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math.DS2026
Analytic rigidity and symbolic dynamics for two-centre billiards
Stefano Baranzini, Susanna Terracini
We establish a sharp rigidity--chaos dichotomy for planar two-centre billiards, motivated by a natural analogue of the Birkhoff--Poritsky conjecture: the only tables integrable at…
math.DS2026
Scattering Dynamics and Chaotic Motions in a Relativistic Two-Centre Problem
Stefano Baranzini, Gian Marco Canneori
We study the planar relativistic two-centre problem at fixed energy, including a class of perturbations of the Keplerian potential. Up to a reparametrisation of time, the relativis…