2 problems

Bounded output-density conjecture. For every such $\mathcal{D}$, the probability density function of $\mathcal{D}^{\circ}$ is bounded from above by a constant $C$ that depends only…

Let $\mathbb{T}_0$ be the domain of the ordered $k$-tuples used in the paper, and let $p_k(\mathbf{x},\mathbf{y})$ denote the corresponding joint density. Sharp density conjecture.…