44 citations · 48 across the 4 of their papers we have counts for
4 papers
A Dynamical Equation for the Lorenz Curve: Dynamics of incomplete moments of probability distributions arising from Fokker-Planck equations
David W. Cohen, Merek Johnson, Bruce M. Boghosian
Fokker-Planck equations (forward Kolmogorov equations) evolve probability densities in time from an initial condition. For distributions over the real line, these evolution equatio…
First passage duality in
Merek Johnson
In one and two dimensions, the first-passage time for a diffusing particle in the presence of a radial potential flow to hit a sphere, conditioned on actually hitting the sphere, i…
Oligarchy as a Phase Transition: The effect of wealth-attained advantage in a Fokker-Planck description of asset exchange
Bruce M. Boghosian, Adrian Devitt-Lee, Merek Johnson +2
In earlier work, we derived a nonlinear, nonlocal Fokker-Planck equation for the Yard-Sale Model of asset exchange. In the absence of redistribution, we showed that the Gini coeffi…
An theorem for Boltzmann's equation for the Yard-Sale Model of asset exchange
Bruce M. Boghosian, Merek Johnson, Jeremy Marcq
In recent work, Boltzmann and Fokker-Planck equations were derived for the "Yard-Sale Model" of asset exchange. For the version of the model without redistribution, it was conjectu…