Restricted Orbit Equivalence for Actions of Discrete Amenable Groups

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Publisher : Cambridge University Press
ISBN 13 : 9780521807951
Total Pages : 220 pages
Book Rating : 4.8/5 (79 download)

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Book Synopsis Restricted Orbit Equivalence for Actions of Discrete Amenable Groups by : Janet Whalen Kammeyer

Download or read book Restricted Orbit Equivalence for Actions of Discrete Amenable Groups written by Janet Whalen Kammeyer and published by Cambridge University Press. This book was released on 2002-04-18 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a broad investigative tool in ergodic theory and measurable dynamics. The motivation for this work is that one may measure how similar two dynamical systems are by asking how much the time structure of orbits of one system must be distorted for it to become the other. Different restrictions on the allowed distortion will lead to different restricted orbit equivalence theories. These include Ornstein's Isomorphism theory, Kakutani Equivalence theory and a list of others. By putting such restrictions in an axiomatic framework, a general approach is developed that encompasses all of these examples simultaneously and gives insight into how to seek further applications.

Ergodic Theory

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Publisher : Springer Nature
ISBN 13 : 1071623885
Total Pages : 707 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Ergodic Theory by : Cesar E. Silva

Download or read book Ergodic Theory written by Cesar E. Silva and published by Springer Nature. This book was released on 2023-07-31 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Trends In Probability And Related Analysis - Proceedings Of Sap'98

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Publisher : World Scientific
ISBN 13 : 9814543527
Total Pages : 322 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Trends In Probability And Related Analysis - Proceedings Of Sap'98 by : N Kono

Download or read book Trends In Probability And Related Analysis - Proceedings Of Sap'98 written by N Kono and published by World Scientific. This book was released on 1999-10-19 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume reflects the current interest in and future direction of probability theory and related theory of analysis and statistics. It contains 2 survey papers and 21 contributed papers.

Topological Dynamics and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821806084
Total Pages : 348 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topological Dynamics and Applications by : Robert Ellis

Download or read book Topological Dynamics and Applications written by Robert Ellis and published by American Mathematical Soc.. This book was released on 1998 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a very readable exposition of the modern theory of topological dynamics and presents diverse applications to such areas as ergodic theory, combinatorial number theory and differential equations. There are three parts: 1) The abstract theory of topological dynamics is discussed, including a comprehensive survey by Furstenberg and Glasner on the work and influence of R. Ellis. Presented in book form for the first time are new topics in the theory of dynamical systems, such as weak almost-periodicity, hidden eigenvalues, a natural family of factors and topological analogues of ergodic decomposition. 2) The power of abstract techniques is demonstrated by giving a very wide range of applications to areas of ergodic theory, combinatorial number theory, random walks on groups and others. 3) Applications to non-autonomous linear differential equations are shown. Exposition on recent results about Floquet theory, bifurcation theory and Lyapanov exponents is given.

Mathematics of Complexity and Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461418054
Total Pages : 1885 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematics of Complexity and Dynamical Systems by : Robert A. Meyers

Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

The Cube-A Window to Convex and Discrete Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521855358
Total Pages : 196 pages
Book Rating : 4.8/5 (553 download)

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Book Synopsis The Cube-A Window to Convex and Discrete Geometry by : Chuanming Zong

Download or read book The Cube-A Window to Convex and Discrete Geometry written by Chuanming Zong and published by Cambridge University Press. This book was released on 2006-02-02 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.

Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings

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Publisher : Cambridge University Press
ISBN 13 : 9781139452434
Total Pages : 170 pages
Book Rating : 4.4/5 (524 download)

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Book Synopsis Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings by : Robert R. Colby

Download or read book Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings written by Robert R. Colby and published by Cambridge University Press. This book was released on 2004-03-22 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.

Handbook of Dynamical Systems

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Publisher : Elsevier
ISBN 13 : 0080478220
Total Pages : 1235 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbook of Dynamical Systems by : A. Katok

Download or read book Handbook of Dynamical Systems written by A. Katok and published by Elsevier. This book was released on 2005-12-17 with total page 1235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey “Principal Structures of Volume 1A.The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations). . Written by experts in the field.. The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems.

