Ergodic Theory and Zd Actions
Published on 28. March 1996
Book
Paperback/Softback
496 pages
978-0-521-57688-8 (ISBN)
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. 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.
Reviews / Votes
' ... 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 Mathematique 'The book will serve as a valuable resource of information and motivation for specialists.' European Mathematical Society NewsletterMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 29 mm
Weight
798 gr
ISBN-13
978-0-521-57688-8 (9780521576888)
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Schweitzer Classification
Other editions
Additional editions
Mark Pollicott | Klaus Schmidt
Ergodic Theory and Zd Actions
E-Book
04/2011
1st Edition
Cambridge University Press
€66.49
Available for download
Persons
Content
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.