Averages Along the Squares on the Torus

Kapitel in diesem Buch

1. Frontmatter i
2. Preface v
3. Contents vii
4. Furstenberg Fractals 1
5. A Survey of the Return Times Theorem 19
6. Characterizations of Distal and Equicontinuous Extensions 59
7. Averages Along the Squares on the Torus 67
8. Stepped Hyperplane and Extension of the Three Distance Theorem 81
9. Remarks on Step Cocycles over Rotations, Centralizers and Coboundaries 93
10. Hamilton’s Theorem for Smooth Lie Group Actions 117
11. Mixing Automorphisms which are Markov Quasi-Equivalent but not Weakly Isomorphic 129
12. On the Strong Convolution Singularity Property 139
13. Fractal Geometry of Non-Uniformly Hyperbolic Horseshoes 197
14. Adic Flows, Transversal Flows, and Horocycle Flows 241
15. Uniform Rigidity Sequences for Topologically WeaklyMixing Homeomorphisms 261