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Monday, May 24

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MS12

Applied Topology in Dynamics

10:00 AM-12:00 PM

*Room: Ballroom II*

Many ideas in dynamics are based on topology. This minisymposium will
display a wide variety of interactions where the topology tells the
scientist what behavior to expect. For example the topology of Fermi
surfaces determines the conductivity properties of "normal"
metals in strong magnetic fields (Novikov). Similarly basic
topological considerations determine the recurrence patterns in
(non-convex) open billiards (Kennedy). The topological theory of
Cartheodory, Cartwright, and Littlewood allows Alligood to describe
sudden changes in the recurrent sets of the forced damped pendulum.
For Barge the continuity of topology determines the discrete
arrangements of tilings and quasicrystals.

**Organizers: James A. Yorke and Cancelled **~~Serguei
P. Novikov~~

*University of Maryland, College Park*

**Cancelled **~~10:00-10:25 Topological
Phenomena in the 3D Single Crystal Normal Metals~~

~~Serguei P. Novikov, Organizer~~

**10:30-10:55 Topology of One-Dimensional Tilings**

- Marcy Barge, Montana State University, Bozeman

**11:00-11:25 The Topology of Explosions:Sudden Appearance of
Recurrent Points**

- Kathleen T. Alligood, George Mason University

**11:30-11:55 Topological Horseshoes**

*Judy Kennedy*, University of Delaware; James A. Yorke,
Organizer; and Sahin Kocak, Anadolu University, Turkey

*MMD, 5/24/99*