Explore the intricacies of eigenvalue distribution in non-linear random matrix models through this 43-minute lecture by Sandrine PECHE from Université Paris Diderot, France. Delivered as part of the School and Workshop on Random Matrix Theory and Point Processes, delve into topics such as the Holman cuckoo, Bennington vom, MuF limits, and batch normalization. Examine the moment method, encoding techniques, and matching processes. Gain insights into identifying key elements within these complex mathematical structures before reaching the concluding remarks.