Picture of person typing on laptop with programming code visible on the laptop screen

World class computing and information science research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

The Department also includes the iSchool Research Group, which performs leading research into socio-technical phenomena and topics such as information retrieval and information seeking behaviour.

Explore

Spectral correlations: Understanding oscillatory contributions

Mehlig, B. and Wilkinson, M. (2001) Spectral correlations: Understanding oscillatory contributions. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 63 (4). 045203-1. ISSN 1063-651X

[img]
Preview
PDF (strathprints006440.pdf)
strathprints006440.pdf - Accepted Author Manuscript

Download (168kB) | Preview

Abstract

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.