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SUMMARY:Sohail Farhangi (Ohio State University)
DTSTART:20220318T150000Z
DTEND:20220318T164500Z
DTSTAMP:20260423T021826Z
UID:DSSUJ/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/33/">E
 nhancements of van der Corput's Difference Theorem and connections to the 
 ergodic hierarchy of mixing.</a>\nby Sohail Farhangi (Ohio State Universit
 y) as part of Dynamical systems seminar at the Jagiellonian University\n\n
 Lecture held in 1016.\n\nAbstract\nWe will examine three commonly used var
 iants of van der\nCorput's Difference Theorem (vdCDT) in Hilbert spaces an
 d show that\nthey are associated with the notions of weak mixing\, strong 
 mixing\,\nand Bernoullicity. We will then use this association to derive 2
  new\nvdCDTs corresponding to ergodicity and mild mixing.  We remark that\
 nour methods naturally yield vdCDTs for a class of unbounded sequences\nof
  vectors. We will then obtain an application to recurrence in\nmeasure pre
 serving systems by giving a partial answer to a question of\nFrantzikinaki
 s. If time permits\, we will also discuss analogues of\nthese vdCDTs in th
 e context of uniform distribution and the classes of\n"mixing distribution
 s" that they produce.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/33/
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