Backward SLE and the symmetry of the welding

DOI10.1007/s00440-015-0620-1zbMath1341.30012arXiv1307.2532OpenAlexW2005566665MaRDI QIDQ267018

Dapeng Zhan, Steffen Rohde

Publication date: 7 April 2016

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

Full work available at URL: https://arxiv.org/abs/1307.2532

zbMATH Keywords

conformal mapconformal weldingSchramm-Loewner evolution

Mathematics Subject Classification ID

Brownian motion (60J65) General theory of univalent and multivalent functions of one complex variable (30C55) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (8)

Multiple backward Schramm-Loewner evolution and coupling with Gaussian free field ⋮ Ergodicity of the tip of an SLE curve ⋮ The chordal Loewner equation and monotone probability theory ⋮ An asymptotic radius of convergence for the Loewner equation and simulation of \(\mathrm{SLE}_{\kappa}\) traces via splitting ⋮ Decomposition of backward SLE in the capacity parametrization ⋮ Decomposition of Schramm-Loewner evolution along its curve ⋮ Two-curve Green's function for 2-SLE: the boundary case ⋮ Time-reversal of multiple-force-point \(\mathrm{SLE}_{\kappa}(\underline{\rho})\) with all force points lying on the same side

Cites Work

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• The scaling limits of planar LERW in finitely connected domains
• Conformal welding and Koebe's theorem
• On the Loewner differential equation
• SLE coordinate changes
• Ergodicity of the tip of an SLE curve
• Conformal restriction: The chordal case
• Commutation relations for Schramm‐Loewner evolutions
• Values of Brownian intersection exponents. I: Half-plane exponents

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