33 citations · 215 across the 34 of their papers we have counts for
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math.DS2010★ 1 cited
On the multiplicity of non-iterated periodic billiard trajectories
Marco Mazzucchelli
We introduce the iteration theory for periodic billiard trajectories in a compact and convex domain of the Euclidean space, and we apply it to establish a multiplicity result for n…
math.DS2010★ 2 cited
Periodic bounce orbits of prescribed energy
Peter Albers, Marco Mazzucchelli
We prove the existence of periodic bounce orbits of prescribed energy on an open bounded domain in Euclidean space. We derive explicit bounds on the period and the number of bounce…