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cs.IT2026
The Entropic Sum-Product Phenomenon
Rupert Li
Let be independent and identically distributed discrete real-valued random variables of finite Shannon entropy, and write for the Shannon entropy of . We prove tha…
cs.IT2025
Entropic additive energy and entropy inequalities for sums and products
Rupert Li, Lampros Gavalakis, Ioannis Kontoyiannis
Following a growing number of studies that, over the past 15 years, have established entropy inequalities via ideas and tools from additive combinatorics, in this work we obtain a…