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math.DS2025
Non-integrability of n-centre billiards
Stefano Baranzini
We investigate a class of mechanical billiards, where a particle moves in a planar region under the influence of an n-centre potential and reflects elastically on a straight wall.…
math.DS2025
On the Birkhoff conjecture for Kepler billiards
Stefano Baranzini, Vivina L. Barutello, Irene De Blasi +1
We investigate the integrability of Kepler billiards-mechanical billiard systems in which a particle moves under the influence of a Keplerian potential and reflects elastically at…