Spectral correlations: understanding oscillatory contributions

Mehlig, B. and Wilkinson, M. (2001). Spectral correlations: understanding oscillatory contributions. Physical Review E, 63(4) 045203.

DOI: https://doi.org/10.1103/PhysRevE.63.045203


We give a different derivation of a relation obtained using a supersymmetric nonlinear sigma model by Andreev and Altshuler [Phys. Rev. Lett. 72, 902 (1995)], which connects smooth and oscillatory components of spectral correlation functions. We show that their result is not specific to the random matrix theory. Also, we show that despite an apparent contradiction, the results obtained using their formula are consistent with earlier perspectives on random matrix models.

Viewing alternatives


Public Attention

Altmetrics from Altmetric

Number of Citations

Citations from Dimensions

Item Actions