Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian

We introduce the class of controlled Loewner-Kufarev equations and consider aspects of their algebraic nature. We lift the solution of such a controlled equation to the (Sato)-Segal-Wilson Grassmannian, and discuss its relation with the tau-function. We briefly highlight relations of the Grunsky mat...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Amaba, Takafumi, Friedrich, Roland
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211012
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian. Takafumi Amaba and Roland Friedrich. SIGMA 16 (2020), 108, 25 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine