44 citations · 49 across the 9 of their papers we have counts for
9 papers
On the geometry of the space of fibrations
Vincent Humiliere, Nicolas Roy
We study geometrical aspects of the space of fibrations between two given manifolds M and B, from the point of view of Frechet geometry. As a first result, we show that any connect…
Generalized Weinstein tubular neighbourhood & Space of Lagrangian submersions
Nicolas Roy
We present a generalized Weinstein Tubular Neighbourhood theorem for Lagrangian subbundles of Symplectic fibrations. This is then used to study the space of Lagrangian fibrations o…
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances
Frederic Faure, Nicolas Roy, Johannes Sjoestrand
In this paper, we show that some spectral properties of Anosov diffeomorphisms can be obtained by semi-classical analysis. In particular the Ruelle resonances which are eigenvalues…
Ruelle-Pollicott resonances for real analytic hyperbolic map
Frederic Faure, Nicolas Roy
We study two simple real analytic uniformly hyperbolic dynamical systems: expanding maps on the circle S1 and hyperbolic maps on the torus T2. We show that the Ruelle-Pollicott res…
Intersections of Lagrangian submanifolds and the Mel'nikov 1-form
Nicolas Roy
We make explicit the geometric content of Mel'nikov's method for detecting heteroclinic points between transversally hyperbolic periodic orbits. After developing the general theory…
Regular deformations of completely integrable systems
Nicolas Roy
We study several aspects of the regular deformations of completely integrable systems. Namely, we prove the existence of a Hamiltonian normal form for these deformations and we sho…