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| Author | : F. Blanchard |
| Publisher | : Cambridge University Press |
| Total Pages | : 268 |
| Release | : 2000-06-29 |
| Genre | : Mathematics |
| ISBN | : 9780521796606 |
Download Topics in Symbolic Dynamics and Applications Book in PDF, ePub and Kindle
This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following two introduce 'high complexity' systems. The later chapters go on to deal with more specialised topics including ergodic theory, number theory, and one-dimensional dynamics.
| Author | : F. Blanchard |
| Publisher | : |
| Total Pages | : 245 |
| Release | : 2000 |
| Genre | : Symbolic dynamics |
| ISBN | : 9781107103870 |
Download Topics in Symbolic Dynamics and Applications Book in PDF, ePub and Kindle
This book, first published in 2000, is devoted to developments in symbolic dynamics and comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following two introduce 'high complexity' systems. Chapter five presents results on asymptotic laws for the random times of occurrence of rare events. Chapter six deals with diophantine problems and combinatorial Ramsey theory. Chapter seven looks at the dynamics of symbolic systems arising from numeration systems, and finally chapter eight gives a complete description of the symbolic dynamics of Lorenz maps.
| Author | : Susan G. Williams |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 168 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0821831577 |
Download Symbolic Dynamics and its Applications Book in PDF, ePub and Kindle
Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by discretizing space as well as time. The development of information theory gave impetus to the study of symbol sequences as objects in their own right. Today, symbolic dynamics has expanded to encompass multi-dimensional arrays of symbols and has found diverse applications both within and beyond mathematics. This volume is based on the AMS Short Course on Symbolic Dynamics and its Applications. It contains introductory articles on the fundamental ideas of the field and on some of its applications. Topics include the use of symbolic dynamics techniques in coding theory and in complex dynamics, the relation between the theory of multi-dimensional systems and the dynamics of tilings, and strong shift equivalence theory. Contributors to the volume are experts in the field and are clear expositors. The book is suitable for graduate students and research mathematicians interested in symbolic dynamics and its applications.
| Author | : Douglas Lind |
| Publisher | : Cambridge University Press |
| Total Pages | : 572 |
| Release | : 2021-01-21 |
| Genre | : Mathematics |
| ISBN | : 1108901964 |
Download An Introduction to Symbolic Dynamics and Coding Book in PDF, ePub and Kindle
Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and $C^*$-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.
| Author | : Douglas Lind |
| Publisher | : Cambridge University Press |
| Total Pages | : 571 |
| Release | : 2021-01-21 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 110882028X |
Download An Introduction to Symbolic Dynamics and Coding Book in PDF, ePub and Kindle
Elementary introduction to symbolic dynamics, updated to describe the main advances in the subject since the original publication in 1995.
| Author | : American Mathematical Society |
| Publisher | : American Mathematical Society(RI) |
| Total Pages | : 166 |
| Release | : 2014-05-10 |
| Genre | : MATHEMATICS |
| ISBN | : 9780821892756 |
Download Symbolic Dynamics and Its Applications Book in PDF, ePub and Kindle
Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by discretizing space as well as time. The development of information theory gave impetus to the study of symbol sequences as objects in their own right. Today, symbolic dynamics has expanded to encompass multi-dimensional arrays of symbols and has found diverse applications both within and beyond mathematics. This volume is based on the AMS Short Course on Symbolic Dynamics and its Applications. It some of its applications. Topics include the use of symbolic dynamics techniques in coding theory and in complex dynamics, the relation between the theory of multi-dimensional systems and the dynamics of tilings, and strong and are clear expositors. The book is suitable for graduate students and research mathematicians interested in symbolic dynamics and its applications.
| Author | : Peter Walters |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 472 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 0821851462 |
Download Symbolic Dynamics and its Applications Book in PDF, ePub and Kindle
This volume contains the proceedings of the conference, Symbolic Dynamics and its Applications, held at Yale University in the summer of 1991 in honour of Roy L. Adler on his sixtieth birthday. The conference focused on symbolic dynamics and its applications to other fields, including: ergodic theory, smooth dynamical systems, information theory, automata theory, and statistical mechanics. Featuring a range of contributions from some of the leaders in the field, this volume presents an excellent overview of the subject.
| Author | : Valérie Berthé |
| Publisher | : Cambridge University Press |
| Total Pages | : 496 |
| Release | : 2016-02-26 |
| Genre | : Computers |
| ISBN | : 1107077028 |
Download Combinatorics, Words and Symbolic Dynamics Book in PDF, ePub and Kindle
Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.
| Author | : Bai-lin Hao |
| Publisher | : World Scientific |
| Total Pages | : 468 |
| Release | : 1998 |
| Genre | : Science |
| ISBN | : 9789810235123 |
Download Applied Symbolic Dynamics and Chaos Book in PDF, ePub and Kindle
Symbolic dynamics is a coarse-grained description of dynamics. It provides a rigorous way to understand the global systematics of periodic and chaotic motion in a system. In the last decade it has been applied to nonlinear systems described by one- and two-dimensional maps as well as by ordinary differential equations. This book will help practitioners in nonlinear science and engineering to master that powerful tool.
| Author | : Michael Brin |
| Publisher | : Cambridge University Press |
| Total Pages | : 0 |
| Release | : 2015-11-05 |
| Genre | : Mathematics |
| ISBN | : 9781107538948 |
Download Introduction to Dynamical Systems Book in PDF, ePub and Kindle
This book provides a broad introduction to the subject of dynamical systems, suitable for a one or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and then use these examples throughout the book to motivate and clarify the development of the theory. Topics include topological dynamics, symbolic dynamics, ergodic theory, hyperbolic dynamics, one-dimensional dynamics, complex dynamics, and measure-theoretic entropy. The authors top off the presentation with some beautiful and remarkable applications of dynamical systems to areas such as number theory, data storage, and internet search engines.
