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Solymosi, Bounding multiplicative energy by the sumset , Adv

· 2009 · Advances in Mathematics · DOI 10.1016/j.aim.2009.04.006

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The Entropic Sum-Product Phenomenon

cs.IT · 2026-07-31 · accept · novelty 8.0

For every discrete real-valued random variable X with finite entropy, max{H(X+X'), H(XX')} ≥ (8/7)H(X) - O(log H(X)).

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  • The Entropic Sum-Product Phenomenon cs.IT · 2026-07-31 · accept · none · ref 25

    For every discrete real-valued random variable X with finite entropy, max{H(X+X'), H(XX')} ≥ (8/7)H(X) - O(log H(X)).