The classical theory of dynamical systems has tended to concentrate on Z-actions or R-actions. In recent years, however, there has been considerable progress in the study of higher dimensional actions (i.e. Zd or Rd with d>1). This book represents the proceedings of the 1993-4 Warwick Symposium on Zd actions. It comprises a mixture of surveys and original articles that span many of the diverse facets of the subject, including important connections with statistical mechanics, number theory and algebra.
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Editorial Reviews
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' ... a valuable addition to the literature ... this book gives a very clear impression of many of the main areas of active research in Zd actions.' Thomas Ward, Ergodic Theory & Dynamical Systems
' ... comprises a mixture of surveys and original articles ... including important connections.' L'Enseignement Mathématique
'The book will serve as a valuable resource of information and motivation for specialists.' European Mathematical Society Newsletter
' ... comprises a mixture of surveys and original articles ... including important connections.' L'Enseignement Mathématique
'The book will serve as a valuable resource of information and motivation for specialists.' European Mathematical Society Newsletter
Book Description
The classical theory of dynamical systems has tended to concentrate on Z-actions or R-actions. However in recent years there has been considerable progress in the study of higher dimensional actions (i.e. Zd or Rd with d>1). This book represents the proceedings of the 1993-4 Warwick Symposium on Zd actions.
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This survey is an expanded version and elaboration of the material presented by the author at the Workshop on Algebraic and Number Theoretic Aspects of Ergodic Theory which was held in April 1994 as part of the 1993/1994 Warwick Symposium on Dynamics of Zn-actions and their connections with Commutative Algebra, Number Theory and Statistical Mechanics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
visibility compactification, tiling dynamical systems, weakly mixing extension, invertible probability measure preserving system, nontrivial compact factors, minimal harmonic functions, strip criterion, essential spanning forest, maximal distal factor, horospherical flows, unipotent flows, pinwheel tilings, horospherical subgroups, proving maximality, idempotent ultrafilters, ergodic rotation, weak closure property, finite coloring, combinatorial line, topological group isomorphism, standard automorphisms, topological recurrence, invertible measure preserving transformations, horocycle flow, simultaneous diophantine approximation Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, London Math, Springer Verlag, Duke Math, Iceberg Model, Marina Ratner, Nimish Shah, Soviet Math, Academic Press, Cambridge University Press, Acta Math, Princeton University Press, Proceedings of the Conference, Pure Math, Applying Theorem, G-invariant Markov, Russian Math, Studia Math, Very Weak Bernoulli, Annals of Probability, Contemporary Mathematics, Memoirs Amer, Uspekhi Mat New!
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This survey is an expanded version and elaboration of the material presented by the author at the Workshop on Algebraic and Number Theoretic Aspects of Ergodic Theory which was held in April 1994 as part of the 1993/1994 Warwick Symposium on Dynamics of Zn-actions and their connections with Commutative Algebra, Number Theory and Statistical Mechanics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
visibility compactification, tiling dynamical systems, weakly mixing extension, invertible probability measure preserving system, nontrivial compact factors, minimal harmonic functions, strip criterion, essential spanning forest, maximal distal factor, horospherical flows, unipotent flows, pinwheel tilings, horospherical subgroups, proving maximality, idempotent ultrafilters, ergodic rotation, weak closure property, finite coloring, combinatorial line, topological group isomorphism, standard automorphisms, topological recurrence, invertible measure preserving transformations, horocycle flow, simultaneous diophantine approximation Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, London Math, Springer Verlag, Duke Math, Iceberg Model, Marina Ratner, Nimish Shah, Soviet Math, Academic Press, Cambridge University Press, Acta Math, Princeton University Press, Proceedings of the Conference, Pure Math, Applying Theorem, G-invariant Markov, Russian Math, Studia Math, Very Weak Bernoulli, Annals of Probability, Contemporary Mathematics, Memoirs Amer, Uspekhi Mat New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 34
books:
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- Harmonic Analysis and Discrete Potential Theory by M.A. Picardello on page 169, page 173, and page 175
- Ergodic Theory (Cambridge Studies in Advanced Mathematics) by Karl E. Petersen on page 60, page 107, and page 401
- An Introduction to Ergodic Theory (Graduate Texts in Mathematics) by Peter Walters on page 111, and page 343
- Ergodic Theory (Grundlehren der mathematischen Wissenschaften) by I. P. Kornfeld on page 106, and page 401
- Fundamentals of the Theory of Operator Algebras (Graduate Studies in Mathematics, V. 15) by John R. Ringrose Richard V. Kadison on page 234
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