Chaotic properties of locally Hamiltonian flows on surfaces and their extensions

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• Corinna Ulcigrai, Bristol
• Wednesday 05 February 2014, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

Locally Hamiltonian flows are smooth area preserving flows on a surface S of genus g. In a series of works, we studied the ergodic properties (with special focus on mixing) of typical locally Hamiltonian flows, in particular answering a conjecture by Arnold. In the talk, we will survey some of these results. We will also we consider ergodicity for certain real extensions of locally Hamiltonian flows, e.g. for certain infinite 3-dimensional volume preserving flows on SxR. The latter part is joint work with K. Fraczek.

This talk is part of the Differential Geometry and Topology Seminar series.

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