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4:00 pm Wednesday, December 3, 2008 Geometry-Analysis Seminar: The Favard Length of Product Cantor Setby
Izabella Laba (University of British Columbia) in HB 227- Let K_n be the n-th iteration of the 4-corner Cantor set. The Favard length Fav(K_n) of K_n is defined as the average length of 1-dimensional projections of K_n in all possible directions. It is well known that Fav(K_n) goes to zero as n goes to infinity. The hard problem is to estimate the exact rate of decay. Early this year, Nazarov, Peres and Volberg obtained a power-type upper bound. In joint work with Kelan Zhai, we simplify their proof somewhat and extend it to a more general class of product Cantor sets.
Submitted by damanik@rice.edu |