Haonan Zhang

collaborators

4 papers

math.FA2026

The König constant is one

Xinyuan Xie, Haonan Zhang

For each $N \geq 1$ , consider the normalized König bilinear form $B_{K} : L_{\infty} (R^{N}) \times L_{\infty} (R^{N}) \to R$ given by \[ B_{\mathrm K}(f,g):=\frac{1…

math.OA2026

Sharp hypercontractivity for free group von Neumann algebras

Xinyuan Xie, Haonan Zhang

In this paper, we settle the problem of optimal hypercontractivity for free group von Neumann algebras. Namely, for $n \geq 2$ and the free group $F_{n}$ on $n$ generators, we…

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.OA2021

Curvature-dimension conditions for symmetric quantum Markov semigroups

Melchior Wirth, Haonan Zhang

Following up on the recent work on lower Ricci curvature bounds for quantum systems, we introduce two noncommutative versions of curvature-dimension bounds for symmetric quantum Ma…