99 citations · 306 across the 15 of their papers we have counts for
15 papers
Mean-field theory of an asset exchange model with economic growth and wealth distribution
W. Klein, N. Lubbers, Kang K. L. Liu +2
We develop a mean-field theory of the growth, exchange and distribution (GED) model introduced by Kang et al. (preceding paper) that accurately describes the phase transition in th…
Simulation of a generalized asset exchange model with economic growth and wealth distribution
Kang K. L. Liu, N. Lubbers, W. Klein +3
The agent-based Yard-Sale model of wealth inequality is generalized to incorporate exponential economic growth and its distribution. The distribution of economic growth is nonunifo…
Predicting nucleation near the spinodal in the Ising model using machine learning
Shan Huang, William Klein, Harvey Gould
We use a Convolutional Neural Network (CNN) and two logistic regression models to predict the probability of nucleation in the two-dimensional Ising model. The three models success…
Kinetic Pathways of the DNA Melting Transition
Aaron Santos, William Klein
We investigate kinetic pathways of the DNA melting transition using variable-range versions of the Poland-Scheraga (PS) and Peyrard-Dauxois-Bishop (PDB) models of DNA. In the PS mo…
Ergodicity breaking in geometric Brownian motion
Ole Peters, William Klein
Geometric Brownian motion (GBM) is a model for systems as varied as financial instruments and populations. The statistical properties of GBM are complicated by non-ergodicity, whic…
Gutenberg-Richter Scaling - A New Paradigm
C. A. Serino, K. F. Tiampo, W. Klein
We introduce a new model for an earthquake fault system that is composed of non-interacting simple lattice models with different levels of damage denoted by . The undamaged latt…