BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Zhiqiang Wang (East China Normal University)
DTSTART:20211109T133000Z
DTEND:20211109T140000Z
DTSTAMP:20260423T052926Z
UID:OWNS/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/64/">Ho
 w inhomogeneous Cantor sets can pass a point</a>\nby Zhiqiang Wang (East C
 hina Normal University) as part of One World Numeration seminar\n\n\nAbstr
 act\nAbstract: For $x > 0$\, we define $$\\Upsilon(x) = \\{ (a\,b): x\\in 
 E_{a\,b}\, a>0\, b>0\, a+b \\le 1 \\}\,$$ where the set $E_{a\,b}$ is the 
 unique nonempty compact invariant set generated by the inhomogeneous IFS $
 $\\{ f_0(x) = a x\, f_1(x) = b(x+1)  \\}.$$ We show the set $\\Upsilon(x)$
  is a Lebesgue null set with full Hausdorff dimension in $\\mathbb{R}^2$\,
  and the intersection of sets $\\Upsilon(x_1)\, \\Upsilon(x_2)\, \\dots\, 
 \\Upsilon(x_\\ell)$ still has full Hausdorff dimension $\\mathbb{R}^2$ for
  any finitely many positive real numbers $x_1\, x_2\, \\dots\, x_\\ell$.\n
LOCATION:https://researchseminars.org/talk/OWNS/64/
END:VEVENT
END:VCALENDAR