Connection probabilities for conformal loop ensembles
From MaRDI portal
Publication:1671026
DOI10.1007/s00220-018-3207-8zbMath1400.60128arXiv1702.02919OpenAlexW2588702696WikidataQ129449222 ScholiaQ129449222MaRDI QIDQ1671026
Publication date: 6 September 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.02919
Gaussian free fieldSchramm-Loewner evolutionsconformal loop ensemblesconnection probabilities\(\mathrm{FK}(q)\)-percolation model
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
Related Items (7)
Planar random-cluster model: scaling relations ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ CLE PERCOLATIONS ⋮ Two-curve Green's function for 2-SLE: the interior case ⋮ Toward a conformal field theory for Schramm-Loewner evolutions ⋮ Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces ⋮ Hypergeometric SLE: conformal Markov characterization and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Imaginary geometry. I: Interacting SLEs
- Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\)
- A contour line of the continuum Gaussian free field
- From CLE(\(\kappa\)) to SLE(\(\kappa,\rho\))'s
- Universality in the 2D Ising model and conformal invariance of fermionic observables
- Quantum gravity and inventory accumulation
- Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\)
- Intersections of SLE paths: the double and cut point dimension of SLE
- Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
- Reversibility of some chordal \(SLE(\kappa ;\rho )\) traces
- Liouville quantum gravity and KPZ
- Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\)
- Pure partition functions of multiple SLEs
- Multiple Schramm-Loewner evolutions and statistical mechanics martingales
- Conformal radii for conformal loop ensembles
- Euler integrals for commuting SLEs
- Two-dimensional critical percolation: the full scaling limit
- Duality of chordal SLE
- Conformal restriction and related questions
- Exploration trees and conformal loop ensembles
- A guide to stochastic Löwner evolution and its applications
- Crossing probabilities and modular forms
- SLEs as boundaries of clusters of Brownian loops
- The Brownian loop soup
- Scaling limits of loop-erased random walks and uniform spanning trees
- Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
- Conditioning a Brownian loop-soup cluster on a portion of its boundary
- Conformal invariance of planar loop-erased random walks and uniform spanning trees.
- Conformal loop ensembles: the Markovian characterization and the loop-soup construction
- The parafermionic observable in SLE
- Duality of chordal SLE. II
- On conformally invariant CLE explorations
- Basic properties of SLE
- Random curves, scaling limits and Loewner evolutions
- Conformal invariance of boundary touching loops of FK Ising model
- Convergence of Ising interfaces to Schramm's SLE curves
- SLE coordinate changes
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- SLE and the free field: Partition functions and couplings
- Discrete Complex Analysis and Probability
- Course 2 Some recent aspects of random conformally invariant systems
- Duality of Schramm-Loewner evolutions
- Conformal restriction: The chordal case
- ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE FIELD
- CLE PERCOLATIONS
- Commutation relations for Schramm‐Loewner evolutions
- The Random-Cluster Model
- Values of Brownian intersection exponents. I: Half-plane exponents
This page was built for publication: Connection probabilities for conformal loop ensembles
