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SUMMARY:The Riemann Zeta Process
DTSTART:20251027T161500
DTEND:20251027T171500
DTSTAMP:20260528T031122Z
UID:e25415bd7e4f271bd039eaec88ea9fb2a6b3508abec57cd49256ab7b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Mike Cranston  (University of California Irvine) \n\nAbstrac
 t: A classical method  for sampling a random integer Y(N) according to th
 e uniform distribution on [0\,N] is to use the Riemann zeta distribution 
 on the integers. That is\, a random integer X(s) is sampled with probabili
 ty of being n equal to 1/\\zeta(s)n^s\, where s>1. Then the asymptotics of
  arithmetic functions of X(s) where s goes to 1 have been studied recently
  by myself\, Peltzer\, Mountford\, Hsu and Khodiakova. \nThe results are
  always the same as when one evaluates the arithmetic function at Y(N) and
  lets N go to infinity. A question comes up as to whether one can define 
 a natural process X(s)  and whether such a process would shed any light o
 n the nature of the integers being sampled. In this talk\, we will discuss
  a natural method to produce such a process and explain its properties. T
 his is joint work with Jingyuan Chen. 
LOCATION:CM 517
STATUS:CONFIRMED
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