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...
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
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...
I will explain a proof of a joint with D. Alvarez-Gavela and D.
Nadler theorem which allows to make a Lagrangian submanifold
transverse to a given Lagrangian distribution in exchange for
making them piecewise smooth with canonical singularities...