Truncated linear statistics associated with the top eigenvalues of random matrices

Aurélien Grabsch 1 Satya N. Majumdar 1 Christophe Texier 1

Journal of Statistical Physics, Springer Verlag, 2017, 167 (2), pp.234 - 259

Given a certain invariant random matrix ensemble characterised by the joint probability distribution of eigenvalues $P(\lambda_1,\cdots,\lambda_N)$, many important questions have been related to the study of linear statistics of eigenvalues $L=\sum_{i=1}^Nf(\lambda_i)$, where $f(\lambda)$ is a known function. We study here truncated linear statistics where the sum is restricted to the $N_1

  • 1. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques