Sunday, May 23
MS6
Ergodic Theory of Hyperbolic Dynamical Systems
10:00 AM-12:00 PM
Room: Golden Cliff
The ergodic theory of hyperbolic dynamical systems has been
fundamental to the understanding of "chaotic" systems and
to the development of a rigorous foundation for statistical
mechanics. This minisymposium will address recent results for systems
that are not uniformly hyperbolic and in particular results on stable
ergodicity which have led to the provision of a large class of models
that retain strong mixing properties under deterministic
perturbation. These models arise naturally in applications with Lie
group symmetry.
Organizers: Matthew J. Nicol
UMIST, Manchester, United Kingdom
- 10:00-10:25 Ergodic Theory of Equivariant Diffeomorphisms
- Michael Field, University of Houston
- Cancelled
10:30-10:55 Lyapunov
Exponents and Partially-Hyperbolic Systems
Amie Wilkinson, Northwestern University
- 10:30-10:55
Ergodic
Theorem of Almost Hyperbolic Systems
- Huyi Hu, Pennsylvania State University
- Cancelled
11:00-11:25 Ergodic
Properties of a Class of Skew Products
Charles Walkden, University of Manchester, United Kingdom
- 11:00-11:25
Deterministic
Central Limit Theorems in Dynamical Systems with Symmetry, and
Hypermeander of Spirals
- Peter Ashwin, University of Surrey, United Kingdom; Ian Melbourne,
University of Houston; and Matthew J. Nicol, Organizer
- 11:30-11:55 The Dynamics of a Class of Nonuniformly Hyperbolic
Attractor of Solenoid Type
- Don Wang, University of California, Los Angeles
MMD, 5/10/99