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math.AP2026
Tightness of and counterexamples to several quantum estimates
Joseph Slote, Alexander Volberg, Haonan Zhang
We prove here several tightness results for such quantum inequalities as 1) the comparison of operator norm and product norm of -local hamiltonians, 2) Bohnenblust--Hille inequa…
cs.CC2026
The estimates for Boolean surface area of polynomial threshold functions
Fan Chang, Joseph Slote, Alexander Volberg +2
Polynomial threshold functions (PTFs) are an important low-complexity class of Boolean functions, with strong connections to learning theory and approximation theory. Recent work o…