2 problems

Let $G$) be a Strongly Ulam Stable group, and let $F_G$ denote its SUS modulus. Linear decay conjecture. Every Strongly Ulam Stable group $G$ has $O(\varepsilon)$ decay at $0$ of t…

Let $\mathbb{P}$ satisfy the condition $\mathsf{CFS}(\beta,\Psi)$, where $\beta\in(\frac12,1)$, and let ${\mathbf{b}}_r(x)$ and $\bar{\mathbf{a}}$ denote the corresponding rescaled…