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UID:20261115T183943EST-1670VmMaNw@132.216.98.100
DTSTAMP:20261115T233943Z
DESCRIPTION:Title: A quantification of the Besicovitch projection theorem a
 nd its generalizations\n	Abstract: The Besicovitch projection theorem asser
 ts that if a subset E of the plane has finite length in the sense of Hausd
 orff and is purely unrectifiable (so its intersection with any Lipschitz g
 raph has zero length)\, then almost every linear projection of E to a line
  will have zero measure. As a consequence\, the probability that a line dr
 opped randomly onto the plane intersects such a set E is equal to zero. Th
 us\, the Besicovitch projection theorem is connected to the classical Buff
 on needle problem. Motivated by the so-called Buffon circle problem\, we e
 xplore what happens when lines are replaced by more general curves. We dis
 cuss generalized Besicovitch theorems and\, as Tao did for the classical t
 heorem (Proc. London Math. Soc.\, 2009)\, we use multi-scale analysis to q
 uantify these results. This work is joint with Laura Cladek and Krystal Ta
 ylor.\n\n \n\nFor zoom meeting log in information please contact dmitry.ja
 kobson [at] mcgill.ca\n
DTSTART:20200528T160000Z
DTEND:20200528T170000Z
SUMMARY:Blair Davey (CUNY)
URL:https://www.mcgill.ca/mathstat/channels/event/blair-davey-cuny-322341
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