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VERSION:2.0
CALSCALE:GREGORIAN
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CATEGORIES:Lecture
DESCRIPTION:Self-similar Sets and Lipschitz Curves - \n​​​​​​​After introdu
 cing Hausdorff measure and Hausdorff dimension\, we examine the notion of r
 ectifiability and what it means for a set to be purely unrectifiable.  In p
 articular\, if E is a purely unrectifiable 1-set in the plane\, then the in
 tersection of E with any Lipschitz graph has zero 1-dimensional Hausdorff m
 easure. This leads to a natural question: Given a purely unrectifiable 1-se
 t\, can we find a Lipschitz curve for which the intersection with E is non-
 trivial in some dimension less than 1? Going further\, how close to 1 can w
 e get? We discuss the answer to this question for self-similar sets. This t
 alk covers joint work with Silvia Ghinassi and Bobby Wilson.
DTEND:20260306T003000Z
DTSTAMP:20260415T041348Z
DTSTART:20260305T234000Z
GEO:45.480972;-122.630792
LOCATION:Eliot Hall\, 314
SEQUENCE:0
SUMMARY:Math & Statistics Colloquium: Blair Davey\, Montana State Universit
 y
UID:tag:localist.com\,2008:EventInstance_51738852825320
URL:https://events.reed.edu/event/math-statistics-colloquium-blair-davey-mo
 ntana-state-university
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