Our Work

From the outcome of a die roll to tomorrow's weather forecast, randomness is omnipresent: it plays a role in both natural phenomena studied in physics, chemistry, and biology, as well as in various fields of human activity (industry, economics, sociology, etc.). This random nature arises from the high dynamic and informational complexity of the underlying systems and requires the consideration of not only deterministic laws but also the broader set of stochastic laws for its investigation. The latter allow for the representation of uncertainties in the knowledge of all actors and parameters involved in the studied phenomenon. Consequently, the modeling and analysis of random phenomena involve multiple mathematical disciplines, such as probability, statistics, combinatorics, dynamical systems, and numerical methods. These areas are the field of expertise of the CIMFAV faculty. More precisely, our group's research lines include:

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

The CIMFAV research group maintains ties with national and international institutions through scientific collaborations and joint projects. Nationally, the main universities we work with are: UTFSM, PUCV, UCHILE, PUC, and UDEC. Internationally, we collaborate with scientists from Brazil, Uruguay, Argentina, Venezuela, Colombia, Mexico, Cuba, the USA, France, Spain, Germany, the Czech Republic, among others.

See: