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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20250501T160000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-198
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:Joaco Prandi\, University of Waterloo\n\nBounding the Local Dim
 ension of the Convolution of Measures\n\nLet mu be a finite measure on a m
 etric space X. Then the local\ndimension of the measure mu at the point x 
 in the support of mu is\ngiven by\n\ndim_{loc}mu(x)=lim_r ln(B(x\,r))}\\ln
 (r)\n\nIn a sense\, dim_{loc}mu(x) represents how much mass there is aroun
 d\nthe point x. The bigger the local dimension\, the less mass there is.\n
 In this talk\, we will explore how the local dimension of the\nconvolution
  of two measures mu and nu can be bounded by the local\ndimension of one o
 f the measures. This is based on joint work with\nKevin Hare.\n\nMC5417
DTSTAMP:20260505T133058Z
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