Daniel Remenik, PhD in Applied Mathematics and academic at the University of Chile, was awarded for his contribution to extending the frontiers of mathematical knowledge.
Among great mathematicians from Princeton University, Michigan and Toronto, Daniel Remenik, PhD in Applied Mathematics and researcher at the Center for Mathematical Modeling of the University of Chile (CMM), was awarded the MCA Prize 2021, granted by the Mathematical Council of the Americas.
Weeks later, the researcher won the Rollo Davidson Prize, aimed at young probabilists, awarded by the University of Cambridge. Remenik was the first mathematician outside Europe and the United States to receive this award.
But what has Daniel Remenik contributed to mathematics? Among other things, the researcher at the Center for Mathematical Modeling published a study that contributed to a better understanding of certain behaviors “that appear to be random, but seen from a broader perspective usually follow a pattern”. Examples of this can be observed in many places: the growth of a colony of bacteria, the waiting time for a bus, among others.
According to Remenik, his research work focuses on the field of the ‘KPZ Universality Class’, developed by physicists Mehran Kardar, Giorgio Parisi and Yi-Cheng Zhang. Universality’ in mathematics and physics refers to the fact that there are families of phenomena or systems that, although they may be diverse, their behavior at the macroscopic level is the same. The most typical example of this is the ‘Central Limit Theorem’, which states that some very large sets of data, such as heights of a population, scores on a test, among others, show a distribution pattern that graphically resembles the famous ‘Gaussian Bell’.
“With the KPZ Universality Class something similar happens, but for a different family of phenomena and with some additional factors that lead to a slightly different behavior,” adds Remenik. An example of a model applicable to this line of research is the advancing combustion front when burning paper. The advance of the fire presents a random behavior, but it can be studied in detail and certain predictable behaviors can be found, taking into account a large number of analyzed cases.
This type of process is of great interest to scientists, because it is possible to link relationships with several natural phenomena, such as the proliferation of bacteria or the spectrum of heavy atoms, explained the CMM researcher.
Daniel Remenik participated in a scientific article that extended the frontiers of knowledge in this branch of mathematics. His contribution helped to generate a structure analogous to the ‘Gaussian Bell’, but applied to this kind of models. “This opens up many possibilities for the future, and some unexpected consequences have already emerged that, in particular, explain some of these mathematical connections,” the researcher concluded.
Credit: Fundación Encuentros del Futuro, for the Center for Mathematical Modeling (CMM)