On volume preserving almost Anosov flows

Speaker. Henk Bruin
Date. 28.02.22 at 3:30 pm

Abstract. We call a flow on a compact manifold “almost Anosov” if
the Anosov property of being hyperbolic everywhere is violated
at (a finite collection of) periodic solutions.
In this talk, I will present results on what happens if the flow (on a
3-manifold) preserves volume and has a periodic orbit of neutral saddle
type. Asymptotics of the resulting intermittent behaviour can be
accurate estimated and give rise to (non-standard) Central Limit Theorem
or Stable Laws for such flows.