6 papers
Chaoticity of generic analytic convex billiards
Inmaculada Baldomá, Anna Florio, Martin Leguil +1
We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number , all intersecti…
Extremal distributions of partially hyperbolic systems: the Lipschitz threshold
Martin Leguil, Disheng Xu, Jiesong Zhang
We prove a sharp phase transition in the regularity of the extremal distribution for volume-preserving partially hyperbolic diffeomorphisms on closed $3…
Deformation and perturbative rigidity near de la Llave examples
Andrey Gogolev, Martin Leguil
De la Llave's examples are Anosov diffeomorphisms on the four-torus with constant Lyapunov spectrum, yet they are not -conjugate to the linear model or to eac…
On the rigidity of the stable norm and Mather's β-function for geodesic flows
Anna Florio, Martin Leguil, Alfonso Sorrentino
We investigate rigidity phenomena associated to the stable norm and Mather's -function for Riemannian geodesic flows on closed manifolds. Given two metrics and , we…
Smooth rigidity for 3-dimensional dissipative Anosov flows
Andrey Gogolev, Martin Leguil, Federico Rodriguez Hertz
We consider two transitive -dimensional Anosov flows which do not preserve volume and which are continuously conjugate to each other. Then, disregarding certain exceptional case…
A CAT(0)-approach to the marked length spectral rigidity of Sinai billiards
Douglas Finamore, Martin Leguil
We study the spectral rigidity problem for Sinai billiards with finite horizon, specifically asking whether the geometry of the billiard table can be recovered from the lengths of…