66 citations · 277 across the 37 of their papers we have counts for
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Polyharmonic potential theory on the Poincaré disk
Massimo A. Picardello, Maura Salvatori, Wolfgang Woess
We consider the open unit disk equipped with the hyperbolic metric and the associated hyperbolic Laplacian . For and …
Boundary representations of -harmonic and polyharmonic functions on trees
Massimo A. Picardello, Wolfgang Woess
On a countable tree , allowing vertices with infinite degree, we consider an arbitrary stochastic irreducible nearest neighbour transition operator . We provide a boundary in…
Multiple boundary representations of -harmonic functions on trees
Massimo A. Picardello, Wolfgang Woess
We consider a countable tree , possibly having vertices with infinite degree, and an arbitrary stochastic nearest neighbour transition operator . We provide a boundary integr…
On the spectrum of lamplighter groups and percolation clusters
Franz Lehner, Markus Neuhauser, Wolfgang Woess
Let be a finitely generated group and its Cayley graph with respect to a finite, symmetric generating set . Furthermore, let be a finite group and the lamp…
The spectrum of the averaging operator on a network (metric graph)
Donald I. Cartwright, Wolfgang Woess
A network is a countable, connected graph X viewed as a one-complex, where each edge [x,y]=[y,x] (x,y in X^0, the vertex set) is a copy of the unit interval within the graph's one-…