7 citations · 10 across the 4 of their papers we have counts for
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math.DS2013★ 7 cited
Ergodicity of polygonal slap maps
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1
Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projecting the sides of a polygon along their normals onto the perimeter of the polygon. These m…
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…