[Settfa] Tuesday 24/05, Jakub Tomaszewski

[kubis at math.cas.cz]

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 Tuesday 24th May, 10:00am 
 
  Place: IM in konírna 

 
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 Speaker:Jakub Tomaszewski, Jagiellonian University, Krakow, Poland
 Title: On the typicality, its relation to normality, and their complexity

 Abstract  

 
 During the talk we will focus on the notion of typicality and exceptionality in the Erdos-Renyi sense for numbers on $[0,1]$ segment. We will examine the set of typical numbers in terms of its Borel complexity. We will compare the set of typical numbers and the set of normal numbers in base 2 on the $[0,1]$, showing that those notions are not related. We will examine the Borel complexity of the set of typical abnormal numbers, showing that it belongs to the fourth level in the Borel hierarchy.
 


 
 


 For more information see the seminar web page at 
 https://calendar.math.cas.cz/set-theory-and-analysis-actual .