### 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.

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