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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…
math.DS2010
Longitudinal foliation rigidity and Lipschitz-continuous invariant forms for hyperbolic flows
Patrick Foulon, Boris Hasselblatt
In several contexts the defining invariant structures of a hyperbolic dynamical system are smooth only in systems of algebraic origin (smooth rigidity), and we prove new results of…