Scientists analyzed each element of the neutrino mass matrix belonging to leptons and showed theoretically that the intergenerational mixing of lepton flavors is large. Furthermore, by using the ...

In a study published in Physical Review Letters, physicists have demonstrated that black holes satisfy the third law of thermodynamics, which states that entropy remains positive and vanishes at ...

Random Matrix Theory (RMT) has emerged as a potent framework to characterise the statistical properties of eigenvalues in large complex systems, bridging disciplines from quantum physics to number ...

A potent theory has emerged explaining a mysterious statistical law that arises throughout physics and mathematics. Imagine an archipelago where each island hosts a single tortoise species and all the ...

Random-matrix theory is a mathematical method for finding hidden correlations within masses of data. It doesn't just find pairs, a relatively easy task, but can detect groups of many correlated units ...

All complex correlated systems, from Arctic melt ponds to the Internet, appear to be governed by the same math as a random matrix. In 1999, while sitting at a bus stop in Cuernavaca, Mexico, a Czech ...

The Mathematical Physics group at CU Boulder has expertise in Hilbert space theory, quantization theory, random matrices, Poisson geometry, the mathematics of classical and quantum fields, and PDE's ...

We place ourselves in the setting of high-dimensional statistical inference where the number of variables p in a dataset of interest is of the same order of magnitude as the number of observations n.

Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...