Critical percolation in annuli and
arXiv:math/0306056 · doi:10.1007/s00220-003-1029-8
Abstract
Building on the identification of the scaling limit of the critical percolation exploration process as a Schramm-Loewner Evolution, we derive a PDE characterization for the crossing probability of an annulus.
13 pages, 1 figure
References in corpus (6)
- Critical Percolation in Finite Geometries
- Values of Brownian intersection exponents III: Two-sided exponents
- Random planar curves and Schramm-Loewner evolutions
- A crossing probability for critical percolation in two dimensions
- Conformal Invariance and Percolation
- Crossing Formulae for Critical Percolation in an Annulus
Cited by in corpus (11)
- 2D growth processes: SLE and Loewner chains
- Commutation relations for SLE
- The Loewner equation: maps and shapes
- Excursion decompositions for $\SLE$ and Watts' crossing formula
- The O(n) model on the annulus
- Conformal restriction and related questions
- Restricting SLE(8/3) to an annulus
- Conformal field theory for annulus SLE: partition functions and martingale-observables
- SLE and Virasoro representations: localization
- Stochastic Loewner evolution in doubly connected domains
- Universality in Two-Dimensional Enhancement Percolation