Lower bounds on same-set inner product in correlated spaces

Let Ρ be a probability distribution over a finite alphabet Ωℓ with all ℓ marginals equal. Let X(1), . . . , X(ℓ), X(j) = (X(j)1 , . . . , X(j)n ) be random vectors such that for every coordinate i ϵ [n] the tuples (X(i)1 , . . . , X(ℓ)i ) are i.i.d. according to Ρ. The question we address is: does t...

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Bibliographic Details
Main Authors: Hazła, J, Holenstein, T, Mossel, E
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: 2022
Online Access:https://hdl.handle.net/1721.1/145808