Introduction to pseudo-integrable billiards and arithmetic dynamics
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.