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SUMMARY:Simon Baker (University of Birmingham)
DTSTART:20200609T123000Z
DTEND:20200609T133000Z
DTSTAMP:20260423T052925Z
UID:OWNS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/6/">Equ
 idistribution results for self-similar measures</a>\nby Simon Baker (Unive
 rsity of Birmingham) as part of One World Numeration seminar\n\n\nAbstract
 \nA well known theorem due to Koksma states that for Lebesgue almost every
  $x>1$ the sequence $(x^n)$ is uniformly distributed modulo one. In this t
 alk I will discuss an analogue of this statement that holds for fractal me
 asures. As a corollary of this result we show that if $C$ is equal to the 
 middle third Cantor set and $t\\geq 1$\, then almost every $x\\in C+t$ is 
 such that $(x^n)$ is uniformly distributed modulo one. Here almost every i
 s with respect to the natural measure on $C+t$.\n
LOCATION:https://researchseminars.org/talk/OWNS/6/
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