This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …

The goal of this review paper is to provide the reader with a concise introduction to the
mathematical theory of collision processes in (dilute) gases and plasmas, viewed as a …

This is the first comprehensive introduction to the theory of mass transportation with its many—
and sometimes unexpected—applications. In a novel approach to the subject, the book both …

At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and
John Mather launched a revolution in the venerable field of optimal transport founded by G …

This introductory text develops the fundamental physics of the behavior of granular
materials. It covers the basic properties of flow, friction, and fluidization of uniform granular …

In this paper, we analyze the asymptotic behavior of solutions of the continuous kinetic
version of flocking by Cucker and Smale [IEEE Trans. Automat. Control, 52 (2007), pp. 852 …

We review the state-of-the-art in the modelling of the aggregation and collective behavior of
interacting agents of similar size and body type, typically called swarming. Starting with …

We introduce and discuss certain kinetic models of (continuous) opinion formation involving
both exchange of opinion between individual agents and diffusion of information. We show …

Granular materials, like sand, powder or grains present intriguing phenomena. Vibration and
shearing can lead to convective motion and segregation. A variation of stress may cause …

In this paper, we consider a simple kinetic model of economy involving both exchanges
between agents and speculative trading. We show that the kinetic model admits non trivial …