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Equivalence of concentration inequalities for linear and non-linear functions
concentration of measure large deviations quasiconvexity
2010/12/13
We consider a random variable X that takes values in a (possibly infinite-dimensional) topological vector space X. We show that, with respect to an appropriate “normal distance” on X.
Rate of convergence of linear functions on the unitary group
Rate of convergence linear functions unitary group
2010/11/29
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.
Minimal Pairs Representing Selections of Four Linear Functions in R3
Minimal pairs of convex sets convex analysis
2009/1/19
In this paper we investigate minimal pairs of continuous selections of four linear functions in R3: Our
purpose is to ßnd minimal pairs of compact convex sets (polytops) which represent all 166...