Energy characteristics of subordination chains
Vasil'ev, Alexander
arXiv, 0509072 / Harvested from arXiv
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.
Publié le : 2005-09-30
Classification:  Mathematical Physics,  Mathematics - Complex Variables,  30C35,  81T40
@article{0509072,
     author = {Vasil'ev, Alexander},
     title = {Energy characteristics of subordination chains},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509072}
}
Vasil'ev, Alexander. Energy characteristics of subordination chains. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509072/