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Introduction to pseudo-integrable billiards and arithmetic dynamics
GFM seminar
IIIUL, B1-01
2013-01-04 14:30
2013-01-04 15:30
2013-01-04
14:30
..
15:30
by V. Dragovic (UT Dallas)
We introduce a class of nonconvex billiards with a boundary composed
of arcs of confocal conics which contain reflex angles. We present
their basic topological and arithmetic properties. We study their
periodic orbits and establish a local Poncelet porism. A
connection with interval exchange transformation is established
together with the Keane-type conditions for minimality.
Symmetries in Quantum Physics 2017
