Complex systems are very often organized under the form of networks where nodes and
edges are embedded in space. Transportation and mobility networks, Internet, mobile phone …

Fish travel in schools, birds migrate in flocks, honeybees swarm, and ants build trails. How
and why do these collective behaviors occur? Exploring how coordinated group patterns …

Watts and Strogatz, with the publication in 1998 of their seminal paper on small-world
networks, opened the golden era of complex networks studies and showed in particular how …

Critical states are sometimes identified experimentally through power-law statistics or
universal scaling functions. We show here that such features naturally emerge from …

Seemingly unrelated empirical hydrologic laws and several experimental facts related to the
fractal geometry of the river basin are shown to find a natural explanation into a simple finite …

A general discrete stochastic process involving random amplification with additive external
noise is analyzed theoretically and numerically. Necessary and sufficient conditions to …

Moving from the exact result that drainage network configurations minimizing total energy
dissipation are stationary solutions of the general equation describing landscape evolution …

The presence or absence of loops in the emergent transportation networks, that are
characterized by a minimum overall cost, is shown to depend on the convexity of the cost …

An elementary model of animal aggregation is presented. The group-size distributions
resulting from this model are truncated power laws. The predictions of the model are found …

Scaling laws that describe the structure of river networks are shown to follow from three
simple assumptions. These assumptions are (1) river networks are structurally self …