56 citations · 228 across the 23 of their papers we have counts for
26 papers
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…
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…
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…
Types, Codes and TFTs
Roland M. Friedrich
We establish a relation between fully extended -dimensional TQFTs and recognisable weighted formal languages, rational biprefix codes and lattice TFTs. We show the equivalence o…
Generalised Operations in Free Harmonic Analysis
Roland M. Friedrich
This article, which is substantially motivated by the previous joint work with J. McKay [8], establishes the analytic analogues of the relations we found free probability has with…
(Co)monads in Free Probability Theory
Roland M. Friedrich
We discuss free probability theory and free harmonic analysis from a categorical perspective. In order to do so, we extend first the set of analytic convolutions and operations and…