TY - JOUR A2 - Hofmann, Ralf AU - Krajewski, Thomas PY - 2017 DA - 2017/12/31 TI - A Renormalisation Group Approach to the Universality of Wigner’s Semicircle Law for Random Matrices with Dependent Entries SP - 4098720 VL - 2017 AB - We show that if the non-Gaussian part of the cumulants of a random matrix model obeys some scaling bounds in the size of the matrix, then Wigner’s semicircle law holds. This result is derived using the replica technique and an analogue of the renormalisation group equation for the replica effective action. SN - 1687-7357 UR - https://doi.org/10.1155/2017/4098720 DO - 10.1155/2017/4098720 JF - Advances in High Energy Physics PB - Hindawi KW - ER -