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Complex Variables and Elliptic Equations
An International Journal
Volume 60, 2015 - Issue 1
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Articles

On driving functions generating quasislits in the chordal Loewner–Kufarev equation

Sebastian SchleißingerUniversity of Wuerzburg, Wuerzburg, Germany.Correspondence[email protected]
Pages 134-144 | Received 25 Sep 2013, Accepted 09 Mar 2014, Published online: 10 Apr 2014

References

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  • Lawler GF. Conformally invariant processes in the plane. Vol. 114, Mathematical surveys and monographs. Providence (RI): American Mathematical Society; 2005.
  • Marshall DE, Rohde S. The Loewner differential equation and slit mappings. J. Amer. Math. Soc. 2005;18:763–778.
  • Lind JR. A sharp condition for the Loewner equation to generate slits. Ann. Acad. Sci. Fenn. Math. 2005;30:143–158.
  • Lind J, Marshall DE, Rohde S. Collisions and spirals of Loewner traces. Duke Math. J. 2010;154:527–573.
  • Lehto O, Virtanen KI. Quasiconformal mappings in the plane. 2nd ed. New York (NY): Springer-Verlag; 1973.
  • Rickman S. Characterization of quasiconformal arcs. Ann. Acad. Sci. Fenn. Ser. A I. 1966;395:30.
  • Lind J, Rohde S. Spacefilling curves and phases of the Loewner equation. Indiana U. Math. J. 2012;61:2231–2249.

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