3 citations · 3 across the 3 of their papers we have counts for
6 papers
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…
Sinai-Ruelle-Bowen measure Entropy of geodesic flow on Convex Projective Surfaces
Patrick Foulon, Inkang Kim
We study the entropy of Sinai-Ruelle-Bowen measure of the geodesic flow on convex real projective surfaces, and shows that the Hilbert area tends to infinity if the entropy tends t…
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…
Zermelo deformation of Finsler metrics by Killing vector fields
Patrick Foulon, Vladimir S. Matveev
We show how geodesics, Jacobi vector fields and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field. We also show that Zermel…
Continuity of the Sinai-Ruelle-Bowen measure entropy
Patrick Foulon, Inkang Kim
The space of convex projective structures has been well studied with respect to the topological entropy. But, to better understand the geometry of the structure, we study the entro…
Topological Entropy and bulging deformation of real projective structures on surface
Patrick Foulon, Inkang Kim
In this paper we study the deformation of strictly convex real projective structures on a closed surface. Specially we study the deformation in terms of the entropy on bulging defo…