Alexander Volberg

collaborators

5 papers

math.AP2026

Tightness of and counterexamples to several quantum estimates

Haonan Zhang, Joseph Slote, Alexander Volberg

We prove here several tightness results for such quantum inequalities as the comparison of operator norm and product norm of $d$ -local hamiltonians, Bohnenblust--Hille inequality f…

math.PR2026

Small moments of the sensitivity of polynomial threshold functions

Chun-Kai Tseng, Alexander Volberg

In the first version of Chang, Slote, Volberg, and Zhang's paper \cite{BSA_of_PTF}, the authors modify a nice recursive approach due to Kane in \cite{Correct_exponent_for_AS} where…

cs.CC2026

The Boolean surface area of polynomial threshold functions

Fan Chang, Joseph Slote, Alexander Volberg +1

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…

math.NT2026

Fourier growth of degree $2$ polynomials

Lars Becker, Joseph Slote, Alexander Volberg +1

We prove bounds for the absolute sum of all level- $k$ Fourier coefficients for $(- 1)^{p (x)}$ , where polynomial $p : F_{2}^{n} \to F_{2}$ is of degree $1$ or degree $2$ .

quant-ph2026

Approximating the operator norm of local Hamiltonians via few quantum states