2 papers
math.PR2019
On the Probabilistic Representation of the Free Effective Resistance of Infinite Graphs
Tobias Weihrauch, Stefan Bachmann
We completely characterize when the free effective resistance of an infinite graph can be expressed in terms of simple hitting probabilities of the graphs random walk.
math.PR2017
A Characterization of Effective Resistance Metrics
Tobias Weihrauch
We produce a characterization of finite metric spaces which are given by the effective resistance of a graph. This characterization is applied to the more general context of resist…