Modern Dynamical Systems and Applications

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Publisher : Cambridge University Press
ISBN 13 : 9780521840736
Total Pages : 490 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Modern Dynamical Systems and Applications by : Michael Brin

Download or read book Modern Dynamical Systems and Applications written by Michael Brin and published by Cambridge University Press. This book was released on 2004-08-16 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.

Linear and Projective Representations of Symmetric Groups

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Publisher : Cambridge University Press
ISBN 13 : 9780521837033
Total Pages : 304 pages
Book Rating : 4.8/5 (37 download)

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Book Synopsis Linear and Projective Representations of Symmetric Groups by : Aleksandr Sergeevich Kleshchëv

Download or read book Linear and Projective Representations of Symmetric Groups written by Aleksandr Sergeevich Kleshchëv and published by Cambridge University Press. This book was released on 2005-06-30 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kleshchev describes a new approach to the subject of the representation theory of symmetric groups.

Lévy Processes in Lie Groups

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Publisher : Cambridge University Press
ISBN 13 : 9780521836531
Total Pages : 292 pages
Book Rating : 4.8/5 (365 download)

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Book Synopsis Lévy Processes in Lie Groups by : Ming Liao

Download or read book Lévy Processes in Lie Groups written by Ming Liao and published by Cambridge University Press. This book was released on 2004-05-10 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Up-to-the minute research on important stochastic processes.

Permutation Group Algorithms

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Publisher : Cambridge University Press
ISBN 13 : 9780521661034
Total Pages : 292 pages
Book Rating : 4.6/5 (61 download)

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Book Synopsis Permutation Group Algorithms by : Ákos Seress

Download or read book Permutation Group Algorithms written by Ákos Seress and published by Cambridge University Press. This book was released on 2003-03-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Finite Packing and Covering

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Publisher : Cambridge University Press
ISBN 13 : 9780521801577
Total Pages : 406 pages
Book Rating : 4.8/5 (15 download)

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Book Synopsis Finite Packing and Covering by : K. Böröczky

Download or read book Finite Packing and Covering written by K. Böröczky and published by Cambridge University Press. This book was released on 2004-08-02 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.

The Covering Property Axiom, CPA

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Publisher : Cambridge University Press
ISBN 13 : 9781139454742
Total Pages : 206 pages
Book Rating : 4.4/5 (547 download)

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Book Synopsis The Covering Property Axiom, CPA by : Krzysztof Ciesielski

Download or read book The Covering Property Axiom, CPA written by Krzysztof Ciesielski and published by Cambridge University Press. This book was released on 2004-08-23 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here the authors formulate and explore a new axiom of set theory, CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated Sacks model and actually captures the combinatorial core of this model. A plethora of results known to be true in the Sacks model easily follow from CPA. Replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides deeper insight, and leads to new results. One may say that CPA is similar in nature to Martin's axiom, as both capture the essence of the models of ZFC in which they hold. The exposition is self contained and there are natural applications to real analysis and topology. Researchers who use set theory in their work will find much of interest in this book.

The Lévy Laplacian

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Publisher : Cambridge University Press
ISBN 13 : 9781139447966
Total Pages : 174 pages
Book Rating : 4.4/5 (479 download)

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Book Synopsis The Lévy Laplacian by : M. N. Feller

Download or read book The Lévy Laplacian written by M. N. Feller and published by Cambridge University Press. This book was released on 2005-11-24 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the Lévy–Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy–Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang–Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.

Ergodic Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0857290215
Total Pages : 486 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Ergodic Theory by : Manfred Einsiedler

Download or read book Ergodic Theory written by Manfred Einsiedler and published by Springer Science & Business Media. This book was released on 2010-09-11 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.

Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

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Publisher : Cambridge University Press
ISBN 13 : 9780521850643
Total Pages : 210 pages
Book Rating : 4.8/5 (56 download)

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Book Synopsis Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations by : Dagmar M. Meyer

Download or read book Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations written by Dagmar M. Meyer and published by Cambridge University Press. This book was released on 2005-08-18 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monograph demonstrating remarkable and unexpected interdisciplinary connections in the areas of commutative algebra, invariant theory and algebraic topology.