3 papers
math-ph2026
Flowing to Normality and the Fate of the Single Ring Theorem
Joshua Feinberg, Roman Riser, Richard Scalettar +1
Random non-hermitian matrix ensembles with double-sided rotation invariance obey, in the limit of large matrix size, the Single Ring Theorem, which states that the support of the m…
math-ph2026
On the asymptotic duality of spectral variances in random matrix theory and the "1/6" formula
Peng Tian, Roman Riser, Eugene Kanzieper
A "mysterious" relation between the number variance and the variance of the -th ordered eigenvalue, first suggested by French et al. [Ann. Phys. 113, 277 (1978)], is revisited a…
math-ph2024
Statistics of local level spacings in single- and many-body quantum chaos
Peng Tian, Roman Riser, Eugene Kanzieper
We introduce a notion of local level spacings and study their statistics within a random-matrix-theory approach. In the limit of infinite-dimensional random matrices, we determine…