Contraction and decoupling inequalities for multilinear forms and u-statistics

Mathematics – Probability

Scientific paper

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Scientific paper

We prove decoupling inequalities for random polynomials in independent random
variables with coefficients in vector space. We use various means of
comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz
norms), tail distributions, tightness, hypercontractivity, etc.

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