Modeling crowd dynamics by the mean-field limit approach

Social force model for pedestrian dynamics

Dirk Helbing, Péter Molnár · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1995 · 6.8K citations · Full text

Social Sciences, Physics, Collective Behavior +13

Non-Cooperative Games

John F. Nash · Annals of Mathematics · 1951 · 6.6K citations

Simulating dynamical features of escape panic

Dirk Helbing, Illés J. Farkas, Tamás Vicsek · Nature · 2000 · 4.9K citations · Full text

Natural Sciences, Behavioral Sciences, Dynamical Systems +11

Mean field games

Jean‐Michel Lasry, Pierre-Louis Lions · Japanese journal of mathematics · 2007 · 2.6K citations

A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

Jean‐David Benamou, Yann Brenier · Numerische Mathematik · 2000 · 1.6K citations

Engineering, Mathematics, Physics +11