# Livio Flaminio

Université des Sciences et Technologies de Lille

### Nil-sequences, multiplicative functions and asymptotic orthogonal powers

Ergodic Theory and Dynamical Systems Seminar
19th April 2018, 3:00 pm – 4:00 pm
Howard House, 4th Floor Seminar Room

We prove that affine unipotent and ergodic diffeomorphisms of nilmanifolds $T$ have asymptotic orthogonal powers, that is, all ergodic joinings of the the products $T r \otimes T s$ converge to the product joining, when the relatively prime integers $r$ and $s$ go to infinity. In collaboration with K. Frączek, J. Kułaga-Przymus and M. Lemańczyk.