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PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:NUMBER THEORY SEMINAR - Normal Numbers
DTSTART:20260429T101500
DTEND:20260429T120000
DTSTAMP:20260507T223654Z
UID:aa0a0537d20700c1275098b8233bd42ed4bcb7f59bc80cf3a4a9a5a0
CATEGORIES:Conferences - Seminars
DESCRIPTION:William Mance (Poznan University)\nInformally\, a real number 
 is normal in base 10 if each of the digits 0\, 1\, . . . \, 9 shows up w
 ith frequency 1/10 in its decimal expansion\, each pair of digits 00\, 01\
 , . . . \, 99 shows up with frequency 1/100 in its decimal expansion and s
 o on. \n\nThere are many easily stated (but very difficult!) open questio
 ns revolving around normality. For example\, even determining the normal
 ity of $\\pi$ in any base appears to be far out of reach of modern mathema
 tics. \n\nDepending on the interest of the audience\, we may explore conn
 ections between normal numbers and other areas of math such as ergodic 
 theory\, descriptive set theory\, computability theory\, probability theor
 y\, and others.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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