4 problems

Let $\mu_1,\mu_2,\mu_3$ be probability measures with mean $0$ and variance $1$, and let $\Delta(\mu)$ be the discrepancy of a probability measure. Let $\beta(\mu,\infty)$ denote th…

Let $\mu$ be a probability measure with mean $0$ and variance $1$, and define its discrepancy by … Let $\beta(\mu,\infty)$ denote the scaling exponent of the runtime of $\infty$-re…

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…

Let $\mu$ be a “sufficiently nice” probability measure on $\mathbb{R}$ with $\mathbb{E}_{X \sim \mu}X=0$ and $\mathbb{E}_{X \sim \mu}X^2=1$, let $\lambda\in[0,+\infty]$, and suppos…