Fractal Geometry SeminarExport this event to calendar

Wednesday, November 18, 2015 — 2:30 PM EST

Javad Mashreghi, Pure Math Department Visitor from University of Laval

“The capacity of generalized Cantor sets”

The classical Cantor set is defined on the closed unit interval [0,1] and has a very symmetric structure. We provide two general definitions: 1) Cantor set and 2) K-capacity both on an arbitrary compact metric space. No doubt, the classical Cantor set and the logarithmic capacity are under this giant umbrella. Then we effectively estimate the K-capacity of a Cantor set. This result is the key ingredient in studying the one-box condition for Carleson measures of the Dirichlet space.

MC 5403

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