BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Numerical Computation of Hausdorff Dimension - Richard  Falk (Rutg
 ers\, The State University of New Jersey)
DTSTART:20191009T130500Z
DTEND:20191009T135000Z
UID:TALK132934@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>We show how finite element approximation theory can be c
 ombined with theoretical results about the properties of the eigenvectors 
 of a class of linear Perron-Frobenius operators to obtain accurate approxi
 mations of the Hausdorff dimension of some invariant sets arising from ite
 rated function systems.<br> <br> The theory produces rigorous upper and lo
 wer bounds on the Hausdorff dimension. Applications to the computation of 
 the Hausdorff dimension of some Cantor sets arising from real and complex 
 continued fraction expansions are described.</span>  <br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
END:VEVENT
END:VCALENDAR