Topological Dynamics Of Random Dynamical Systems
Download Topological Dynamics Of Random Dynamical Systems full books in PDF, epub, and Kindle. Read online free Topological Dynamics Of Random Dynamical Systems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Topological Dynamics of Random Dynamical Systems
Author | : Nguyen Dinh Cong |
Publsiher | : Oxford University Press |
Total Pages | : 216 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 0198501579 |
Download Topological Dynamics of Random Dynamical Systems Book in PDF, Epub and Kindle
This book is the first systematic treatment of the theory of topological dynamics of random dynamical systems. A relatively new field, the theory of random dynamical systems unites and develops the classical deterministic theory of dynamical systems and probability theory, finding numerous applications in disciplines ranging from physics and biology to engineering, finance and economics. This book presents in detail the solutions to the most fundamental problems of topological dynamics: linearization of nonlinear smooth systems, classification, and structural stability of linear hyperbolic systems. Employing the tools and methods of algebraic ergodic theory, the theory presented in the book has surprisingly beautiful results showing the richness of random dynamical systems as well as giving a gentle generalization of the classical deterministic theory.
Smooth Ergodic Theory of Random Dynamical Systems
Author | : Pei-Dong Liu,Min Qian |
Publsiher | : Springer |
Total Pages | : 233 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540492917 |
Download Smooth Ergodic Theory of Random Dynamical Systems Book in PDF, Epub and Kindle
This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed.
Smooth Ergodic Theory of Random Dynamical Systems
Author | : Pei-Dong Liu,Min Qian |
Publsiher | : Unknown |
Total Pages | : 240 |
Release | : 2014-01-15 |
Genre | : Electronic Book |
ISBN | : 3662200198 |
Download Smooth Ergodic Theory of Random Dynamical Systems Book in PDF, Epub and Kindle
Random Dynamical Systems
Author | : Ludwig Arnold |
Publsiher | : Springer Science & Business Media |
Total Pages | : 590 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9783662128787 |
Download Random Dynamical Systems Book in PDF, Epub and Kindle
The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for linear algebra. On its basis, many applications are detailed. Numerous instructive examples are treated analytically or numerically.
Local Entropy Theory of a Random Dynamical System
Author | : Anthony H. Dooley, Guohua Zhang |
Publsiher | : American Mathematical Soc. |
Total Pages | : 106 |
Release | : 2014-12-20 |
Genre | : Mathematics |
ISBN | : 9781470410551 |
Download Local Entropy Theory of a Random Dynamical System Book in PDF, Epub and Kindle
In this paper the authors extend the notion of a continuous bundle random dynamical system to the setting where the action of R or N is replaced by the action of an infinite countable discrete amenable group. Given such a system, and a monotone sub-additive invariant family of random continuous functions, they introduce the concept of local fiber topological pressure and establish an associated variational principle, relating it to measure-theoretic entropy. They also discuss some variants of this variational principle. The authors introduce both topological and measure-theoretic entropy tuples for continuous bundle random dynamical systems, and apply variational principles to obtain a relationship between these of entropy tuples. Finally, they give applications of these results to general topological dynamical systems, recovering and extending many recent results in local entropy theory.
Dynamics and Randomness
Author | : Alejandro Maass,Servet Martínez,Jaime San Martín |
Publsiher | : Springer Science & Business Media |
Total Pages | : 279 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9789401003452 |
Download Dynamics and Randomness Book in PDF, Epub and Kindle
This book contains the lectures given at the Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile from December 11th to 15th, 2000. This meeting brought together mathematicians, theoretical physicists and theoretical computer scientists, and graduate students interested in fields re lated to probability theory, ergodic theory, symbolic and topological dynam ics. We would like to express our gratitude to all the participants of the con ference and to the people who contributed to its organization. In particular, to Pierre Collet, Bernard Host and Mike Keane for their scientific advise. VVe want to thank especially the authors of each chapter for their well prepared manuscripts and the stimulating conferences they gave at Santiago. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: ECOS-CONICYT, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship and Universidad de Chile. We are grateful to Ms. Gladys Cavallone for their excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book.
The General Topology of Dynamical Systems
Author | : Ethan Akin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 273 |
Release | : 1993 |
Genre | : Differentiable dynamical systems |
ISBN | : 9780821849323 |
Download The General Topology of Dynamical Systems Book in PDF, Epub and Kindle
Recent work in dynamical systems theory has both highlighted certain topics in the pre-existing subject of topological dynamics (such as the construction of Lyapunov functions and various notions of stability) and also generated new concepts and results. This book collects these results, both old and new, and organises them into a natural foundation for all aspects of dynamical systems theory.
Dynamics and Randomness II
Author | : Alejandro Maass,Servet Martínez,Jaime San Martín |
Publsiher | : Springer Science & Business Media |
Total Pages | : 244 |
Release | : 2004-05-31 |
Genre | : Mathematics |
ISBN | : 1402019904 |
Download Dynamics and Randomness II Book in PDF, Epub and Kindle
This book contains the lectures given at the Second Conference on Dynamics and Randomness held at the Centro de Modelamiento Matemático of the Universidad de Chile, from December 9-13, 2003. This meeting brought together mathematicians, theoretical physicists, theoretical computer scientists, and graduate students interested in fields related to probability theory, ergodic theory, symbolic and topological dynamics. The courses were on: -Some Aspects of Random Fragmentations in Continuous Times; -Metastability of Ageing in Stochastic Dynamics; -Algebraic Systems of Generating Functions and Return Probabilities for Random Walks; -Recurrent Measures and Measure Rigidity; -Stochastic Particle Approximations for Two-Dimensional Navier Stokes Equations; and -Random and Universal Metric Spaces. The intended audience for this book is Ph.D. students on Probability and Ergodic Theory as well as researchers in these areas. The particular interest of this book is the broad areas of problems that it covers. We have chosen six main topics and asked six experts to give an introductory course on the subject touching the latest advances on each problem.