Z Burda - Journal of Physics: Conference Series, 2013 - iopscience.iop.org
We review methods to calculate eigenvalue distributions of products of large random matrices. We discuss a generalization of the law of free multiplication to non-Hermitian …
We study random graphs with arbitrary distributions of expected degree and derive expressions for the spectra of their adjacency and modularity matrices. We give a complete …
This book is aimed at students in communications and signal processing who want to extend their skills in the energy area. It describes power systems and why these backgrounds are …
Although the spectra of random networks have been studied for a long time, the influence of network topology on the dense limit of network spectra remains poorly understood. By …
J Wang - Journal of High Energy Physics, 2023 - Springer
A bstract We give a free probabilistic proposal to compute the fine-grained radiation entropy for an arbitrary bulk radiation state, in the context of the Penington-Shenker-Stanford-Yang …
We derive a multiplication law for free non-Hermitian random matrices allowing for an easy reconstruction of the two-dimensional eigenvalue distribution of the product ensemble from …
B Collins, T Hayase - Communications in Mathematical Physics, 2023 - Springer
Abstract Free Probability Theory (FPT) provides rich knowledge for handling mathematical difficulties caused by random matrices appearing in research related to deep neural …
F Götze, H Kösters, A Tikhomirov - Random Matrices: Theory and …, 2015 - World Scientific
We investigate the universality of singular value and eigenvalue distributions of matrix- valued functions of independent random matrices and apply these general results in several …
This is an introductory book on Non-Commutative Probability or Free Probability and Large Dimensional Random Matrices. Basic concepts of free probability are introduced by analogy …