48 citations · 169 across the 56 of their papers we have counts for
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math.MG2013
Graphs of finite measure
Agelos Georgakopoulos, Sebastian Haeseler, Matthias Keller +2
We consider weighted graphs with an infinite set of vertices. We show that boundedness of all functions of finite energy can be seen as a notion of `relative compactness' for such…
math.CO2013★ 2 cited
Hitting Times, Cover Cost, and the Wiener Index of a Tree
Agelos Georgakopoulos, Stephan Wagner
We exhibit a close connection between hitting times of the simple random walk on a graph, the Wiener index, and related graph invariants. In the case of trees we obtain a simple id…
math.PR2013★ 1 cited
The Boundary of a Square Tiling of a Graph coincides with the Poisson Boundary
Agelos Georgakopoulos
Answering a question of Benjamini & Schramm [8], we show that the Poisson boundary of any planar, uniquely absorbing (e.g. one-ended and transient) graph with bounded degrees can b…