Open Access
November 2014 A stationary random graph of no growth rate
Ádám Timár
Ann. Inst. H. Poincaré Probab. Statist. 50(4): 1161-1164 (November 2014). DOI: 10.1214/13-AIHP563

Abstract

We present a random automorphism-invariant subgraph of a Cayley graph such that with probability 1 its exponential growth rate does not exist.

Nous construisons un sous-graphe aléatoire invariant par automorphismes d’un groupe de Cayley qui n’a presque sûrement pas un taux de croissance exponentiel bien défini.

Citation

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Ádám Timár. "A stationary random graph of no growth rate." Ann. Inst. H. Poincaré Probab. Statist. 50 (4) 1161 - 1164, November 2014. https://doi.org/10.1214/13-AIHP563

Information

Published: November 2014
First available in Project Euclid: 17 October 2014

zbMATH: 1303.60014
MathSciNet: MR3269989
Digital Object Identifier: 10.1214/13-AIHP563

Subjects:
Primary: 05C80 , 60C05

Keywords: Growth rate , Stationary random graph , Unimodular graph

Rights: Copyright © 2014 Institut Henri Poincaré

Vol.50 • No. 4 • November 2014
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