399 citations · 1.1k across the 26 of their papers we have counts for
6 papers · 1 filter
Wealth exchange under ceiling and flooring constraints: a modified Bennati-Dragulescu-Yakovenko model
Fei Cao, Sebastien Motsch, Wendy Garcia Umbarita
We investigate the classical Bennati-Dragulescu-Yakovenko (BDY) dollar exchange model introduced in \cite{dragulescu_statistical_2000} where the effects of wealth ceiling and wealt…
Generative diffusion models from a PDE perspective
Fei Cao, Kimball Johnston, Thomas Laurent +2
Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of th…
Sticky dispersion on the complete graph: a kinetic approach
Fei Cao, Sebastien Motsch
We study a variant of the dispersion process on the complete graph introduced in the recent work [17] under the mean-field framework. We adopt a kinetic perspective (as opposed to…
Uncovering a two-phase dynamics from a dollar exchange model with bank and debt
Fei Cao, Sébastien Motsch
We investigate the unbiased model for money exchanges with collective debt limit: agents give at random time a dollar to one another as long as they have at least one dollar or the…
Derivation of wealth distributions from biased exchange of money
Fei Cao, Sebastien Motsch
In the manuscript, we are interested in using kinetic theory to better understand the time evolution of wealth distribution and their large scale behavior such as the evolution of…
Entropy dissipation and propagation of chaos for the uniform reshuffling model
Fei Cao, Pierre-Emmanuel Jabin, Sebastien Motsch
We investigate the uniform reshuffling model for money exchanges: two agents picked uniformly at random redistribute their dollars between them. This stochastic dynamics is of mean…