35 citations · 60 across the 15 of their papers we have counts for
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math.DS2013★ 3 cited
Dissipative outer billiards: a case study
Gianluigi Del Magno, José Pedro Gaivão, Eugene Gutkin
We study dissipative polygonal outer billiards, i.e. outer billiards about convex polygons with a contractive reflection law. We prove that dissipative outer billiards about any tr…
math.DS2013★ 2 cited
SRB measures for hyperbolic polygonal billiards
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +2
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small per…