66 citations · 277 across the 37 of their papers we have counts for
4 papers · 1 filter
Spectral computations on lamplighter groups and Diestel-Leader graphs
Laurent Bartholdi, Wolfgang Woess
The Diestel-Leader graph DL(q,r) is the horocyclic product of the homogeneous trees with respective degrees q+1 and r+1. When q=r, it is the Cayley graph of the lamplighter group (…
Non-backtracking random walks and cogrowth of graphs
Ronald Ortner, Wolfgang Woess
Let X be a locally finite, connected graph without vertices of degree 1. Non-backtracking random walk moves at each step with equal probability to one of the "forward" neighbours o…
Lamplighters, Diestel-Leader graphs, random walks, and harmonic functions
Wolfgang Woess
The lamplighter group over is the wreath product . With respect to a natural generating set, its Cayley graph is the Diestel-Leader graph $DL…
Green kernel estimates and the full Martin boundary for random walks on lamplighter groups and Diestel-Leader graphs
Sara Brofferio, Wolfgang Woess
We determine the precise asymptotic behaviour (in space) of the Green kernel of simple random walk with drift on the Diestel-Leader graph , where . The latter i…