3 problems

Let $n\geqslant 1$, let $f\in L^{\infty}(\mathbb{R}^n)\cap L^{1}(\mathbb{R}^n)\cap L^{2}(\mathbb{R}^n)$, and let $B_{\lambda}$ be the block map. Hirschman-Beckner entropy conjectur…

Let $n\geqslant 1$, let $f\in L^{\infty}(\mathbb{R}^n)\cap L^{1}(\mathbb{R}^n)\cap L^{2}(\mathbb{R}^n)$, and let $B_{\lambda}$ be the block map. Quantum central limit conjecture. U…

Suppose $\mathscr{P}_{\bullet,\pm}$ is an irreducible subfactor planar algebra. For $x\in\mathscr{P}_{2,\pm}$, let $\mathfrak{F}(x)$ denote its Fourier transform, and let $P,Q$ be…