3 citations · 5 across the 5 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
Parameter estimation for macroscopic pedestrian dynamics models from microscopic data
Susana N. Gomes, Andrew M. Stuart, Marie-Therese Wolfram
In this paper we develop a framework for parameter estimation in macroscopic pedestrian models using individual trajectories -- microscopic data. We consider a unidirectional flow…
Mean field models for segregation dynamics
Martin Burger, Jan-Frederik Pietschmann, Helene Ranetbauer +2
In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the…