We investigate a model of interacting clusters which compete for growth. For a finite assembly of coupled clusters, the largest one always wins, so that all but this one die out in a finite time. This scenario of ‘survival of the biggest’ still holds in the mean-field limit, where the model...

In our model, $n$ traders interact with each other and with a central bank; they are taxed on the money they make, some of which is dissipated away by corruption. A generic feature of our model is that the richest trader always wins by 'consuming' all the others: another is the existence of a...

An econometric model of coffee price dynamics is specified and estimated to capture the evolution of coffee prices at the farm, wholesale and retail levels. It investigates the historical influence of the International Coffee Agreement (ICA) through its effects on yield and planting decisions....

We investigate the full phase diagram of a column of grains near jamming, as a function of varying levels of frustration. Frustration is modelled by the effect of two opposing fields on a grain, due respectively to grains above and below it. The resulting four dynamical regimes (ballistic,...

We investigate a stochastic model describing a column of grains in the jamming limit, in the presence of a low vibrational intensity. The key control parameter of the model, <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\epsilon$</EquationSource> </InlineEquation>, is a representation of granular shape, related to the reduced void space. Regularity and irregularity in...</equationsource></inlineequation>

We propose a set of coupled stochastic equations to model atomistic growth on surfaces. We carry out electronic structure calculations on a specific example to justify some of underlying assumptions of the model.