1 citations · 1 across the 8 of their papers we have counts for
10 papers
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…
The fractal geometry of opinion formation
Fei Cao, Roberto Cortez
In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [9], within the framework of an interacting multi-agent system, w…
The Bennati-Dragulescu-Yakovenko model in the continuous setting: PDE derivation and long-time behavior
Fei Cao, Nadia Loy
In this manuscript, we develop and analyze a continuous version of the well-known Bennati-Dragulescu-Yakovenko (BDY) dollar-exchange discrete model. Starting from the conservative…
Mean-field analysis of a random asset exchange model with probabilistic cheaters
Fei Cao
We investigate a variant of the standard Bennati-Dragulescu-Yakovenko (BDY) game \cite{dragulescu_statistical_2000} inspired by the very recent work \cite{blom_hallmarks_2024}, whe…
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…
From Gini index as a Lyapunov functional to convergence in Wasserstein distance
Fei Cao
In several recent works on infinite-dimensional systems of ODEs \cite{cao_derivation_2021,cao_explicit_2021,cao_iterative_2024,cao_sticky_2024}, which arise from the mean-field lim…
Fractal opinions among interacting agents
Fei Cao, Roberto Cortez
We investigate an opinion model consisting of a large group of interacting agents, whose opinions are represented as numbers in . At each update time, two random agents are…
Quantitative convergence guarantees for the mean-field dispersion process
Fei Cao, Jincheng Yang
We study the discrete Fokker-Planck equation associated with the mean-field dynamics of a particle system called the dispersion process. For different regimes of the average number…
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…
On the equivalence between Fourier-based and Wasserstein distances for probability measures on
Fei Cao, Xiaoqian Gong
In this manuscript we investigate the equivalence of Fourier-based metrics on discrete state spaces with the well-known Wasserstein distances. While the use of Fourier-based metric…