Consider a billiard in a polygon Q⊂R2 having all angles commensurate with π. For the majority of initial directions, density of every infinite semitrajectory in configuration space is proved. Also proved is the typicality of polygons for which some billiard trajectory is dense in phase space.
|Original language||English (US)|
|Number of pages||5|
|Journal||Mathematical Notes of the Academy of Sciences of the USSR|
|State||Published - Aug 1 1975|
All Science Journal Classification (ASJC) codes