Superposition and higher-order spacing ratios in random matrix theory with application to complex systems
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.054204
Abstract: The joint distribution of every second eigenvalue obtained after superposing the spectra of two circular orthogonal ensembles ($\beta=1$) is known to be equal to that of the circular unitary ensemble ($\beta=2$), where the parameter $\beta$… read more here.
Keywords: order spacing; beta; higher order; distribution ... See more keywords
Universal scaling of higher-order spacing ratios in Gaussian random matrices.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.024132
Abstract: Higher-order spacing ratios are investigated analytically using a Wigner-like surmise for Gaussian ensembles of random matrices. For a kth order spacing ratio (r^{(k)},k>1) the matrix of dimension 2k+1 is considered. A universal scaling relation for… read more here.
Keywords: order spacing; higher order; universal scaling; random matrices ... See more keywords