75 citations · 453 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics
José A. Carrillo, Bertram Düring, Lisa Maria Kreusser +1
In this paper, we study the equilibria of an anisotropic, nonlocal aggregation equation with nonlinear diffusion which does not possess a gradient flow structure. Here, the anisotr…
Pattern formation of a nonlocal, anisotropic interaction model
Martin Burger, Bertram Düring, Lisa Maria Kreusser +2
We consider a class of interacting particle models with anisotropic, repulsive-attractive interaction forces whose orientations depend on an underlying tensor field. An example of…
A kinetic equation for economic value estimation with irrationality and herding
Bertram Düring, Ansgar Jüngel, Lara Trussardi
A kinetic inhomogeneous Boltzmann-type equation is proposed to model the dynamics of the number of agents in a large market depending on the estimated value of an asset and the rat…
Asymptotic speed of propagation for a viscous semilinear parabolic equation
A. Cesaroni, N. Dirr, M. Novaga
We characterize the asymptotic speed of propagation of almost planar solutions to a semilinear viscous parabolic equation, with periodic nonlinearity.