## The scientific project:

MODELING, SIMULATION, PREDICTION, CONTROL

The key distinctive and original feature of this project is a
strong focus on the mathematics of complex networks. In all the
problems that we consider, networks either appear as the primary
research objects or as natural and useful modeling tools.
Networks can be used to model infrastructural systems, social
and economic relationships, protein interaction schemes,
underground fracture architectures, or chemical reaction
systems. In the mathematics of complex networks, deterministic
and random formalism often coexist and typically pose
significant big data statistical problems in their tuning and
reliable use. The presence of time and space multi-scales, as
well as the simultaneous presence of heterogeneous geometrical
objects, are other features of these models. Their investigation
calls for a sophisticated combination of different mathematical
tools. The analysis of models composed of a hierarchical
architecture of sub-models and sub-structures is one of the
scientific aims of this project.

The following are the main research topics of the project: