Freeness for tensors
R Bonnin, C Bordenave - arXiv preprint arXiv:2407.18881, 2024 - arxiv.org
We pursue the current developments in random tensor theory by laying the foundations of a
free probability theory for tensors and establish its relevance in the study of random tensors …
free probability theory for tensors and establish its relevance in the study of random tensors …
Large deviations for macroscopic observables of heavy-tailed matrices
C Bordenave, A Guionnet, C Male - arXiv preprint arXiv:2409.14027, 2024 - arxiv.org
We consider a finite collection of independent Hermitian heavy-tailed random matrices of
growing dimension. Our model includes the L\'evy matrices proposed by Bouchaud and …
growing dimension. Our model includes the L\'evy matrices proposed by Bouchaud and …
A traffic approach for profiled Pennington-Worah matrices
I Dabo, C Male - arXiv preprint arXiv:2409.13433, 2024 - arxiv.org
We study macroscopic observables of large random matrices introduced by Pennington and
Worah, defined by applying entry wise a non linear function on a product of matrices with …
Worah, defined by applying entry wise a non linear function on a product of matrices with …
[引用][C] Traffic Probability for Rectangular Random Matrices
G Zitelli - Random Matrices: Theory and Applications, 2024 - World Scientific
This article develops a rectangular version of Male's theory of traffic probability, in which an
algebra is equipped with a trace evaluated on arbitrary graphs whose edges are labeled by …
algebra is equipped with a trace evaluated on arbitrary graphs whose edges are labeled by …