48 citations · 580 across the 51 of their papers we have counts for
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math.DS2017★ 17 cited
Introducing symplectic billiards
Peter Albers, Serge Tabachnikov
In this article we introduce a simple dynamical system called symplectic billiards. As opposed to usual/Birkhoff billiards, where length is the generating function, for symplectic…
math.DS2017★ 12 cited
Reeb dynamics inspired by Katok's example in Finsler geometry
Peter Albers, Hansjörg Geiges, Kai Zehmisch
Inspired by Katok's examples of Finsler metrics with a small number of closed geodesics, we present two results on Reeb flows with finitely many periodic orbits. The first result i…
math.DS2017★ 2 cited
Numerical simulations of magnetic billiards in a convex domain in
Peter Albers, Gautam Dilip Banhatti, Michael Herrmann
We present numerical simulations of magnetic billiards inside a convex domain in the plane.