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cond-mat.stat-mech2003★ 71 cited
The Loewner equation: maps and shapes
Ilya A. Gruzberg, Leo P. Kadanoff
In the last few years, new insights have permitted unexpected progress in the study of fractal shapes in two dimensions. A new approach, called Schramm-Loewner evolution, or SLE, h…
math-ph2003★ 55 cited
Exact Solutions for Loewner Evolutions
Wouter Kager, Bernard Nienhuis, Leo P. Kadanoff
In this note, we solve the Loewner equation in the upper half-plane with forcing function xi(t), for the cases in which xi(t) has a power-law dependence on time with powers 0, 1/2…