3 papers
math.CV2019
Univalence and holomorphic extension of the solution to -controlled Loewner-Kufarev equations
Takafumi Amaba, Roland Friedrich, Takuya Murayama
We prove that a solution to the -controlled Loewner-Kufarev equation, which was introduced by the first two authors, exists uniquely, is univalent and starlike on the unit disk…
math-ph2018
Modulus of Continuity of Controlled Loewner-Kufarev Equations and Random Matrices
Takafumi Amaba, Roland Friedrich
First we introduce the two tau-functions which appeared either as the -function of the integrable hierarchy governing the Riemann mapping of Jordan curves or in conformal field…
math-ph2018
Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian
Takafumi Amaba, Roland Friedrich
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)-Sega…