Moments and distribution of the local times of a transient random walk on ${\mathbb{Z}}^d$

Mathias Becker, Wolfgang Konig

Consider an arbitrary transient random walk on ${\mathbb{Z}}^d$ with $d\in \mathbb{N}$. Pick $\alpha \in [0,\infty )$ and let $L_n(\alpha )$ be the spatial sum of the $\alpha$-th power of the $n$-step local times of th…