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Energy characteristics of subordination chains

Alexander Vasil’ev Department of Mathematics, University of Bergen

TBD mathscidoc:1701.333097

Arkiv for Matematik, 45, (1), 141-156, 2005.9
We consider subordination chains of simply connected domains with smooth boundaries in the complex plane. Such chains admit Hamiltonian and Lagrangian interpretations through the Löwner–Kufarev evolution equations. The action functional is constructed and its time variation is obtained. It represents the infinitesimal version of the action of the Virasoro–Bott group over the space of analytic univalent functions.
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@inproceedings{alexander2005energy,
  title={Energy characteristics of subordination chains},
  author={Alexander Vasil’ev},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203618975123906},
  booktitle={Arkiv for Matematik},
  volume={45},
  number={1},
  pages={141-156},
  year={2005},
}
Alexander Vasil’ev. Energy characteristics of subordination chains. 2005. Vol. 45. In Arkiv for Matematik. pp.141-156. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203618975123906.
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