Riddhipratim Basu
ICTS, Bengaluru
June 19, 2024
Universality in random structures: The phenomenon of universality, where many complex systems share the same large-scale features despite differing in microscopic details, is often observed in nature. Explaining this phenomenon in various contexts of mathematical models is one of the important topics in contemporary research in probability theory. The most well-known example of such an understanding is given by the celebrated central limit theorem which explains the ubiquity of the Gaussian distribution, and there are many other interesting examples beyond the Gaussian universality. In this talk, I shall describe a few of these stories, some of which have been proved mathematically while the others still remain as conjectures.
ICTS, Bengaluru
June 19, 2024
Universality in random structures: The phenomenon of universality, where many complex systems share the same large-scale features despite differing in microscopic details, is often observed in nature. Explaining this phenomenon in various contexts of mathematical models is one of the important topics in contemporary research in probability theory. The most well-known example of such an understanding is given by the celebrated central limit theorem which explains the ubiquity of the Gaussian distribution, and there are many other interesting examples beyond the Gaussian universality. In this talk, I shall describe a few of these stories, some of which have been proved mathematically while the others still remain as conjectures.