On the uniqueness of global multiple SLEs
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Publication:2227718
DOI10.1214/20-AOP1477zbMath1478.60225arXiv1801.07699MaRDI QIDQ2227718
Hao Wu, Eveliina Peltola, Vincent Beffara
Publication date: 15 February 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.07699
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
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Cites Work
- Unnamed Item
- Unnamed Item
- Imaginary geometry. I: Interacting SLEs
- From CLE(\(\kappa\)) to SLE(\(\kappa,\rho\))'s
- The energy density in the planar Ising model
- Universality in the 2D Ising model and conformal invariance of fermionic observables
- Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\)
- Critical Ising interfaces in multiply-connected domains
- Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model
- Contour lines of the two-dimensional discrete Gaussian free field
- 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 restriction and related questions
- Partition functions, loop measure, and versions of SLE
- Intersection probabilities for a chordal SLE path and a semicircle
- The Brownian loop soup
- Scaling limits of loop-erased random walks and uniform spanning trees
- Global and local multiple SLEs for \(\kappa\leq4\) and connection probabilities for level lines of GFF
- Conformal invariance of planar loop-erased random walks and uniform spanning trees.
- Conformal loop ensembles: the Markovian characterization and the loop-soup construction
- Hölder regularity and dimension bounds for random curves
- Configurations of FK Ising interfaces and hypergeometric SLE
- On the convergence of FK-Ising percolation to \(\text{SLE}_{16/3}(16/3 -6)\)
- Boundary correlations in planar LERW and UST
- Non-simple SLE curves are not determined by their range
- Hypergeometric SLE: conformal Markov characterization and applications
- Conformal invariance of spin correlations in the planar Ising model
- Basic properties of SLE
- Random curves, scaling limits and Loewner evolutions
- Convergence of Ising interfaces to Schramm's SLE curves
- A solution space for a system of null-state partial differential equations. IV
- Critical percolation exploration path and \(\mathrm{SLE}_{6}\): a proof of convergence
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Duality of Schramm-Loewner evolutions
- Conformal restriction: The chordal case
- On multiple Schramm–Loewner evolutions
- Commutation relations for Schramm‐Loewner evolutions
- Towards conformal invariance of 2D lattice models
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