Insertion-tolerance and repetitiveness of random graphs

Alcalde Cuesta, F. ; Lozano Rojo, Á. ; Vázquez Martínez, A.C.

Resumen: Bond percolation on Cayley graphs provides examples of random graphs. Other examples arise from the dynamical study of proper repetitive subgraphs of Cayley graphs. In this paper we demonstrate that these two families have mutually singular laws as a corollary of a general lemma about countable Borel equivalence relations on first countable Hausdorff spaces.

Idioma: Inglés

DOI: 10.1142/S021949371750023X

Año: 2017

Publicado en: Stochastics and Dynamics 17, 3 (2017), 1750023 [7 pp.]
ISSN: 0219-4937

Factor impacto JCR: 0.486 (2017)

Categ. JCR: STATISTICS & PROBABILITY rank: 112 / 123 = 0.911 (2017) - Q4 - T3

Factor impacto SCIMAGO: 0.506 - Modeling and Simulation (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2013-46337-C2-2-P

Tipo y forma: Article (PostPrint)