We develop a collision-avoiding mechanism for a system of individual agents (pedestrians) that move in a crowd trying to reach their different goal points. The agents avoid collisions on the basis of a model of the other agents' behavior, a "theory of mind," which is realized at different levels...

Recently, the emergent dynamics in multiplex networks, composed of layers of multiple networks, has been discussed extensively in network sciences. However, little is still known about whether and how the evolution of strategy for selecting a layer to participate in can contribute to the...

Recently, the emergent dynamics in multiplex networks, composed of layers of multiple networks, has been discussed extensively in network sciences. However, little is still known about whether and how the evolution of strategy for selecting a layer to participate in can contribute to the...

Many complex systems can be represented as complex networks. Among them there has been much interest on community structure recently, and many studies focus attention on it, in particular community detection. While community detection can provide us much information, the community structure...

A new algorithm for the simulation of fractional Brownian motion is suggested. This algorithm has been tested and compared with previous ones. Clear improvements in the statistical and scaling properties of the process, built with our algorithm, are shown. Large improvements have been achieved...

In this preface we propose a synthetic survey of the main ideas which are in our aim at the origin of the "Physics and the City" Symposium (Bologna–Italy, 15–17 December 2005). These ideas are developed from different point of view in the following collected papers, also with different...

In this paper we present the physics of the city, a new approach in order to investigate the urban dynamics. In particular we focus on the citizens’ mobility observation and modeling. Being in principle the social dynamics not directly observable, our main idea is that observing the human...

We consider the problem of modeling urban mobility using the complex systems key of lecture. We discuss the properties of the Auto-mobilis model, a virtual simulator for private car mobility based on the individual citizen propensities and the existence of "chronotopoi", which are the primary...

The dynamic evolution of a gas of N hard spheres determines the equation of state once the equilibrium is reached, after a short transient. The system is investigated in the thermodynamic limit. The algorithms based on a tricky management of the collisions list allow to simulate up to N=106...