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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…