BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Neil MacVicar (Queen's University)
DTSTART:20250218T130000Z
DTEND:20250218T140000Z
DTSTAMP:20260423T021345Z
UID:OWNS/144
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/144/">I
 ntersecting Cantor sets generated by Complex Radix Expansions</a>\nby Neil
  MacVicar (Queen's University) as part of One World Numeration seminar\n\n
 \nAbstract\nConsider the classical middle third Cantor set. This is a self
 -similar set containing all the numbers in the unit interval which have a 
 ternary expansion that avoids the digit 1. We can ask when the intersectio
 n of the Cantor set with a translate of itself is also self-similar. Suffi
 cient and necessary conditions were given by Deng\, He\, and Wen in 2008. 
 This question has also been generalized to classes of subsets of the unit 
 interval. I plan to discuss how existing ideas can be used to address the 
 question for certain self-similar sets with dimension greater than one. Th
 ese ideas will be illustrated using a class of self-similar sets in the pl
 ane that can be realized as radix expansions in base $-n+i$ where $n$ is a
  positive integer. I will also discuss a property of the fractal dimension
 s of these kinds of intersections.\n
LOCATION:https://researchseminars.org/talk/OWNS/144/
END:VEVENT
END:VCALENDAR