Approximations of standard equivalence relations and Bernoulli percolation at \(p_u\)

DOI10.1016/j.crma.2016.09.011zbMath1351.60126arXiv1509.00247OpenAlexW2964186570MaRDI QIDQ338068

Damien Gaboriau, Robin D. Tucker-Drob

Publication date: 3 November 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00247

zbMATH Keywords

Cayley graphsBernoulli percolationorbit equivalence theorystandard equivalence relations

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (4)

Approximations of standard equivalence relations and Bernoulli percolation at \(p_u\) ⋮ Stability for product groups and property \(( \tau )\) ⋮ Cocycle superrigidity for profinite actions of irreducible lattices ⋮ Global aspects of measure preserving equivalence relations and graphs

Cites Work

• Approximations of standard equivalence relations and Bernoulli percolation at \(p_u\)
• Subequivalence relations and positive-definite functions
• Monotonicity of uniqueness for percolation on Cayley graphs: All infinite clusters are born simultaneously
• Percolation on nonamenable products at the uniqueness threshold
• Indistinguishability of percolation clusters
• \(\ell^2\) invariants of equivalence relations and groups
• Invariant percolation and harmonic Dirichlet functions
• Asymptotically Invariant Sequences and Approximate Finiteness
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I

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