3 problems

Recursive asymptotic-variance conjecture. For each $f\in\mathcal{B}_b(\mathbb{R}^d)$,

Let $\psi$ be a graph functional satisfying the paper's growth condition, let $p_T$ denote the relevant probability associated with a finite tree $T$, and let $\sigma^2_\psi$ be th…

Let $\pi$ be the invariant measure, let $f\in L_0^2(\pi)$, and let $\phi\in L_0^2(\pi)$ be the corresponding solution of the overdamped Poisson equation. Let $\alpha_f$ be the matr…