Mathias Becker

most citedSelf-intersection local times of random walks: Exponential moments in subcritical dimensions

11 citations · 12 across the 2 of their papers we have counts for

collaborators

2 papers

math.PR2010★ 11 cited

Self-intersection local times of random walks: Exponential moments in subcritical dimensions

Mathias Becker, Wolfgang König

Fix $p > 1$ , not necessarily integer, with $p (d - 2) < d$ . We study the $p$ -fold self-intersection local time of a simple random walk on the lattice $Z^{d}$ up to time $t$ . This is the $p…

math.PR2007★ 1 cited

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

Mathias Becker, Wolfgang Konig

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

Self-intersection local times of random walks: Exponential moments in subcritical dimensions

Moments and distribution of the local times of a transient random walk on Zd

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