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Abstract: There are situations in geometry and group theory where it is natural, convenient or necessary to explore infinite groups via their actions on finite objects – i.e. via the finite quotients of the group. But how much understanding can one really gain about an infinite group by…
We study the renormalization group method and its applications in probability theory.
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Construction of the tropical limit (Section 2.5.4–5 of [IMS09])
Abstract: A Besicovitch set is a compact subset of R^n that contains a unit line segment pointing in every direction. The Kakeya set conjecture asserts that every Besicovitch set in R^n has Minkowski and Hausdorff dimension n. I will discuss some recent progress on this conjecture, leading to…
We study the renormalization group method and its applications in probability theory.
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