Daniel Remenik, CMM researcher received the MCA Prize 2021 for his contribution to the development of mathematics

Daniel Remenik, CMM researcher received the MCA Prize 2021 for his contribution to the development of mathematics

Daniel Remenik, PhD in Applied Mathematics and principal investigator of the Center for Mathematical Modeling (CMM), received the MCA Prize 2021, awarded by the Mathematical Council of the Americas.

The MCA Prize will be awarded to Daniel Remenik during the Mathematical Congress of the Americas, to be held in Buenos Aires between 19 and 24 July this year, online. There, the CMM researcher will give a talk to the mathematical community to share his discoveries and proposals for the future.

But what has Daniel Remenik contributed to mathematics? Among other things, the researcher from 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 of a bus, among others.

According to Remenik, his work focuses on 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 different, their behavior at the macroscopic level is the same. The most typical example of this is the “Central Limit Theorem”. This concept states that “if one looks at the histograms associated with very large sets of data, such as heights of a population, scores on a test, among others, they resemble the famous ‘Gaussian Bell’, which in mathematics is known as ‘normal distribution’,” explains Remenik.

“With the KPZ Universality Class something similar happens, but for a different family of phenomena and with some additional factors that come into play from the study and lead to slightly different behavior,” Remenik adds. An example of a model applicable to this line of research is the combustion front advancing when burning paper. The advancing fire has a random behavior, but it can be studied in detail and certain predictable behaviors can be found.

These processes are of great interest to physicists because their description shows relationships with several other phenomena, for example the spectrum of heavy atoms. But in mathematics they have also been the focus of much interest, “because surprisingly there end up being deep relationships with other areas of mathematics,” says the CMM researcher.

Daniel Remenik wrote an article that extended the frontiers of knowledge to further deepen this branch of mathematics. His contribution helped to generate a structure analogous to the ‘Gaussian Bell’, but applied to this kind of models. “As this is the central object of the area, this opens up many possibilities for the future, and some unexpected consequences have already emerged that in particular explain some of these mathematical connections”, concludes the researcher.

This award will be presented on-line to Remenik, due to the pandemic. This prize is awarded every four years to those who have not more than 12 years past their doctoral degree and have made a substantial contribution to the development of mathematics and its applications.

 

Posted on Mar 5, 2021 in Frontpage, News