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20202026
most citedQuantum Talagrand, KKL and Friedgut's theorems and the learnability of quantum Boolean functions

3 citations · 3 across the 7 of their papers we have counts for

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math.CA2026

A Beckmann boundary form of Talagrand's conjecture on the discrete cube

Paata Ivanisvili, Xinyuan Xie, Haonan Zhang

We introduce the Beckmann boundary of a Boolean function \[ \mathsf{B}(f)=\inf_{\operatorname{div} V=Lf}\mathbb E\|V(x)\|_2. \] Here \[ L=\sum_iD_i,\qquad D_i f(x)=\frac{f(x)-f(x^{…

math.CA2026

Sharp log-Sobolev inequalities and quartic stability on finite cyclic groups

Xinyuan Xie, Haonan Zhang

Let be the cyclic group equipped with the uniform probability measure , and let be the Laplacian with word length For every $…