The scaling limit of the weakly self-avoiding walk on a high-dimensional torus
From MaRDI portal
Publication:6138095
DOI10.1214/23-ecp531arXiv2203.07695OpenAlexW4385061096MaRDI QIDQ6138095
Publication date: 5 September 2023
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.07695
Brownian motion (60J65) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Critical phenomena in equilibrium statistical mechanics (82B27) Functional limit theorems; invariance principles (60F17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-range self-avoiding walk converges to \(\alpha\)-stable processes
- Self-avoiding walk on the complete graph
- Mean-field critical behaviour for percolation in high dimensions
- Self-avoiding walk in 5 or more dimensions
- The scaling limit of self-avoiding random walk in high dimensions
- Self-avoiding walk in five or more dimensions. I: The critical behaviour
- A new inductive approach to the lace expansion for self-avoiding walks
- Lace expansion for dummies
- Application of the lace expansion to the \(\varphi^4\) model
- Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis
- Critical two-point function of the 4-dimensional weakly self-avoiding walk
- Lace expansion for the Ising model
- The lace expansion and its application. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004.
- On the upper critical dimension of lattice trees and lattice animals
- Critical behaviour of self-avoiding walk in five or more dimensions
- Convergence of self-avoiding random walk to Brownian motion in high dimensions
- THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS
- Weakly self-avoiding walk on a high-dimensional torus
This page was built for publication: The scaling limit of the weakly self-avoiding walk on a high-dimensional torus
