On random graph homomorphisms into \({\mathbb{Z}}\)
From MaRDI portal
Publication:1569064
DOI10.1006/jctb.1999.1931zbMath1023.05123OpenAlexW2064513813MaRDI QIDQ1569064
Elchanan Mossel, Olle Häggström, Itai Benjamini
Publication date: 25 June 2000
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jctb.1999.1931
Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items
Uniqueness of uniform random colorings of regular trees, Random mappings of scaled graphs., On the transition between the disordered and antiferroelectric phases of the 6-vertex model, Homomorphisms from the torus, A note on random homomorphism from arbitrary graphs to \(\mathbb{Z}\), On homomorphisms from the Hamming cube to \(\mathbb{Z}\), Unnamed Item, Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \), Annihilation and coalescence on binary trees, \(H\)-coloring tori, Range of cube-indexed random walk, Graph-indexed random walks on pseudotrees, On the distribution of range for tree-indexed random walks, Lipschitz Functions on Expanders are Typically Flat, Logarithmic variance for the height function of square-ice
Cites Work
- Gibbs measures and phase transitions
- Correlation inequalities on some partially ordered sets
- Tree-indexed random walks on groups and first passage percolation
- On the relation between finite range potentials and subshifts of finite type
- Concentration of measure and isoperimetric inequalities in product spaces
- The stochastic random-cluster process and the uniqueness of random-cluster measures
- Gaussian Hilbert Spaces
- A subshift of finite type that is equivalent to the Ising model
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
