Insertion-tolerance and repetitiveness of random graphs

Autor: Cuesta, Fernando Alcalde, Rojo, Álvaro Lozano, Martínez, Antón C. Vázquez
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: To appear in Stochastics and Dynamics
Databáze: arXiv