29 citations · 105 across the 6 of their papers we have counts for
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math.DS1994★ 2 cited
Some remarks on periodic billiard orbits in rational polygons
Michael Boshernitzan, G. A. Galperin, Tyll Krüger +1
A polygon is called rational if the angle between each pair of sides is a rational multiple of The main theorem we will prove is Theorem 1: For rational polygons, periodic poi…
math.DS1994★ 29 cited
Acceleration of bouncing balls in external fields
Tyll Krüger, L. D. Pustyl'nikov, Serge Troubetzkoy
We introduce two models, the Fermi-Ulam model in an external field and a one dimensional system of bouncing balls in an external field above a periodically oscillating plate. For b…