Abstract. We prove that for every C> 0 there exists a driving function U: [0, 1] → R such that the corresponding chordal Loewner-Kufarev equation generates a quasislit and lim suph↓
A quasislit is the image of a vertical line segment \([0, iy]\), \(y > 0\), under a quasiconforma...
Through the Loewner equation, real-valued driving functions generate sets called Loewner hulls. We a...
This thesis studies the curve generation problem of the general Loewner equation. We use a local tra...
The aim of this survey paper is to present a complete direct proof of a well celebrated cornerstone ...
Abstract. The Loewner equation encrypts a growing simple curve in the plane into a real-valued drivi...
AbstractWe obtain a first order differential equation for the driving function of the chordal Loewne...
In this paper we introduce a general version of the notion of Loewner chains which comes from the ne...
In this paper, we show that the chordal Loewner differential equation with Cβ driving function gener...
In 1972, Becker (J Reine Angew Math 255:23–43, 1972), discovered a construction of quasiconformal ex...
We prove that given a Herglotz vector field on the unit ball of C^n of the form H(z,t)=(a_1 z_1,dot...
Thesis (Ph.D.)--University of Washington, 2014The Loewner differential equation, a classical tool th...
Abstract. D. Marshall and S. Rohde have recently shown that there exists C 0 > 0 so that the Loew...
A quasislit is the image of a vertical line segment \([0, iy]\), \(y > 0\), under a quasiconforma...
Through the Loewner equation, real-valued driving functions generate sets called Loewner hulls. We a...
This thesis studies the curve generation problem of the general Loewner equation. We use a local tra...
The aim of this survey paper is to present a complete direct proof of a well celebrated cornerstone ...
Abstract. The Loewner equation encrypts a growing simple curve in the plane into a real-valued drivi...
AbstractWe obtain a first order differential equation for the driving function of the chordal Loewne...
In this paper we introduce a general version of the notion of Loewner chains which comes from the ne...
In this paper, we show that the chordal Loewner differential equation with Cβ driving function gener...
In 1972, Becker (J Reine Angew Math 255:23–43, 1972), discovered a construction of quasiconformal ex...
We prove that given a Herglotz vector field on the unit ball of C^n of the form H(z,t)=(a_1 z_1,dot...
Thesis (Ph.D.)--University of Washington, 2014The Loewner differential equation, a classical tool th...
Abstract. D. Marshall and S. Rohde have recently shown that there exists C 0 > 0 so that the Loew...
A quasislit is the image of a vertical line segment \([0, iy]\), \(y > 0\), under a quasiconforma...
Through the Loewner equation, real-valued driving functions generate sets called Loewner hulls. We a...
This thesis studies the curve generation problem of the general Loewner equation. We use a local tra...