168 citations · 224 across the 5 of their papers we have counts for
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math-ph2003★ 1 cited
Osculating Random Walks on Cylinders
Saibal Mitra, Bernard Nienhuis
We consider random paths on a square lattice which take a left or a right turn at every vertex. The possible turns are taken with equal probability, except at a vertex which has be…
math-ph2003★ 168 cited
A Guide to Stochastic Loewner Evolution and its Applications
Wouter Kager, Bernard Nienhuis
This article is meant to serve as a guide to recent developments in the study of the scaling limit of critical models. These new developments were made possible through the definit…
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…