TY - JOUR
AB - We prove local laws, i.e. optimal concentration estimates for arbitrary products of resolvents of a Wigner random matrix with deterministic matrices in between. We find that the size of such products heavily depends on whether some of the deterministic matrices are traceless. Our estimates correctly account for this dependence and they hold optimally down to the smallest possible spectral scale.
AU - Cipolloni, Giorgio
AU - Erdös, László
AU - Schröder, Dominik J
ID - 12290
JF - Electronic Journal of Probability
KW - Statistics
KW - Probability and Uncertainty
KW - Statistics and Probability
TI - Optimal multi-resolvent local laws for Wigner matrices
VL - 27
ER -