BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Approximation on the Cantor set and other related fractals - Demi 
 Allen (University of Bristol)
DTSTART:20191120T134500Z
DTEND:20191120T144500Z
UID:TALK132319@talks.cam.ac.uk
CONTACT:Thomas Bloom
DESCRIPTION:The aim of this talk will be to consider (Diophantine) approxi
 mation on general ``Cantor-like'' fractals. In 2007\, Levesley\, Salp\, an
 d Velani considered the problem of approximating points in the middle-thir
 d Cantor set at a given rate of approximation by rational numbers which ha
 ve denominators which are powers of 3. They showed that the Hausdorff meas
 ure of the set in question is either zero or full according to\, respectiv
 ely\, the convergence or divergence of a certain sum which is dependent on
  the specified rate of approximation. In this talk\, I will discuss an ana
 logue of this result for more general ``Cantor-like" fractals (specificall
 y\, for self-conformal sets satisfying the open set condition). This talk 
 is based on joint work with Balázs Bárány (Budapest).
LOCATION:MR5\, CMS
END:VEVENT
END:VCALENDAR