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math.DS2018
Automatic sequences are orthogonal to aperiodic multiplicative functions
Mariusz Lemańczyk, Clemens Müllner
Given a finite alphabet and a primitive substitution (of constant length ), let denote the corresponding dynamical system, w…
math.DS2018
On disjointness properties of some parabolic flows
Adam Kanigowski, Mariusz Lemańczyk, Corinna Ulcigrai
The Ratner property, a quantitative form of divergence of nearby trajectories, is a central feature in the study of parabolic homogeneous flows. Discovered by Marina Ratner and use…