English

Lipschitz harmonic functions on vertex-transitive graphs

Combinatorics 2023-09-13 v1 Probability

Abstract

We prove that every locally finite vertex-transitive graph GG admits a non-constant Lipschitz harmonic function.

Keywords

Cite

@article{arxiv.2309.06247,
  title  = {Lipschitz harmonic functions on vertex-transitive graphs},
  author = {Gideon Amir and Guy Blachar and Maria Gerasimova and Gady Kozma},
  journal= {arXiv preprint arXiv:2309.06247},
  year   = {2023}
}

Comments

5 pages

R2 v1 2026-06-28T12:19:15.406Z