The triangle and the open triangle
From MaRDI portal
Publication:629799
DOI10.1214/09-AIHP352zbMath1221.60140arXiv0907.1959MaRDI QIDQ629799
Publication date: 10 March 2011
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.1959
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Probabilistic methods in group theory (20P05) Applications of operator theory in probability theory and statistics (47N30)
Related Items
On the derivation of mean-field percolation critical exponents from the triangle condition, Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs, Percolation on a product of two trees, Percolation on hyperbolic graphs, The \(L^2\) boundedness condition in nonamenable percolation
Cites Work
- Percolation on a product of two trees
- Gaussian estimates for Markov chains and random walks on groups
- Mean-field critical behaviour for percolation in high dimensions
- Mean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk
- The Alexander-Orbach conjecture holds in high dimensions
- Tree graph inequalities and critical behavior in percolation models
- Percolation critical exponents under the triangle condition
- Mean-field criticality for percolation on planar non-amenable graphs
- Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models.
- Gap exponents for percolation processes with triangle condition
- Percolation
- Multiplicity of phase transitions and mean-field criticality on highly non-amenable graphs.
- Unnamed Item
