6 problems

Fastest-convergence conjecture. For every such $\mathcal{R}$ and every $\delta\in(0,\frac{1}{2})$,

Let $E_k(\lambda)$ denote the Euclid polynomials, and consider the series … The “cauliflower” is the region depicted in Figure. Cauliflower convergence conjecture. There is converg…

Let $m\geq 1$, and consider opinions in $\mathbb{R}^m$ with a norm replacing the absolute value in the update formula. Let $\Omega$ be an arbitrary generalized weighted asynchronou…

Let $K$ be the set of truth seekers and let $\overline{K}$ be the set of ignorants in a generalized weighted asynchronous bounded-confidence opinion system (WASBOCOS) with structur…

Let $K$ be a Hilbert lattice cone and let $A$ be a finite-codimension closed affine manifold. For parameters $0\leq a,b,c<1$, consider the relaxed Douglas–Rachford iteration define…

Let $(\mathscr{P}_n)$ be a sequence of branching partitions and let $\widetilde{\mathscr{P}}$ be a branching partition. Write…