Book contents
- Frontmatter
- Contents
- Foreword
- Quantitative symplectic geometry
- Local rigidity of group actions: past, present, future
- Le lemme d'Ornstein–Weiss d'après Gromov
- Entropy of holomorphic and rational maps: a survey
- Causes of stretching of Birkhoff sums and mixing in flows on surfaces
- Solenoid functions for hyperbolic sets on surfaces
- Random walks derived from billiards
- An aperiodic tiling using a dynamical system and Beatty sequences
- A Halmos–von Neumann theorem for model sets, and almost automorphic dynamical systems
- Problems in dynamical systems and related topics
Foreword
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Foreword
- Quantitative symplectic geometry
- Local rigidity of group actions: past, present, future
- Le lemme d'Ornstein–Weiss d'après Gromov
- Entropy of holomorphic and rational maps: a survey
- Causes of stretching of Birkhoff sums and mixing in flows on surfaces
- Solenoid functions for hyperbolic sets on surfaces
- Random walks derived from billiards
- An aperiodic tiling using a dynamical system and Beatty sequences
- A Halmos–von Neumann theorem for model sets, and almost automorphic dynamical systems
- Problems in dynamical systems and related topics
Summary
This volume owes its existence to the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop on “Recent Progress in Dynamics”, held at the Mathematical Sciences Research Institute for a week in late September to early October 2004. This is not a proceedings volume, but most authors were participants of the workshop, and the two lead surveys reflect a good deal of what David Fisher and Helmut Hofer presented during their workshop talks.
The workshop represented a broad array of dynamical systems, not least in order to reflect the breadth of taste exhibited by Anatole Katok, whose sixtieth birthday was observed during the workshop. This was possible because we were able to invite a great number of participants from near and far, and the essential ingredient in making this possible was the generous financial support from the Clay Mathematics Institute and the Mathematical Sciences Research Institute (which is in turn supported by the National Science Foundation), as well as from the Pennsylvania State University and Tufts University. As the host of the workshop, the Mathematical Sciences Research Institute also provided administrative support for the organizers and participants. It is a pleasure to acknowledge this support.
Funding alone does not produce a successful workshop, and I want to thank my fellow workshop organizers Michael Brin, Gregory Margulis, Yakov Pesin, Peter Sarnak, Klaus Schmidt, Ralf Spatzier and Robert Zimmer. Foremost among these was Yakov Pesin, whose involvement was constant and most valuable.
- Type
- Chapter
- Information
- Dynamics, Ergodic Theory and Geometry , pp. ix - xPublisher: Cambridge University PressPrint publication year: 2007