On Mesoscopic Equilibrium for Linear Statistics in Dyson’s Brownian Motion

Abstract

Introduction Statement of results Proof of Theorem 2.1 Proof of Theorem 2.3 Asymptotic analysis of $K_n$ and $R_n$ Proof of Proposition 2.4 Proof of Lemma 4.3 Random initial points Proof of Theorem 2.6: the general case Appendix A. Appendix Bibliography