Volume 139, Number 2, July 2022
|Number of page(s)||6|
|Section||Statistical physics and networks|
|Published online||26 July 2022|
Time delay statistics for finite number of channels in all symmetry classes
Instituto de Física, Universidade Federal de Uberlândia - Uberlândia, 38408-100, Brazil
(a) email@example.com (corresponding author)
Received: 2 April 2022
Accepted: 12 July 2022
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.
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