# Peter Ashwin: Relating measure and statistical notions of non-autonomous attraction

**Time: **
Tue 2023-03-21 14.00 - 15.00

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

**Video link: **
Meeting ID: 921 756 1880

**Participating: **
Peter Ashwin - University of Exeter

**Abstract:**

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.