Baining Zhang’s Homepage

Hello, I am a second year undergraduate student at HKUST.

Academic Interests

I am mainly interested in probability theory and mathematical physics. Recently, I have been studying random walks and percolation.

An idea which I would like to explore is the dream of universality, which (vaguely) says that the behaviour of a large number of random variables is independent of the individual distributions. A first example of universality is the central limit theorem: the rescaled distribution of the mean of a large number of random variables behaves Gaussian. To a physicist, universality has been extensively studied using the language of renormalisation groups. Yet, for mathematicians, a rigorous understanding of universal phenomena is still very much a dream. This excellent talk by Martin Hairer should explain more.

I run a more mathematical blog called Peasant Maths.

You can reach me on Discord at amgmspaghetti.