58 citations · 84 across the 7 of their papers we have counts for
7 papers
Bridging the gap between agent based models and continuous opinion dynamics
Andrew Nugent, Susana N Gomes, Marie-Therese Wolfram
There is a rich literature on microscopic models for opinion dynamics; most of them fall into one of two categories - agent-based models or differential equation models - with a ge…
The mathematical theory of Hughes' model: a survey of results
Debora Amadori, Boris Andreianov, Marco Di Francesco +9
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version…
On evolving network models and their influence on opinion formation
Andrew J. Nugent, Susana N. Gomes, Marie-Therese Wolfram
In this paper, we propose a new model for continuous time opinion dynamics on an evolving network. As opposed to existing models, in which the network typically evolves by discrete…
Cross-diffusion systems with excluded volume effects and asymptotic gradient flows
Maria Bruna, Martin Burger, Helene Ranetbauer +1
In this paper we discuss the analysis of a cross-diffusion PDE system for a mixture of hard spheres, which was derived by Bruna and Chapman from a stochastic system of interacting…
A local version of the Hughes model for pedestrian flow
José A. Carrillo, Stephan Martin, Marie-Therese Wolfram
Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals seek to minimize their travel time but try to avoid regions of high density. One of the basi…
Socio-economic applications of finite state mean field games
Diogo A. Gomes, Roberto M. Velho, Marie-Therese Wolfram
In this paper we present different applications of finite state mean field games to socio-economic sciences. Examples include paradigm shifts in the scientific community or the con…