3 problems

Let $S$ be a simple random walk on $\mathbb{Z}^3$, let $\mathcal{G}$ be its trace graph, and let $X^1,X^2$ be two independent simple random walks on $\mathcal{G}$. The infinite dou…

Let $S=(S_k)_{k\geq 0}$ be a simple random walk on $\mathbb{Z}^4$ with $S_0=0$, let $\mathcal{G}$ be its trace graph, and let $X^1,X^2,X^3$ be three independent simple random walks…

Single-integral reduction conjecture. The polar-coordinate collision-probability expression should be reducible to a single integral, including for anisotropic uncertainty.