Mariusz Lemanczyk (Copernicus U. Torun )

will speak on

Special flows over irrational rotations and the disjointness problem

Abstract:

In 1972 Kochergin noticed that special flows built over irrational rotations and under functions of bounded variation cannot be mixing. In fact, this result is a direct consequence of Koksma's inequality. We will show that over irrational rotations and under functions whose Fourier transform is of order O(1/n) are even disjoint (in the sense of Furstenberg) from mixing flows. We will also show that under some additional assumptions such flows are disjoint from Gaussian flows. This is a joint work with Krzysztof Fraczek.

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Last update on 20/10/02.