In this talk, I will explain how the Ruelle invariant of a
symplectomorphism and the Ruelle invariant of a Reeb flow are
related via the open book construction. As an application, I will
construct examples of Reeb flows on the sphere that are...
Floer homology is a fundamental construction relating dynamical
properties of Hamiltonian flows on symplectic manifolds to the
topology of the manifold. Although this construction is global in
nature, when the Hamiltonian flow is supported on a...
In this talk, I will define the Ruelle invariant of a measure
preserving flow equipped with a symplectic cocycle. This is a
natural dynamical quantity that measures a spacetime averaged
rotation of the cocycle along the flow. I will then discuss
the...
Complexity of the geometry, randomness of the potential, and
many other irregularities of the system can cause powerful, albeit
quite different, manifestations of localization, a phenomenon of
sudden confinement of waves, or eigenfunctions, to a...
