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math.DS2025
Linear Flows on Translation Prisms
Jayadev S. Athreya, Nicolas Bédaride, W. Patrick Hooper +1
Motivated by the study of billiards in polyhedra, we study linear flows in a family of singular flat -manifolds which we call translation prisms. Using ideas of Furstenberg and…
math.DS2023
Simplicity of Lyapunov spectra and boundaries of non-conical strictly convex divisible sets
Patrick Foulon, Pascal Hubert, Carlos Matheus
Let be a strictly convex divisible subset of the -dimensional real projective space which is not an ellipsoid. Even though is not , Benoist showed that it i…