Lorenz A. Gilch

most citedRate of Escape on the Lamplighter Tree

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2008★ 1 cited

Rate of Escape of Random Walks on Regular Languages and Free Products by Amalgamation of Finite Groups

Lorenz A. Gilch

We consider random walks on the set of all words over a finite alphabet such that in each step only the last two letters of the current word may be modified and only one letter may…

math.PR2007

Rate of Escape on Free Products

Lorenz Gilch

Suppose we are given the free product $V$ of a finite family of finite or countable sets $(V_{i})_{i \in I}$ and probability measures on each $V_{i}$ , which govern random walks…

math.PR2007★ 1 cited

Rate of Escape on the Lamplighter Tree

Lorenz Gilch

Suppose we are given a homogeneous tree $T_{q}$ of degree $q \geq 3$ , where at each vertex sits a lamp, which can be switched on or off. This structure can be described by t…

math.PR2007

Acceleration of Lamplighter Random Walks

Lorenz Gilch

Suppose we are given an infinite, finitely generated group $G$ and a transient random walk on the wreath product $(Z /2 Z) ≀ G$ , such that its projection on $G$ i…