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TZID:Asia/Jerusalem
BEGIN:STANDARD
DTSTART:20171029T020000
TZOFFSETFROM:+0300
TZOFFSETTO:+0200
TZNAME:IST
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DTSTART:20180323T020000
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UID:calendar.49630.field_date.0@mathematics.huji.ac.il
DTSTAMP:20200528T071527Z
CREATED:20180102T150817Z
DESCRIPTION:Date: \n\n2:00pm to 3:00pm\n\n\n\n\nSee also: Dynamical & Pro
bability\, Events & Seminars\, SeminarsLocation: \n\nRoss 70\n\n\nIn this
talk I will discuss a finitary version of projection theorems in fractal g
eometry. Roughly speaking\, a projection theorem says that\, given a subse
t in the Euclidean space\, its orthogonal projection onto a subspace is la
rge except for a small set of exceptional directions. There are several wa
ys to quantify 'large' and 'small' in this statement. We will place oursel
f in a discretized setting where the size of a set is measured by its delt
a-covering number : the minimal number of balls of radius delta needed to
cover the set\, where delta > 0 is the scale. The pioneering work of Bourg
ain relates the problem to sum-product phenomenon in arithmetic combinator
ics and proved a discretized projection theorem for projections onto lines
. I will present an extension to Bourgain's result and its fractal geometr
ic consequences.\n\n Export\n \n\n \nsubscribe iCal
DTSTART;TZID=Asia/Jerusalem:20171031T140000
DTEND;TZID=Asia/Jerusalem:20171031T150000
LAST-MODIFIED:20180115T102751Z
SUMMARY:Dynamics Seminar: Weikun He (HUJI): Orthogonal projections of discr
etized sets
URL;TYPE=URI:https://mathematics.huji.ac.il/event/dynamics-seminar-weikun-h
e-huji-orthogonal-projections-discretized-sets
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