2005/09/30 by Alexander Vasil’ev, Alexander Vasil'ev, Vasil'ev, Alexander
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Crystal structures of chemical compounds #Crystallography and molecular interactions #Organic and Molecular Conductors Research #math-ph #math.CV #math.MP #msc:30C35 #msc:81T40
paper · pdf · doi:10.48550/arxiv.math-ph/0509072
12 pages
arxiv created 2005/09/30 · arxiv updated 2009/12/01
We consider subordination chains of simply connected domains with smooth boundaries in the complex plane. Such chains admit Hamiltonian and Lagrangian interpretations through the Loewner-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.