Fixed price of groups and percolation
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Publication:4911069
DOI10.1017/S0143385711000927zbMath1260.05074arXiv1109.5418OpenAlexW2005533608MaRDI QIDQ4911069
Publication date: 13 March 2013
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.5418
Random graphs (graph-theoretic aspects) (05C80) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Percolation (82B43) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15)
Related Items (7)
Factors of IID on Trees ⋮ Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs ⋮ Percolation on hyperbolic graphs ⋮ Small spectral radius and percolation constants on non-amenable Cayley graphs ⋮ The \(L^2\) boundedness condition in nonamenable percolation ⋮ Invariant coupling of determinantal measures on sofic groups ⋮ Kazhdan groups have cost 1
Cites Work
- Density and uniqueness in percolation
- Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses
- Group-invariant percolation on graphs
- Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
- Infinite clusters in percolation models
- Cost of equivalence relations and groups
- Phase transitions on nonamenable graphs
- On the continuity of the percolation probability function
- On non-uniqueness of percolation on nonamenable Cayley graphs
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