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Home » Estimating the probability of the needle to land near a Cantor set

Seminar

Estimating the probability of the needle to land near a Cantor set March 06, 2012 (04:00PM PST - 05:00PM PST)
Location: MSRI: Simons Auditorium
Speaker(s) Alexander Volberg
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The problem of estimating the average length of the projection of C^n small discs located in the Cantor pattern turns out to mix the combinatorial, complex analytic, and Fourier analytic methods along with some knowledge of diophantine trigonometric equations and a bit of number theory. Still there are many unsolved problems with really simple formulations. I will give an overview of the problems and methods including showing the motivation, which is rooted in some properties of analytic capacity.

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