Home /  GAAHD Postdoc Seminar: Generalizations of Furstenberg's x2 x3 theorem

Seminar

GAAHD Postdoc Seminar: Generalizations of Furstenberg's x2 x3 theorem February 27, 2015 (11:45 AM PST - 12:30 PM PST)
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Location: SLMath: Eisenbud Auditorium
Speaker(s) Asaf Katz (University of Michigan)
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In his seminal paper from 1967, Furstenberg proved that for every irrational x, the set 2^{n}3^{m}x is dense modulo 1.

I will show a couple of generalizations of this result, which imply density of much sparser sequences, using earlier works of D. Meiri and M. Boshernitzan, following the proof of Bourgain-Lindenstrauss-Michel-Venkatesh.

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