Gorodnik and Spatzier proved that Z^l actions of ergodic nilmanifold automorphisms are mixing of all orders. They also proved an exponential rate for mixing of order at most 3 for Hölder test functions. I will discuss a result extending the exponential rate to mixing of all orders. This problem is intimately related to a problem in Diophantine approximation, which is solved using Schmidt's subspace theorem. Joint work with Timothée Bénard.
Meeting ID: 852 4277 3200 Passcode: 103121