General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …

It is well-recognized that granular media under rapid flow conditions can be modeled as a
gas of hard spheres with inelastic collisions. At moderate densities, a fundamental basis for …

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 …

The distribution of wealth and income is never uniform, and philosophers and economists
have tried for years to understand the reasons and formulate remedies for such inequalities …

The kinetic theory of gases as we know it dates to the paper of Boltzmann in 1872. The
justification and context of this equation has been clarified over the past half century to the …

Using the analogy with inelastic granular gases we introduce a model for wealth exchange
in society. The dynamics is governed by a kinetic equation, which allows for self-similar …

We analyze the large-time behavior of various kinetic models for the redistribution of wealth
in simple market economies introduced in the pertinent literature in recent years. As specific …

The present notes are intended to present a detailed review of the existing results in
dissipative kinetic theory which make use of the contraction properties of two main families …

This paper deals with solutions of the nonlinear Boltzmann equation for spatially uniform
freely cooling inelastic Maxwell models for large times and for large velocities, and the …