Ergodic Theory And Zd Actions: ERGODIC THEORY & ZD ACTIONS by Mark PollicottErgodic Theory And Zd Actions: ERGODIC THEORY & ZD ACTIONS by Mark Pollicott

Ergodic Theory And Zd Actions: ERGODIC THEORY & ZD ACTIONS

EditorMark Pollicott, Klaus Schmidt, J. W. S. Cassels

Paperback | April 26, 1996

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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.
Title:Ergodic Theory And Zd Actions: ERGODIC THEORY & ZD ACTIONSFormat:PaperbackDimensions:496 pages, 8.98 × 5.98 × 1.1 inPublished:April 26, 1996Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521576881

ISBN - 13:9780521576888

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Table of Contents

Part I. Surveys: 1. Ergodic Ramsey theory V. Bergelson; 2. Flows on homogeneous spaces S. Dani; 3. The variational principle for Hausdorff dimension D. Gatzouras and Y. Peres; 4. Boundaries of invariant Markov operators V. Kaimanovic; 5. Squaring and cubing the circle W. Parry; 6. Recent K-theoretic invariants for dynamical systems I. Putnam; 7. Miles of tiles C. Radin; 8. Overlapping cylinders K. Simon; Part II. Research Papers: 1. Uniformity in the polynomial Szemerdi theorem V. Bergelson and R. McCutcheon; 2. Some 2-d symbolic dynamic systems R. Burton and J. Steif; 3. Rigid subshifts K. Eloranta; 4. Entropy of graphs, semigroups and groups S. Friedland; 5. Integers in linear numeration systems C. Frougny and B. Solomyak; 6. Ergodic transforms conjugate to their inverses G. Goodson; 7. Approximation by periodic transformations A. Iwanik; 8. Invariant s-algebras and their applications B. Kaminski; 9. Large deviations for paths and configurations counting Y. Kifer; 10. A zeta function for Zd actions D. Lind; 11. The dynamical theory of tilings and quasicrystals E. Robinson; 12. Approximations of groups and group actions, Cayley topology A. Stepin.

Editorial Reviews

'The book will serve as a valuable resource of information and motivation for specialists.' European Mathematical Society Newsletter