Hadamard's formula and couplings of SLEs with free field

DOI10.1007/s00440-011-0391-2zbMath1269.60067arXiv1006.1853OpenAlexW2149075098MaRDI QIDQ1939556

Konstantin Izyurov, Kalle Kytölä

Publication date: 4 March 2013

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1853

zbMATH Keywords

Green's functioncouplingstochastic Loewner evolutionGaussian free fieldsHadamard's formula

Mathematics Subject Classification ID

Random fields (60G60) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (20)

Imaginary geometry. I: Interacting SLEs ⋮ Multiple backward Schramm-Loewner evolution and coupling with Gaussian free field ⋮ On multiple SLE for the FK-Ising model ⋮ Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\) ⋮ Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines ⋮ A contour line of the continuum Gaussian free field ⋮ Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees ⋮ Metric growth dynamics in Liouville quantum gravity ⋮ Level lines of the Gaussian free field with general boundary data ⋮ Coupling of Gaussian Free Field with General Slit SLE ⋮ ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE FIELD ⋮ Slit holomorphic stochastic flows and Gaussian free field ⋮ Intersections of SLE paths: the double and cut point dimension of SLE ⋮ The Gaussian free field and Hadamard's variational formula ⋮ Smirnov's observable for free boundary conditions, interfaces and crossing probabilities ⋮ Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\) ⋮ Pure partition functions of multiple SLEs ⋮ Conformal field theory for annulus SLE: partition functions and martingale-observables ⋮ On the GFF with one free boundary condition ⋮ Three phases of multiple SLE driven by non-colliding Dyson’s Brownian motions

Cites Work

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• The scaling limits of planar LERW in finitely connected domains
• SLE coordinate changes
• Gaussian free field and conformal field theory
• SLE and the free field: Partition functions and couplings
• Off-critical lattice models and massive SLEs
• Off-critical SLE(2) and SLE(4): a field theory approach
• Dipolar stochastic Loewner evolutions

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