• Medientyp: E-Artikel
  • Titel: Fixed price of groups and percolation
  • Beteiligte: LYONS, RUSSELL
  • Erschienen: Cambridge University Press (CUP), 2013
  • Erschienen in: Ergodic Theory and Dynamical Systems
  • Sprache: Englisch
  • DOI: 10.1017/s0143385711000927
  • ISSN: 0143-3857; 1469-4417
  • Schlagwörter: Applied Mathematics ; General Mathematics
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  • Anmerkungen:
  • Beschreibung: <jats:title>Abstract</jats:title><jats:p>We prove that for every finitely generated group Γ, at least one of the following holds: (1) Γ has fixed price; (2) each of its Cayley graphs <jats:italic>G</jats:italic> has infinitely many infinite clusters for some Bernoulli percolation on <jats:italic>G</jats:italic>.</jats:p>