Universality conjecture for greedy dynamics runtime exponents

Let $\mu$ be a “sufficiently nice” probability measure with mean $0$ and variance $1$, and let $\beta(\mu,0)$ denote the scaling exponent of the runtime of $0$-reluctant, or greedy, dynamics. Greedy runtime universality conjecture. $\beta(\mu,0)\approx 1.1$ is a constant independent of $\mu$. This conjecture proposes universality of the greedy runtime exponent across a broad class of normalized entry distributions; its resolution is not established in the supplied text.