Time delay statistics for finite number of channels in all symmetry classes. (1st July 2022) - Novaes, Marcel
Abstract: Within a random matrix theory approach, we obtain spectral statistics of the Wigner time delay matrix Q, for arbitrary channels number M and for all symmetry classes, in fact for the general Dyson parameter β . We also put forth two conjectures: one is related to the large- M expansion of joint cumulants of traces of powers of Q, which generalizes and implies a previous conjecture of Cunden, Mezzadri, Vivo and Simm; the other concerns the tail of the distribution of traces of powers of Q .