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math.DS2009★ 2 cited
Mixing rate for semi-dispersing billiards with non-compact cusps
A. Arbieto, R. Markarian, M. J. Pacifico +1
Since the seminal work of Sinai one studies chaotic properties of planar billiards tables. Among them is the study of decay of correlations for these tables. There are examples in…
math.DS2009★ 19 cited
Bifurcations of periodic and chaotic attractors in pinball billiards with focusing boundaries
Aubin Arroyo, Roberto Markarian, David P. Sanders
We study the dynamics of billiard models with a modified collision rule: the outgoing angle from a collision is a uniform contraction, by a factor lambda, of the incident angle. Th…