A new computation of pairing probabilities in several multiple-curve models
Abstract
We give a new, short computation of pairing probabilities for multiple chordal interfaces in the critical Ising model, the harmonic explorer, and for multiple level lines of the Gaussian free field.The core of the argument are the known convexity property and a new uniqueness property of local multiple SLE(κ) measures, valid for all κ > 0. In particular, the proof is directly is applicable for any underlying random curve model, once it is identified as a local multiple SLE(κ) both conditionally and unconditionally on the pairing topology.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Theoretical and Computational Physics
Markov Chains and Monte Carlo Methods
Publication details
- Journal / source
- Latin American Journal of Probability and Mathematical Statistics
- Publisher
- Institute for Applied and Pure Mathematics (IMPA)
- Volume
- 23
- Issue
- 1
- Pages
- 301–301
- Publication date
- 1 January 2026
- Language
- EN