Almost Anosov maps are Anosov maps except for finitely many neutral periodic points, and almost Anosov flows are the flow-equivalent of this. One can use an inducing scheme to regain hyperbolicity. The current operator renewal-type approach to obtain polynomial mixing rates in various dynamical systems requires that the tails of a certain inducing scheme have regular variation. Using detailed analysis of the behaviour near the neutral periodic points, one can compute tail behaviour of these induced maps, and consequently derive stochastic limit laws of the motion. The current methods require particular constraints on the local behaviour near the neutral orbits, but in the volume preserving setting, these are in a sense generic.
On volume preserving almost Anosov flows
06.03.2020 15:15 - 17:30
Organiser:
H. Bruin, R. Zweimüller
Location: