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math.PR2007★ 7 cited
Bounds on the concentration function in terms of Diophantine approximation
Omer Friedland, Sasha Sodin
We demonstrate a simple analytic argument that may be used to bound the Levy concentration function of a sum of independent random variables. The main application is a version of a…
math.PR2007★ 1 cited
An isoperimetric inequality for uniformly log-concave measures and uniformly convex bodies
Emanuel Milman, Sasha Sodin
We prove an isoperimetric inequality for the uniform measure on a uniformly convex body and for a class of uniformly log-concave measures (that we introduce). These inequalities im…