Self-avoiding walk on \(\mathbb{Z}^2\) with Yang-Baxter weights: universality of critical fugacity and 2-point function
DOI10.1214/19-AIHP1024zbMath1469.60329arXiv1708.00395MaRDI QIDQ2028936
Ioan Manolescu, Alexander Glazman
Publication date: 3 June 2021
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/1708.00395
Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Cites Work
- Unnamed Item
- The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\)
- Universality in the 2D Ising model and conformal invariance of fermionic observables
- Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
- Connective constant for a weighted self-avoiding walk on \(\mathbb{Z}^2\)
- Universality for the random-cluster model on isoradial graphs
- Bond percolation on isoradial graphs: criticality and universality
- The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\)
- On the growth constant for square-lattice self-avoiding walks
- Discretely holomorphic parafermions and integrable loop models
- Integrability as a consequence of discrete holomorphicity: loop models
- Towards conformal invariance of 2D lattice models
- Conformal invariance of lattice models
- On the Number of Self-Avoiding Walks
- FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE
This page was built for publication: Self-avoiding walk on \(\mathbb{Z}^2\) with Yang-Baxter weights: universality of critical fugacity and 2-point function
