Abstract
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) |
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Pages (from-to) | 760-764 |
Number of pages | 5 |
Journal | Mathematical Notes of the Academy of Sciences of the USSR |
Volume | 18 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1975 |
All Science Journal Classification (ASJC) codes
- General Mathematics