2 papers
math.PR2025
Potentials in recurrent networks: a survey
Asaf Nachmias, Yuval Peres
A nonnegative function on the vertices of an infinite graph G which vanishes at a distinguished vertex o, has Laplacian 1 at o, and is harmonic at all other vertices is called a po…
math.PR2025
Every recurrent network has a potential tending to infinity
Asaf Nachmias, Yuval Peres
A rooted network consists of a connected, locally finite graph G, equipped with edge conductances and a distinguished vertex o. A nonnegative function on the vertices of G which va…