70 citations · 433 across the 44 of their papers we have counts for
6 papers · 1 filter
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…
Data assimilation in price formation
Martin Burger, Jan-Frederik Pietschmann, Marie-Therese Wolfram
We consider the problem of estimating the density of buyers and vendors in a nonlinear parabolic price formation model using measurements of the price and the transaction rate. Our…
Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons
José A. Carrillo, Katharina Hopf, Marie-Therese Wolfram
Kaniadakis and Quarati (1994) proposed a Fokker--Planck equation with quadratic drift as a PDE model for the dynamics of bosons in the spatially homogeneous setting. It is an open…