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math.PR2021
Laplace and bi-Laplace equations for directed networks and Markov chains
Thomas Hirschler, Wolfgang Woess
The networks of this -- primarily (but not exclusively) expository -- compendium are strongly connected, finite directed graphs , where each oriented edge is equipped wi…
math.PR2019
Polyharmonic functions for finite graphs and Markov chains
Thomas Hirschler, Wolfgang Woess
On a finite graph with a chosen partition of the vertex set into interior and boundary vertices, a -polyharmonic function is a complex function on the vertex set which satis…