80 citations · 171 across the 12 of their papers we have counts for
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math.DS2018★ 7 cited
Marked Length Spectrum, homoclinic orbits and the geometry of open dispersing billiards
Péter Bálint, Jacopo De Simoi, Vadim Kaloshin +1
We consider billiards obtained by removing three strictly convex obstacles satisfying the non-eclipse condition on the plane. The restriction of the dynamics to the set of non-esca…
math.DS2018★ 15 cited
Statistical properties for flows with unbounded roof function, including the Lorenz attractor
Peter Balint, Ian Melbourne
For geometric Lorenz attractors (including the classical Lorenz attractor) we obtain a greatly simplified proof of the central limit theorem which applies also to the more general…