10 problems

Let $f$ be a probability density function supported on $[-\frac14,\frac14]$. The norms $\|f\ast f\|_\infty$ and $\|f\ast f\|_2$ are defined using the autoconvolution $f\ast f$. Aut…

Let $f$ be a probability density function supported on $[-\frac14,\frac14]]$. The convolution $f\ast f$ has supremum norm $\|f\ast f\|_\infty$ and $L^2$ norm $\|f\ast f\|_2$. Convo…

Let $\mu$ and $\nu$ be compactly supported probability measures, let $c\in[0,\infty]$, and let $\mu\oplus_c\nu$ denote their $c$-convolution. Let $f\in C^{4}(\mathbb{R})$ satisfy…

Zartash–Robeva conjecture. The convolution $f*g$ is log-supermodular.

Direct-sum convolution conjecture. If

Let $C_4$ be the smallest constant such that … for the function class specified in Theorem 4 of the source. The compactly supported formulation concerns functions…

Let $\scalebox{1.15}{\textsf{\upshape A}}^{\left(n\right)}$ and $\scalebox{1.15}{\textsf{\upshape C}}^{\left(n'\right)}$ be a polyadic associative algebra and a coassociative coalg…

Diaconis–Perlman unique crossing conjecture. If $\eta\prec\theta$, but $\theta$ is not a permutation of $\eta$, then $F_\eta(x)-F_\theta(x)$ changes signs exactly once, from $-$ to…

Let $\bmu$ be a parabolic character, and let $\sHg^c$ and $\sWg^c$ be the associated twisted equivariant perverse-sheaf categories. Convolution is the product operation on these ca…

Let $D$ be a vector space, and let $V$ and $W$ be vector spaces with $\dim(V)+\dim(W)=\dim(D)$. Let $\CG\in\calC(\operatorname{GL}(V))$ and $\CG'\in\calC(\operatorname{GL}(W))$, an…