 |
Download Introduction to Smooth Ergodic Theory Book in PDF, ePub and Kindle
This book is the first comprehensive introduction to smooth ergodic theory. It consists of two parts: the first introduces the core of the theory and the second discusses more advanced topics. In particular, the book describes the general theory of Lyapunov exponents and its applications to the stability theory of differential equations, the concept of nonuniform hyperbolicity, stable manifold theory (with emphasis on absolute continuity of invariant foliations), and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. A detailed description of all the basic examples of conservative systems with nonzero Lyapunov exponents, including the geodesic flows on compact surfaces of nonpositive curvature, is also presented. There are more than 80 exercises. The book is aimed at graduate students specializing in dynamical systems and ergodic theory as well as anyone who wishes to get a working knowledge of smooth ergodic theory and to learn how to use its tools. It can also be used as a source for special topics courses on nonuniform hyperbolicity. The only prerequisite for using this book is a basic knowledge of real analysis, measure theory, differential equations, and topology, although the necessary background definitions and results are provided. In this second edition, the authors improved the exposition and added more exercises to make the book even more student-oriented. They also added new material to bring the book more in line with the current research in dynamical systems.
Author | : João Lopes Dias |
Publisher | : Springer Nature |
Total Pages | : 184 |
Release | : 2023-11-29 |
Genre | : Mathematics |
ISBN | : 3031413164 |
Download New Trends in Lyapunov Exponents Book in PDF, ePub and Kindle
This volume presents peer-reviewed surveys on new developments in the study of Lyapunov exponents in dynamical systems and its applications to other areas, such as mathematical physics. Written by leading experts in their fields, the contributions are based upon the presentations given by invited speakers at the “New Trends in Lyapunov Exponents” workshop held in Lisbon, Portugal, February 7–11, 2022. The works focus on the concept of Lyapunov exponents in their various manifestations in dynamical systems along with their applications to mathematical physics and other areas of mathematics. The papers reflect the spirit of the conference of promoting new connections among different subjects in dynamical systems. This volume aims primarily at researchers and graduate students working in dynamical systems and related fields, serving as an introduction to active fields of research and as a review of recent results as well.
Author | : Cesar E. Silva |
Publisher | : Springer Nature |
Total Pages | : 707 |
Release | : 2023-07-31 |
Genre | : Mathematics |
ISBN | : 1071623885 |
Download Ergodic Theory Book in PDF, ePub and Kindle
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems. It enlightens connections of ergodic theory with symbolic dynamics, topological dynamics, smooth dynamics, combinatorics, number theory, pressure and equilibrium states, fractal geometry, chaos. In addition, the new edition includes dynamical systems of probabilistic origin, ergodic aspects of Sarnak's conjecture, translation flows on translation surfaces, complexity and classification of measurable systems, operator approach to asymptotic properties, interplay with operator algebras