Remarks on Loewner chains driven by finite variation functions

DOI10.5186/aasfm.2019.4421zbMath1421.30011arXiv1710.07302OpenAlexW3105564092WikidataQ128361325 ScholiaQ128361325MaRDI QIDQ4632057

Atul Shekhar, Huy Tran, Yilin Wang

Publication date: 25 April 2019

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07302

zbMATH Keywords

Loewner differential equationcontinuity of Loewner mapsfinite-variation driverstrace of Loewner chains

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Ordinary differential equations in the complex domain (34M99)

Related Items

Singular paths spaces and applications ⋮ An asymptotic radius of convergence for the Loewner equation and simulation of \(\mathrm{SLE}_{\kappa}\) traces via splitting ⋮ A deterministic approach to Loewner-energy minimizers ⋮ Function theoretic characterizations of Weil-Petersson curves ⋮ Regularity of SLE in \((t,\kappa)\) and refined GRR estimates ⋮ Continuity in \(\kappa\) in \(\mathrm{SLE}_\kappa\) theory using a constructive method and rough path theory ⋮ Continuity of Zero-Hitting Times of Bessel Processes and Welding Homeomorphisms of SLE$_\kappa$ ⋮ Equivalent descriptions of the Loewner energy

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