Ergodic Theory and Zd Actions

Front Cover
Cambridge University Press, Mar 28, 1996 - Mathematics - 484 pages
0 Reviews
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Ergodic Ramsey Theoryan Update
1
a review
63
A Survey
113
Boundaries Of Invariant Markov Operators The Identification Problem
127
Squaring And Cubing The Circle RudolphS Theorem
177
A Survey of Recent KTheoretic Invariants for Dynamical Systems
185
Miles of Tile
237
the size of a dynamically defined Cantorset
259
A note on certain rigid subshifts
307
On Representation of Integers in Linear Numeration Systems
345
The structure of ergodic transformations conjugate to their inverses
369
Approximation by periodic transformations and diophantine approximation of the spectrum
387
Invariant algebras for σactions and their applications
403
Large Deviations For Paths And Configurations Counting
415
A Zeta Function For ZActions
433
The Dynamical Theory Of Tilings And Quasicrystallography
451

Uniformity in the Polynomial Szemerédi Theorem
273
Entropy and Mixing
297
Approximation Of Groups And Group Actions The Cayley Topology
475
Copyright

Common terms and phrases