32 citations · 34 across the 3 of their papers we have counts for
5 papers
Accessibility for dynamically coherent partially hyperbolic diffeomorphisms with 2D center
Martin Leguil, Luis Pedro Piñeyrúa
We show that for any integer , stable accessibility is -dense among partially hyperbolic diffeomorphisms with two-dimensional center that satisfy some strong bunchin…
Invariant graphs and spectral type of Schrödinger operators
Artur Avila, Konstantin Khanin, Martin Leguil
In this paper we study spectral properties of Schrödinger operators with quasi-periodic potentials related to quasi-periodic action minimizing trajectories for analytic twist maps.…
Entropy rigidity for 3D conservative Anosov flows and dispersing billiards
Jacopo De Simoi, Martin Leguil, Kurt Vinhage +1
Given an integer , and a Anosov flow on some compact connected -manifold preserving a smooth volume, we show that the measure of maximal entropy (MME) is the…
Marked Length Spectrum, homoclinic orbits and the geometry of open dispersing billiards
Péter Bálint, Jacopo De Simoi, Vadim Kaloshin +1
We consider billiards obtained by removing three strictly convex obstacles satisfying the non-eclipse condition on the plane. The restriction of the dynamics to the set of non-esca…
Asymptotics of spectral gaps of quasi-periodic Schrödinger operators
Martin Leguil, Jiangong You, Zhiyan Zhao +1
For non-critical almost Mathieu operators with Diophantine frequency, we establish exponential asymptotics on the size of spectral gaps, and show that the spectrum is homogeneous.…