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X-WR-CALDESC:Montana State University Social Calendar Brief Feed
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BEGIN:VEVENT
UID:20201031T182239CET-8017wuo857@ical.php
DTSTAMP:20201031T171039Z
CLASS:PUBLIC
DESCRIPTION:Speaker.\nBlair Davey (MSU).\n\nTime.\n4:10-5:15pm.\n\nTitle.\n
A quantification of the Besicovitch projection theorem and its generalizat
ions (part 2).\n\nAbstract.\n(This is the second part of this 2-part talk.
)\nThe Besicovitch projection theorem asserts that if a subset E of the pl
ane has finite length in the sense of Hausdorff and is purely unrectifiabl
e (so its intersection with any Lipschitz graph has zero length)\, then al
most every linear projection of E to a line will have zero measure. As a c
onsequence\, the probability that a randomly dropped line intersects such
a set E is equal to zero. This shows us that the Besicovitch projection t
heorem is connected to the classical Buffon needle problem. Motivated by
the so-called Buffon circle problem\, we explore what happens when lines a
re replaced by more general curves. This leads us to discuss generalized
Besicovitch theorems and the ways in which we can quantify such results by
building upon the work of Tao\, Volberg\, and others. This talk covers j
oint work with Laura Cladek and Krystal Taylor.\n\n\nWebEx link: https://m
ontana.webex.com/montana-en/j.php?MTID=m770a7af532734c3f412bd9f1467234de\n
WebEx meeting: 120 112 3734\nWebEx password: math
DTSTART:20200921T160000
DTEND:20200921T173000
LOCATION:https://montana.webex.com/montana-en/j.php?MTID=m770a7af532734c3f4
12bd9f1467234de
SUMMARY:Virtual Math Seminar: Blair Davey (MSU): 'On the Besicovitch projec
tion theorem' (part 2)
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