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 ...

When any matter is divided into smaller and smaller pieces, eventually all you are left with—when it cannot be divided any further—is a particle. Currently, there are 12 different known elementary ...

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 ...

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 ...

Scientists are exploring a mysterious pattern, found in birds’ eyes, boxes of marbles and other surprising places, that is neither regular nor random. All complex correlated systems, from Arctic melt ...

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 ...

Coffee beans in a jar and piles of rice or sand are examples of granular matter: materials composed of large numbers of macroscopic—rather than atomic scale—particles. Although granular matter is ...

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 ...

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 ...

Random matrices with prescribed eigenvalues and expectation values for random quantum states (with E. Meckes). arXiv A sharp rate of convergence for the empirical spectral measure of a random unitary ...

MICSI-RMT is a significant breakthrough as the first market solution designed to enhance the signal-to-noise ratio (SNR) for diffusion and functional MRI. Diffusion MRI involves the exponential signal ...