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math.OC2005
Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
Alexander Barvinok
We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in R^n and related problems of complex integration and optimization…
math.OC2002
Estimating Maximum by Moments for Functions on Orbits
Alexander Barvinok
Let G be a compact group acting in a real vector space V. We obtain a number of inequalities relating the L^infinity norm of a matrix element of the representation of G with its L^…