Mean-Field Monomer-Dimer Models. A Review
DOI10.1007/978-981-15-0294-1_2zbMath1446.82092arXiv1612.09181OpenAlexW2566239821MaRDI QIDQ3297356
Emanuele Mingione, Pierluigi Contucci, Diego Alberici
Publication date: 3 July 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.09181
Central limit and other weak theorems (60F05) Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of polymers (82D60) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)
Cites Work
- Unnamed Item
- Unnamed Item
- A cluster expansion approach to the Heilmann-Lieb liquid crystal model
- Central limit theorems, Lee-Yang zeros, and graph-counting polynomials
- A Pfaffian formula for monomer-dimer partition functions
- Limit theorems for monomer-dimer mean-field models with attractive potential
- The nematic phase of a system of long hard rods
- Matchings on infinite graphs
- Solution of the monomer-dimer model on locally tree-like graphs. Rigorous results
- A mean-field monomer-dimer model with randomness: exact solution and rigorous results
- Ising models on locally tree-like graphs
- Gibbs measures and phase transitions on sparse random graphs
- Nematic liquid crystal phase in a system of interacting dimers and monomers
- The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields
- Factor models on locally tree-like graphs
- Theory of monomer-dimer systems
- Aggregation models on hypergraphs
- Limit theorems in the imitative monomer-dimer mean-field model via Stein’s method
- Weighted enumeration of spanning subgraphs in locally tree-like graphs
- The statistics of dimers on a lattice
- Statistical Mechanics of Dimers on a Plane Lattice
- Limit theorems for sums of dependent random variables occurring in statistical mechanics
- Limit theorems for sums of dependent random variables occurring in statistical mechanics
- A mean-field monomer-dimer model with attractive interaction: Exact solution and rigorous results
- Critical Behavior of Several Lattice Models with Long-Range Interaction
- Columnar phase in quantum dimer models
- Dimer problem in statistical mechanics-an exact result
- Mathematical aspects of mean field spin glass theory
- On Ising's model of ferromagnetism
- Statistical theory of the adsorption of double molecules
This page was built for publication: Mean-Field Monomer-Dimer Models. A Review
