The energy of a deterministic Loewner chain: reversibility and interpretation via SLE\(_{0+}\)

DOI10.4171/JEMS/876zbMath1422.30031arXiv1601.05297MaRDI QIDQ2002830

Yilin Wang

Publication date: 12 July 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05297

zbMATH Keywords

reversibilityquasiconformal mappingSchramm-Loewner evolutionLoewner differential equationLoewner energy

Mathematics Subject Classification ID

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

Related Items (17)

Brownian loops and the central charge of a Liouville random surface ⋮ Large deviations of Schramm-Loewner evolutions: a survey ⋮ The traveling salesman theorem for Jordan curves ⋮ A support theorem for SLE curves ⋮ A large deviation principle for the Schramm–Loewner evolution in the uniform topology ⋮ A deterministic approach to Loewner-energy minimizers ⋮ The Loewner–Kufarev energy and foliations by Weil–Petersson quasicircles ⋮ The Loewner energy via the renormalised energy of moving frames ⋮ Large deviations of multichordal \(\mathrm{SLE}_{0+}\), real rational functions, and zeta-regularized determinants of Laplacians ⋮ Large deviations of radial \(SLE_{\infty}\) ⋮ Function theoretic characterizations of Weil-Petersson curves ⋮ Remarks on Loewner chains driven by finite variation functions ⋮ Interplay between Loewner and Dirichlet energies via conformal welding and flow-lines ⋮ Equivalent descriptions of the Loewner energy ⋮ Schramm's formula and the Green's function for multiple SLE ⋮ The semiclassical limit of Liouville conformal field theory ⋮ A note on Loewner energy, conformal restriction and Werner's measure on self-avoiding loops

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