@article{ECP2340,
author = {Charles Bordenave},
title = {On Euclidean random matrices in high dimension},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {18},
year = {2013},
keywords = {Euclidean random matrices, Marcenko-Pastur distribution, Log-concave distribution.},
abstract = {In this note, we study the n x n random Euclidean matrix whose entry (i,j) is equal to f (|| Xi - Xj ||) for some function f and the Xi's are i.i.d. isotropic vectors in Rp. In the regime where n and p both grow to infinity and are proportional, we give some sufficient conditions for the empirical distribution of the eigenvalues to converge weakly. We illustrate our result on log-concave random vectors.},
pages = {no. 25, 1-8},
issn = {1083-589X},
doi = {10.1214/ECP.v18-2340},
url = {http://ecp.ejpecp.org/article/view/2340}}