Approximate orthogonality of powers for ergodic affine unipotent diffeomorphisms on nilmanifolds

Livio Flaminio, Krzysztof Frączek, Joanna Kułaga-Przymus +1

Let $G$ be a connected, simply connected nilpotent Lie group and $\Gamma <G$ a lattice. We prove that each ergodic diffeomorphism $\varphi (x\Gamma )=uA(x)\Gamma$ on the nilmanifold $G/\Gamma$, where $…