168 citations · 224 across the 5 of their papers we have counts for
8 papers
Universality Classes for Force Networks in Jammed Matter
Srdjan Ostojic, Bernard Nienhuis
We study the geometry of forces in some simple models for granular stackings. The information contained in geometry is complementary to that in the distribution of forces in a sing…
Critical exponents for the FPL^2 model
David Dei Cont, Bernard Nienhuis
Starting from the Bethe ansatz solution we derive a set of coupled non-linear integral equations for the fully packed double loop model (FPL^2) on the square lattice. As an applica…
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…
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…
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…
Exact and numerical results for the dimerized spin-orbital model
M. J. Martins, B. Nienhuis
We establish exact results for the one-dimensional spin-orbital model for special values of the four-spin interaction and dimerization parameter . The first exact result is…