Gorodnik and Spatzier proved that Zl 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