Singularities of the density of states of random Gram matrices Alt, Johannes ddc:539 For large random matrices X with independent, centered entries but not necessarily identical variances, the eigenvalue density of XX* is well-approximated by a deterministic measure on ℝ. We show that the density of this measure has only square and cubic-root singularities away from zero. We also extend the bulk local law in [5] to the vicinity of these singularities. Institute of Mathematical Statistics 2017 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/550 https://research-explorer.ista.ac.at/download/550/4663 Alt J. Singularities of the density of states of random Gram matrices. <i>Electronic Communications in Probability</i>. 2017;22. doi:<a href="https://doi.org/10.1214/17-ECP97">10.1214/17-ECP97</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1214/17-ECP97 info:eu-repo/semantics/altIdentifier/issn/1083-589X info:eu-repo/semantics/altIdentifier/wos/000416389200001 https://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess