Can I read On non-uniqueness of percolation on nonamenable Cayley graphs on EtoBox?
On non-uniqueness of percolation on nonamenable Cayley graphs by Igor Pak; Tatiana Smirnova-Nagnibeda is a Mathematics article available to read on EtoBox.
What is On non-uniqueness of percolation on nonamenable Cayley graphs about?
The aim of this Note is to prove a weak version of the conjecture of Benjamini and Schramm about phase of non-uniqueness for the Bernoulli bond percolation on nonamenable transitive graphs. We show that every nonamenable finitely generated group has a finite system of generators such that the Bernoulli bond percolation on the corresponding Cayley graph has a nonempty non-uniqueness phase. Together with previously known results, this gives a characterization of amenability of finitely generated groups in terms of uniqueness of percolation.
Who reads On non-uniqueness of percolation on nonamenable Cayley graphs?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Igor Pak; Tatiana Smirnova-Nagnibeda
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0764-4442)
- Published
- 2000
- Language
- FR
- Field
- Mathematics (Physical Sciences)