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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Numerical Computation of Hausdorff Dimension - Ric
hard Falk (Rutgers\, The State University of New
Jersey)
DTSTART;TZID=Europe/London:20191009T140500
DTEND;TZID=Europe/London:20191009T145000
UID:TALK131968AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/131968
DESCRIPTION:We show how finite element approximation the
ory can be combined with theoretical results about
the properties of the eigenvectors of a class of
linear Perron-Frobenius operators to obtain accura
te approximations of the Hausdorff dimension of so
me invariant sets arising from iterated function s
ystems.
The theory produces rigorous uppe
r and lower bounds on the Hausdorff dimension. App
lications to the computation of the Hausdorff dime
nsion of some Cantor sets arising from real and co
mplex continued fraction expansions are described.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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