The Loewner Energy of Loops and Regularity of Driving Functions

DOI10.1093/imrn/rnz071zbMath1482.30068arXiv1710.04959OpenAlexW2767001284MaRDI QIDQ3382587

Steffen Rohde, Yilin Wang

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04959

zbMATH Keywords

loopLoewner equationdriving functionLoewner energy

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (8)

Large deviations of Schramm-Loewner evolutions: a survey ⋮ A large deviation principle for the Schramm–Loewner evolution in the uniform topology ⋮ A deterministic approach to Loewner-energy minimizers ⋮ 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 ⋮ Remarks on Loewner chains driven by finite variation functions ⋮ Equivalent descriptions of the Loewner energy ⋮ A note on Loewner energy, conformal restriction and Werner's measure on self-avoiding loops

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