33 citations · 122 across the 11 of their papers we have counts for
13 papers
Couplings and attractiveness for general exclusion processes
Thierry Gobron, Ellen Saada
Attractiveness is a fundamental tool to study interacting particle systems and the basic coupling construction is a usual route to prove this property, as for instance in the simpl…
Lax Connection and Conserved Quantities of Quadratic Mean Field Games
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
Mean Field Game is a rather new field initially developed in applied mathematics and engineering in order to deal with the dynamics of a large number of controlled agents or object…
Schrödinger approach to Mean Field Games with negative coordination
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled agents in interaction. Here we consider such systems when the interactions bet…
Universal behavior in non stationary Mean Field Games
Thibault Bonnemain, Thierry Gobron, Denis Ullmo
Mean Field Games provide a powerful framework to analyze the dynamics of a large number of controlled objects in interaction. Though these models are much simpler than the underlyi…
Quadratic Mean Field Games
Denis Ullmo, Igor Swiecicki, Thierry Gobron
Mean field games were introduced independently by J-M. Lasry and P-L. Lions, and by M. Huang, R.P. Malhamé and P. E. Caines, in order to bring a new approach to optimization proble…
An [imaginary time] Schrödinger approach to mean field games
Igor Swiecicki, Thierry Gobron, Denis Ullmo
Mean Field Games (MFG) provide a theoretical frame to model socio-economic systems. In this letter, we study a particular class of MFG which shows strong analogies with the {\em no…