Ergodic Theory and Zd Actions
Ergodic Theory and Zd Actions
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USDThe 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.
- The leading researchers have contributed
- First book solely on this subject
Reviews & endorsements
' … 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
Product details
April 2011Adobe eBook Reader
9780511893308
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
