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SUMMARY:Verónica Becher (Universidad de Buenos Aires & CONICET Argentina)
DTSTART:20220531T123000Z
DTEND:20220531T133000Z
DTSTAMP:20260423T021448Z
UID:OWNS/87
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/87/">Po
 isson generic real numbers</a>\nby Verónica Becher (Universidad de Buenos
  Aires & CONICET Argentina) as part of One World Numeration seminar\n\n\nA
 bstract\nYears ago Zeev Rudnick defined the Poisson generic real numbers a
 s those  where the number of occurrences of the long strings in the initia
 l segments of their fractional expansions in some base have the Poisson di
 stribution. Yuval Peres and Benjamin Weiss proved that almost all real num
 bers\, with respect to Lebesgue measure\, are Poisson generic. They also s
 howed that Poisson genericity implies Borel normality but the two notions 
 do not coincide\, witnessed by the famous Champernowne constant.    We rec
 ently showed that there are computable Poisson generic real numbers and th
 at all Martin-Löf real numbers are Poisson generic. \nThis is joint work 
  Nicolás Álvarez  and Martín Mereb.\n
LOCATION:https://researchseminars.org/talk/OWNS/87/
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