Research

From the outcome of rolling a die to predicting tomorrow’s weather, randomness is omnipresent. It plays a role in both natural phenomena studied in physics, chemistry, and biology, as well as in various human activities such as industry, economics, and sociology. This randomness arises from the high dynamic and informational complexity of underlying systems, requiring the study of not only deterministic laws but also the broader framework of stochastic laws. These stochastic approaches allow for the representation of uncertainties in the knowledge of all actors and parameters involved in the studied phenomena.

As a result, the modeling and analysis of random phenomena involve multiple mathematical disciplines, including probability, statistics, combinatorics, dynamical systems, and numerical methods. These areas are the expertise of the faculty at CIMFAV and the Institute of Mathematical Engineering. More specifically, our research lines focus on:

Given the wide range of applications of methods and tools for studying random phenomena, CIMFAV develops applications primarily in fields as diverse as: