Topological characterisations of Loewner traces

DOI10.1512/iumj.2022.71.8966zbMath1494.30014arXiv2003.05535OpenAlexW4285065726MaRDI QIDQ5093768

Yizheng Yuan

Publication date: 1 August 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05535

zbMATH Keywords

Loewner equationLoewner trace

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20) Quasiconformal mappings in the complex plane (30C62)

Related Items (2)

A deterministic approach to Loewner-energy minimizers ⋮ Law of the SLE tip

Cites Work

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• Optimal Hölder exponent for the SLE path
• Scaling limits of loop-erased random walks and uniform spanning trees
• Conformal invariance of planar loop-erased random walks and uniform spanning trees.
• Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
• Spacefilling curves and phases of the Loewner equation
• Conformal Maps and Geometry

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