Lipschitz harmonic functions on vertex-transitive graphs

Gideon Amir; Guy Blachar; Maria Gerasimova; Gady Kozma

doi:10.1214/24-ecp588

Lipschitz harmonic functions on vertex-transitive graphs

Gideon Amir, Guy Blachar, Maria Gerasimova, Gady Kozma

Bar-Ilan University, Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	Undefined/Unknown
Article number	21
Number of pages	4
Journal	Electronic Communications in Probability
Volume	29
DOIs	https://doi.org/10.1214/24-ecp588
State	Published - 1 Jan 2024

Keywords

Lipschitz harmonic functions
harmonic functions
random walks
vertex-transitive graphs

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/24-ecp588License: CC BY

Cite this

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title = "Lipschitz harmonic functions on vertex-transitive graphs",

abstract = "We prove that every locally finite vertex-transitive graph G admits a non-constant Lipschitz harmonic function.",

keywords = "Lipschitz harmonic functions, harmonic functions, random walks, vertex-transitive graphs",

author = "Gideon Amir and Guy Blachar and Maria Gerasimova and Gady Kozma",

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AU - Amir, Gideon

AU - Blachar, Guy

AU - Gerasimova, Maria

AU - Kozma, Gady

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N2 - We prove that every locally finite vertex-transitive graph G admits a non-constant Lipschitz harmonic function.

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

KW - Lipschitz harmonic functions

KW - harmonic functions

KW - random walks

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DO - 10.1214/24-ecp588

M3 - مقالة

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VL - 29

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

M1 - 21

ER -

Lipschitz harmonic functions on vertex-transitive graphs

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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