55 citations · 598 across the 84 of their papers we have counts for
4 papers · 2 filters
On the asymptotic behavior of a Boltzmann-type price formation model
Martin Burger, Luis Caffarelli, Peter A. Markowich +1
In this paper we study the asymptotic behavior of a Boltzmann type price formation model, which describes the trading dynamics in a financial market. In many of these markets tradi…
Stationary States and Asymptotic Behaviour of Aggregation Models with Nonlinear Local Repulsion
Martin Burger, Razvan Fetecau, Yanghong Huang
We consider a continuum aggregation model with nonlinear local repulsion given by a degenerate power-law diffusion with general exponent. The steady states and their properties in…
Mean field games with nonlinear mobilities in pedestrian dynamics
Martin Burger, Marco Di Francesco, Peter Markowich +1
In this paper we present an optimal control approach modeling fast exit scenarios in pedestrian crowds. In particular we consider the case of a large human crowd trying to exit a r…
On a Boltzmann type price formation model
Martin Burger, Luis Caffarelli, Peter Markowich +1
In this paper we present a Boltzmann type price formation model, which is motivated by a parabolic free boundary model for the evolution of the prize presented by Lasry and Lions i…