3 papers
eess.SY2020
Bounded confidence dynamics and graph control: enforcing consensus
Dylan Weber, Sebastien Motsch, GuanLin Li
A generic feature of bounded confidence type models is the formation of clusters of agents. We propose and study a variant of bounded confidence dynamics with the goal of inducing…
nlin.AO2020
The food seeking behavior of slime mold: a macroscopic approach
Simone Göttlich, Stephen Knapp, Dylan Weber
Starting from a particle model we derive a macroscopic aggregation-diffusion equation for the evolution of slime mold under the assumption of propagation of chaos in the large part…
math.DS2019
Stochastic versus deterministic consensus dynamics on graphs
Dylan Weber, Ryan Theisen, Sebastien Motsch
We study two agent based models of opinion formation - one stochastic in nature and one deterministic. Both models are defined in terms of an underlying graph; we study how the str…