Dirk Helbing

Growth, innovation, scaling, and the pace of life in cities

Humanity has just crossed a major landmark in its history with the majority of people now living in cities. Cities have long been known to be society's predominant engine of inn...

A mathematical model for the behavior of pedestrians

The movement of pedestrians is supposed to show certain regularities which can be best described by an “algorithm” for individual behavior and is easily simulated on computers. ...

Improved fluid-dynamic model for vehicular traffic

The fluid-dynamic traffic model of Kerner and Konh\"auser [Phys. Rev. E 48, 2335 (1993); 50, 54 (1994)] is extended by an equation for the vehicles' velocity variance. It is abl...

Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of behavioral models

Science of science

The whys and wherefores of SciSci The science of science (SciSci) is based on a transdisciplinary approach that uses large data sets to study the mechanisms underlying the doing...

Social force model for pedestrian dynamics

It is suggested that the motion of pedestrians can be described as if they\nwould be subject to `social forces'. These `forces' are not directly exerted by\nthe pedestrians' per...