70 citations · 433 across the 44 of their papers we have counts for
52 papers
Multi-Dimensional Opinion Formation
Hanna Bartel, Martin Burger, Marie-Therese Wolfram
In this paper we propose and investigate a multi-dimensional opinion dynamics model where people are characterised by both opinions and importance weights across these opinions. Op…
What is the optimal way to lie? From microscopic to kinetic descriptions of consensus control
Sasha Glendinning, Susana N. Gomes, Marie-Therese Wolfram
We establish an approach for consensus control of opinion dynamics by introducing a liar to the classical system. The liar's aim is to steer the population towards consensus at the…
Decision making in heterogeneous self-propelled particle systems
Gissell Estrada-Rodriguez, Victor Villegas-Morral, Marie-Therese Wolfram
In this paper, we investigate the role of uninformed individuals in consensus formation within opinion-swarming models for self-propelled particles. The proposed models are inspire…
Opinion Dynamics with Continuous Age Structure
Andrew Nugent, Susana N. Gomes, Marie-Therese Wolfram
We extend a classical model of continuous opinion formation to explicitly include an age-structured population. We begin by considering a stochastic differential equation model whi…
Modelling Global Trade with Optimal Transport
Thomas Gaskin, Guven Demirel, Marie-Therese Wolfram +1
Global trade is shaped by a complex mix of factors beyond supply and demand, including tangible variables like transport costs and tariffs, as well as less quantifiable influences…
Steering opinion dynamics through control of social networks
Andrew Nugent, Susana N. Gomes, Marie-Therese Wolfram
In this paper we propose a novel control approach for opinion dynamics on evolving networks. The controls modify the strength of connections in the network, rather than influencing…
Breaking Consensus in Kinetic Opinion Formation Models on Graphons
Bertram Düring, Jonathan Franceschi, Marie-Therese Wolfram +1
In this work we propose and investigate a strategy to prevent consensus in kinetic models for opinion formation. We consider a large interacting agent system, and assume that agent…
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…
Canards in a bottleneck
Annalisa Iuorio, Gaspard Jankowiak, Peter Szmolyan +1
In this paper we investigate the stationary profiles of a nonlinear Fokker-Planck equation with small diffusion and nonlinear in- and outflow boundary conditions. We consider corri…
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities
Martin Burger, Laura Kanzler, Marie-Therese Wolfram
In this paper we investigate a generalisation of a Boltzmann mean field game (BMFG) for knowledge growth, originally introduced by the economists Lucas and Moll. In BMFG the evolut…
Steady states of an Elo-type rating model for players of varying strength
Bertram Düring, Josephine Evans, Marie-Therese Wolfram
In this paper we study the long-time behaviour of a kinetic formulation of an Elo-type rating model for a large number of interacting players with variable strength. The model resu…
An Elo-type rating model for players and teams of variable strength
Düring Bertram, Fischer Michael, Wolfram Marie-Therese
The Elo rating system, which was originally proposed by Arpad Elo for chess, has become one of the most important rating systems in sports, economics and gaming nowadays. Its origi…
Active Crowds
Maria Bruna, Martin Burger, Jan-Frederik Pietschmann +1
This chapter focuses on the mathematical modelling of active particles (or agents) in crowded environments. We discuss several microscopic models found in literature and the deriva…
Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods
Oliver R. A. Dunbar, Andrew B. Duncan, Andrew M. Stuart +1
The increasing availability of data presents an opportunity to calibrate unknown parameters which appear in complex models of phenomena in the biomedical, physical and social scien…
A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour
Annalisa Iuorio, Gaspard Jankowiak, Peter Szmolyan +1
In this paper, we investigate the stationary profiles of a convection-diffusion model for unidirectional pedestrian flows in domains with a single entrance and exit. The inflow and…
On anisotropic diffusion equations for label propagation
Lisa Maria Kreusser, Marie-Therese Wolfram
In many problems in data classification one wishes to assign labels to points in a point cloud with a certain number of them being already correctly labeled. In this paper, we prop…
Consensus-Based Global Optimization with Personal Best
Claudia Totzeck, Marie-Therese Wolfram
In this paper we propose a variant of a consensus-based global optimization (CBO) method that uses personal best information in order to compute the global minimum of a non-convex,…
Lagrangian schemes for Wasserstein gradient flows
Jose A. Carrillo, Daniel Matthes, Marie-Therese Wolfram
This paper reviews different numerical methods for specific examples of Wasserstein gradient flows: we focus on nonlinear Fokker-Planck equations,but also discuss discretizations o…
Comparing the best reply strategy and mean field games: the stationary case
Matt Barker, Pierre Degond, Marie-Therese Wolfram
Mean field games (MFGs) and the best reply strategy (BRS) are two methods of describing competitive optimisation of systems of interacting agents. The latter can be interpreted as…
Micro- and Macroscopic Modeling of Crowding and Pushing in Corridors
Michael Fischer, Gaspard Jankowiak, Marie-Therese Wolfram
Experiments with pedestrians revealed that the geometry of the domain, as well as the incentive of pedestrians to reach a target as fast as possible have a strong influence on the…
Trend to Equilibrium for Systems with Small Cross-Diffusion
Luca Alasio, Helene Ranetbauer, Markus Schmidtchen +1
This paper presents new analytical results for a class of nonlinear parabolic systems of partial different equations with small cross-diffusion which describe the macroscopic dynam…
Inverse optimal transport
Andrew M. Stuart, Marie-Therese Wolfram
Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only par…