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Susanna Terracini

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Preprint Sep 2026

Analytic rigidity and symbolic dynamics for two-centre billiards

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 every energy should be ellipses confocal with the two centres. Let $\Omega$ be a bounded domain with $\mathcal C^1$ boundary containing the...

Stefano Baranzini, Susanna Terracini · 0 citations

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