BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Nadav Yesha (University of Haifa)
DTSTART:20260610T150000Z
DTEND:20260610T160000Z
DTSTAMP:20260528T081340Z
UID:LNTS/197
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/197/">T
 he number variance of dilated integer sequences</a>\nby Nadav Yesha (Unive
 rsity of Haifa) as part of London number theory seminar\n\nLecture held in
  King's College London\, Strand campus\, Room S3.30.\n\nAbstract\nLet $(x_
 n)$ be a sequence of integers. We study the distribution modulo 1 of the d
 ilated sequence $(\\alpha x_n)$ in short intervals of length $S$\, with th
 e aim of comparing its number variance to that of the random (Poisson) mod
 el\, thereby identifying regimes of pseudorandom behaviour. We focus on th
 e case of integer polynomial sequences $x_n = p(n)$ of degree at least 2. 
 In joint work with C. Aistleitner (TU Graz)\, we show that these sequences
  exhibit Poissonian number variance for almost all $\\alpha$. Moreover\, t
 his result holds uniformly over a large\, and presumably optimal\, range o
 f the interval length $S$.\n
LOCATION:https://researchseminars.org/talk/LNTS/197/
END:VEVENT
END:VCALENDAR