3 citations · 5 across the 6 of their papers we have counts for
4 papers · 1 filter
Thermodynamic Formalism on SRB Measures of Compact Convex Projective manifolds, Geometry and Counting
Patrick Foulon, Inkang Kim
We study the Hilbert geodesic flow on a closed convex real projective -dimensional manifold. We use the thermodynamic formalism for this dissipative Anosov flow to obtain a geom…
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…
Orbit Growth Of Contact Structures After Surgery
Patrick Foulon, Boris Hasselblatt, Anne Vaugon
Investigation of the effects of a contact surgery construction and of invariance of contact homology reveals a rich new field of inquiry at the intersection of dynamical systems an…
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…