This paper proposes a systems approach to the theory of perception and learning in
populations composed of many living entities. Starting from a phenomenological description …

This paper deals with the modeling of the collective learning dynamics of two systems of a
heterogeneously distributed population. The first one evolves autonomously towards higher …

In this chapter, a mathematical structure is derived to provide a general framework toward
the modeling of space-homogeneous living systems, according to the kinetic theory for …

This paper is motivated by the perspective ideas proposed in our previous studies, where
some challenging problems, for instance qualitative analysis of the solution to nonlinear …

By and large, the interpretation of learning as a computational process taking place in both
humans and machines is primarily provided in the framework of statistics. In this paper, we …

This review paper is devoted to study the conceptual difficulties that mathematics meets
when attempting to describe the complexity of living matter focusing on the challenging …

The modeling of living systems composed of many interacting entities is treated in this paper
with the aim of describing their collective behaviors. The mathematical approach is …

Using tools from mathematical kinetic theory and stochastic game theory, this work deals
with the modeling of large complex systems in the applied sciences, particularly those …

This work deals with the modeling of large systems of interacting entities in the framework of
the mathematical kinetic theory for active particles. The contents are specifically focused on …

This paper is a review and critical analysis of the mathematical kinetic theory of active
particles applied to the modelling of large living systems made up of interacting entities. The …