BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250713T202249EDT-82208uGxch@132.216.98.100 DTSTAMP:20250714T002249Z 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:/mathstat/channels/event/blair-davey-cuny-322341 END:VEVENT END:VCALENDAR