Governing Globalisation through Law

A universal power law governing pedestrian interactions

Human crowds often bear a striking resemblance to interacting particle systems, and this has prompted many researchers to describe pedestrian dynamics in terms of interaction forces and potential energies. The correct quantitative form of this interaction, however, has remained an open question. Here, we introduce a novel statistical-mechanical approach to directly measure the interaction energ...

Universal power law governing pedestrian interactions.

Human crowds often bear a striking resemblance to interacting particle systems, and this has prompted many researchers to describe pedestrian dynamics in terms of interaction forces and potential energies. The correct quantitative form of this interaction, however, has remained an open question. Here, we introduce a novel statistical-mechanical approach to directly measure the interaction energ...

Beyond law enforcement – governing financial markets in Chinaand Russia

Supplemental material for: Universal Power Law Governing Pedestrian Interactions

Our findings draw from datasets published by three different research groups. These datasets are illustrated in Fig. S1 and summarized in Table S1. The experiments labeled b250 combined and b4 combined are described in Refs. 1 and 2, and are combined to comprise the Bottleneck dataset. These experimental trials were recorded at 25 fps using multiple cameras, with trajectories automatically trac...

Scaling law governing the roughness of the swash edge line

The paper is devoted to the analysis of the shape of the swash edge line. Formation of the swash boundary is treated as an interfacial phenomenon. The simplest quantitative characteristic of the roughness of interface is its width w, defined as the root-mean-square fluctuation around the average position. For rough interfaces, the scaling with size of the system L is observed in the form w(L)∝ ...