Abstract
We study moments of the logarithmic derivative of characteristic polynomials of orthogonal and symplectic random matrices. In particular, we compute the asymptotics for large matrix size, N, of these moments evaluated at points which are approaching 1. This follows work of Bailey, Bettin, Blower, Conrey, Prokhorov, Rubinstein and Snaith where they compute these asymptotics in the case of unitary random matrices.
Original language  English 

Article number  103506 (2020) 
Journal  Journal of Mathematical Physics 
Volume  61 
Early online date  8 Oct 2020 
DOIs  
Publication status  Epub ahead of print  8 Oct 2020 
Fingerprint
Dive into the research topics of 'Moments of the logarithmic derivative of characteristic polynomials from SO(2N) and USp(2N)'. Together they form a unique fingerprint.Profiles

Professor Nina C Snaith
 School of Mathematics  Professor of Mathematical Physics
 Applied Mathematics
 Mathematical Physics
 Pure Mathematics
Person: Academic , Member