7 citations · 10 across the 4 of their papers we have counts for
4 papers
Lyapunov exponents and rigidity in random billiards and standard maps
Gianluigi Del Magno, João Lopes Dias, José Pedro Gaivão
We study random dynamical systems generated by measure-preserving maps, possibly with singularities. For this class of systems, we establish an invariance principle: if all Lyapuno…
Billiards in generic convex bodies have positive topological entropy
Mário Bessa, Gianluigi Del Magno, João Lopes Dias +2
We show that there exists a open dense set of convex bodies with smooth boundary whose billiard map exhibits a non-trivial hyperbolic basic set. As a consequence billiards in…
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…
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…