Research projects

Project CEMAPRE internal

TitleDissipative outer billiards on polygons
ParticipantsGianluigi Del Magno, José Pedro Gaivão (Principal Investigator)
SummaryAn interesting class of billiards are outer billiards introduced by May and later popularized by
Moser. On convex polygons, outer billiards are piecewise isometries. The dynamics of outer billiards
on triangles and the square is very simple: every orbit is periodic. Dissipative outer billiards
have a contracting reflection law and belong to the class of piecewise contractions. Typically, the
dynamics of dissipative outer billiards on polygons is asymptotically periodic.