#### Upcoming talks:

10 XII | Pierre-Antoine Guihéneuf (Sorbonne Université) Show abstract A system is said to have historic behaviour if there is a
positive Lebesgue measure set of points having non convergent Birkhoff
averages. The question of knowing whether systems with historic
behaviour are abundant in some families of dynamics has recently
regained attention, with the recent works of Kiriki and Soma, and
Berger's definition of (local) emergence, which measures how big is the
set of accumulation points of Birkhoff averages.
In this talk, I will present two examples of systems with historic
behaviour.
The first one, obtained with Guarino and Santiago, is a modification of
Bowen's eye example in which the set of points with historic behaviour
is of positive Lebesgue measure but nowhere dense.
The second one, in collaboration with Andersson, is the study of
reparametrized linear flows of the two torus with two fixed points; we
obtain some Diophantine conditions on the flow's parameters under which
the system has/has not historic behaviour. |

Show rest

The seminar takes place on Fridays

at 10.15-11.45 AM (Kraków time) - currently CEST (UTC+2) in the room 1016

of the Jagiellonian University

Department of Mathematics

and Computer Science

(ul. Łojasiewicza 6, Cracow).