On the generic behavior of the spectral norm

Abstract

The main result of the paper is that for any closed symplectic manifold the spectral norm of the iterates of a Hamiltonian diffeomorphism is locally uniformly bounded away from zero $C^{\infty }$-generically.

arXiv comment15 pages; final version (containing minor revisions); published in Pacific J. Math

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Cited by in corpus (2)

• On the Hofer-Zehnder conjecture for non-contractible periodic orbits in Hamiltonian dynamics
• Invariant Sets and Hyperbolic Closed Reeb Orbits