Near-critical spanning forests and renormalization
DOI10.1214/19-AOP1413MaRDI QIDQ782412
Wendelin Werner, Laure Dumaz, Stéphane Benoist
Publication date: 27 July 2020
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.08093
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robust discrete complex analysis: a toolbox
- Scaling limit of the loop-erased random walk Green's function
- Some partial results on the convergence of loop-erased random walk to \(\mathrm{SLE}(2)\) in the natural parametrization
- Discrete complex analysis on isoradial graphs
- On the scaling limits of planar percolation
- The dimension of the SLE curves
- The growth exponent for planar loop-erased random walk
- The Brownian loop soup
- Scaling limits of loop-erased random walks and uniform spanning trees
- The scaling limits of the minimal spanning tree and invasion percolation in the plane
- The scaling limits of near-critical and dynamical percolation
- Uniform spanning forests
- Conformal invariance of planar loop-erased random walks and uniform spanning trees.
- Minkowski content and natural parameterization for the Schramm-Loewner evolution
- The scaling limit of loop-erased random walk in three dimensions
- Discrete Complex Analysis and Probability
- Random walk loop soup
- Random Walk: A Modern Introduction
- A Discrete Analogue of a Theorem of Makarov
- On the Spatial Markov Property of Soups of Unoriented and Oriented Loops
- A Simple Renormalization Flow for FK-percolation Models
- Pivotal, cluster, and interface measures for critical planar percolation
- The Random-Cluster Model
- The asymptotic determinant of the discrete Laplacian
This page was built for publication: Near-critical spanning forests and renormalization