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 ...

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 ...

The notion of the shape of a triangle can be used to define the shape of a 2 × 2 real matrix; we find that the shape of a matrix retains just the right amount of information required for determining ...

We show that, for an n × n random matrix A with independent uniformly anticoncentrated entries such that E ‖ A ‖ HS 2 ≤k n 2 , the smallest singular value σn(A) of A satisfies ℙ{ σ n ( A )≤ ε n }≤Cε+2 ...

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 ...