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SUMMARY:Godofredo Iommi (Pontificia Universidad Católica de Chile)
DTSTART:20210323T133000Z
DTEND:20210323T143000Z
DTSTAMP:20260423T021353Z
UID:OWNS/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/38/">Ar
 ithmetic averages and normality in continued fractions</a>\nby Godofredo I
 ommi (Pontificia Universidad Católica de Chile) as part of One World Nume
 ration seminar\n\n\nAbstract\nEvery real number can be written as a contin
 ued fraction. There exists a dynamical system\, the Gauss map\, that acts 
 as the shift in the expansion. In this talk\, I will comment on the Hausdo
 rff dimension of two types of sets: one of them defined in terms of arithm
 etic averages of the digits in the expansion and the other related to (con
 tinued fraction) normal numbers. In both cases\, the non compactness that 
 steams from the fact that we use countable many partial quotients in the c
 ontinued fraction plays a fundamental role. Some of the results are joint 
 work with Thomas Jordan and others together with Aníbal Velozo.\n
LOCATION:https://researchseminars.org/talk/OWNS/38/
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