Ergodic Theory and Zd Actions
Ergodic Theory and Zd Actions
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GBPThe 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. 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. Researchers in ergodic theory and related fields will find that this book is an invaluable resource.
- 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
March 1996Paperback
9780521576888
496 pages
228 × 152 × 28 mm
0.666kg
Available
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.
