Abstract
We prove that every locally finite vertex-transitive graph G admits a non-constant Lipschitz harmonic function.
Acknowledgments
During this research G.A. and G.B. were supported by Israeli Science Foundation grant #957/20. G.B. was also supported by the Bar-Ilan President’s Doctoral Fellowships of Excellence. G.K. was supported by the Israel Science Foundation grant #607/21 and by the Jesselson Foundation. M.G. was supported by the DFG – Project-ID 427320536 – SFB 1442, and under Germany’s Excellence Strategy EXC 2044 390685587, Mathematics Münster: Dynamics–Geometry–Structure.
Citation
Gideon Amir. Guy Blachar. Maria Gerasimova. Gady Kozma. "Lipschitz harmonic functions on vertex-transitive graphs." Electron. Commun. Probab. 29 1 - 4, 2024. https://doi.org/10.1214/24-ECP588
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