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Energy characteristics of subordination chains

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Arkiv för Matematik

Abstract

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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Authors and Affiliations

  1. Department of Mathematics, University of Bergen, Johannes Brunsgate 12, NO-5008, Bergen, Norway

    Alexander Vasil’ev

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  1. Alexander Vasil’ev
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Correspondence to Alexander Vasil’ev.

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Vasil’ev, A. Energy characteristics of subordination chains. Ark Mat 45, 141–156 (2007). https://doi.org/10.1007/s11512-006-0031-8

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  • DOI: https://doi.org/10.1007/s11512-006-0031-8

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