7 citations · 9 across the 3 of their papers we have counts for
5 papers
Viterbo's spectral bound conjecture for homogeneous spaces
Stéphane Guillermou, Nicolas Vichery
We prove a conjecture of Viterbo about the spectral distance on the space of compact exact Lagrangian submanifolds of a cotangent bundle in the case where is a compact h…
Spectral invariants towards a Non-convex Aubry-Mather theory
Nicolas Vichery
Aubry-Mather is traditionally concerned with Tonelli Hamiltonian (convex and super-linear). In \cite{Vi,MVZ}, Mather's function is recovered from the homogenization of symplect…
Homological differential calculus
Nicolas Vichery
This article provides a definition of a subdifferential for continuous functions based on homological considerations. We show that it satisfies all the requirement for a good notio…
Partial quasi-morphisms and quasi-states on cotangent bundles, and symplectic homogenization
Alexandra Monzner, Nicolas Vichery, Frol Zapolsky
For a closed connected manifold N, we construct a family of functions on the Hamiltonian group G of the cotangent bundle T^*N, and a family of functions on the space of smooth func…
Quasi-morphisms on cotangent bundles and symplectic homogenization
Alexandra Monzner, Nicolas Vichery, Frol Zapolsky
For a class of closed manifolds N, we construct a family of functions on the Hamiltonian group G of the cotangent bundle T*N. These restrict to homogeneous quasi-morphisms on the s…