Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Ignacio Garcia, Department of Pure Math, University of Waterloo
“Packing measure and a theorem of Besicovitch”
Packing measures, as well as Hausdorff measures, are used to provide fine information on the size of fractal sets. For many random sets, especially related to Brownian motion, packing measures (rather than Hausdorff measures) provide the right concept to measure the size of the set.
Packing measures are in some sense dual to Hausdorff measures, and in many situations it is expected that results which are valid for one of them have their dual version for the other. In the talk I will discuss a theorem of Besicovitch for Hausdorff measures and I will show
that its version for packing measures does not hold in general.
MC 5417
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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