Ergodic Theory and Dynamical Systems
eBook - PDF

Ergodic Theory and Dynamical Systems

Proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011-2012

  1. 286 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Ergodic Theory and Dynamical Systems

Proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011-2012

About this book

This is the proceedings of the workshop on recent developments in ergodic theory and dynamical systems on March 2011 and March 2012 at the University of North Carolina at Chapel Hill.

The articles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller dynamics, interval exchange transformations, continued fractions, return times averages, Furstenberg Fractals, fractal geometry of non-uniformly hyperbolic horseshoes, convergence along the sequence of squares, adic and horocycle flows, and topological flows. These contributions illustrate the connections between ergodic theory and dynamical systems, number theory, harmonic analysis, probability, and algebra. Two surveys are included which give a nice introduction for interested young or senior researcher to some active research areas. Overall this volume provides a very useful blend of techniques and methods as well as directions of research on general convergence phenomena in ergodic theory and dynamical systems.

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Yes, you can access Ergodic Theory and Dynamical Systems by Idris Assani in PDF and/or ePUB format, as well as other popular books in Mathématiques & Mathématiques générales. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2013
Print ISBN
9783110298130
eBook ISBN
9783110298208
Edition
1
Topic
Mathématiques
Subtopic
Mathématiques générales

Table of contents

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