Relating measure and statistical notions of non-autonomous attraction
Two Dimensional Maps
21 March 14:00 - 15:00
Peter Ashwin - University of Exeter
There is more than one notion of attraction for non-autonomous systems; which sets are attractors depend on whether the focus is on the basin (forward attraction) or on the attractor itself (pullback attraction). I will talk about recent work with Oljaca and Rasmussen that aims to understand relations between Milnor-like measure and statistical non-autonomous attractors. In particular I will discuss a two dimensional example flow where one can show that a nontrivial statistical attractor is a pullback measure attractor. We conjecture as to when there may be a more general equivalence.
KTH Royal Institute of Technology
The University of Cergy-Pontoise
University of Exeter