On the generic behavior of the spectral norm
On the generic behavior of the spectral norm
Our main result is that for any closed symplectic manifold, the spectral norm of the iterates of a Hamiltonian diffeomorphism is locally uniformly bounded away from zero C ∞ -generically.k→∞ γ (ϕ k ) = 0.Among these are, for instance, Lagrangian Poincaré recurrence [Ginzburg and Gürel 2018; Joksimović and Seyfaddini …