BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Manuel Hauke (TU Graz) DTSTART:20251118T174500Z DTEND:20251118T184500Z DTSTAMP:20260423T021826Z UID:NEDNT/96 DESCRIPTION:Title: P seudo-random sequences\, twin primes\, and twisted diophantine approximati on\nby Manuel Hauke (TU Graz) as part of New England Dynamics and Numb er Theory Seminar\n\nLecture held in Online.\n\nAbstract\nIn this talk\, I will speak about dynamics of $(a_n\\alpha)_{n} \\mod 1$ for integer seque nces $(a_n)_n$ and fixed irrational rotations $\\alpha$. The focus will be on the sequence of primes and other multiplicatively defined sequences\, where gap statistics as well as twisted diophantine approximation will be considered. If time permits\, I will outline the proof that includes a sie ve coming from the twin prime counting problem\, and establishing via rand om walks on Ostrowski digits an equidistribution result on diophantine Boh r sets mod d. This talk is partially based on https://arxiv.org/abs/2506.0 1736 and joint work with E. Kowalski \nhttps://arxiv.org/abs/2502.08335.\n LOCATION:https://researchseminars.org/talk/NEDNT/96/ END:VEVENT END:VCALENDAR