Online users tend to select claims that adhere to their system of beliefs and to ignore
dissenting information. Confirmation bias, indeed, plays a pivotal role in viral phenomena …

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

A Mpemba effect refers to the counterintuitive result that, when quenched to a low
temperature, a system at higher temperature may equilibrate faster than one at intermediate …

We study an opinion dynamics model in which agents reach compromise via pairwise
interactions. When the opinions of two agents are sufficiently close, they both acquire the …

Granular materials are ubiquitous in nature and are also employed in many industrial
settings such as those involving chemical processes, pharmaceutical products, mining, and …

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 derive a model describing spatiotemporal organization of an array of microtubules
interacting via molecular motors. Starting from a stochastic model of inelastic polar rods with …

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 …

MATHEMATICS OF GRANULAR MATERIALS Contents Introduction 1 1. Modelling 2 2.
Maxwellian toolbox 11 3. Gradient flow structure 19 Page 1 MATHEMATICS OF GRANULAR …

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 …