' … 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

• 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.

' … 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

• 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.