Entropy lower bounds are established for sums and products, including a max(H(X+X'), H(XX')) bounded below by a linear function of H(X) and min-entropy of X over arbitrary fields.
On a conjecture of Marton
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Entropy lower bounds and sum-product phenomena
Entropy lower bounds are established for sums and products, including a max(H(X+X'), H(XX')) bounded below by a linear function of H(X) and min-entropy of X over arbitrary fields.