Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case

For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp singularity of the limiting eigenvalue distribution the local eigenvalue statistics are universal and form a Pearcey process...

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Detalles Bibliográficos
Autores principales: Erdős, László, Krüger, Torben, Schröder, Dominik
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7426322/
https://www.ncbi.nlm.nih.gov/pubmed/32831359
http://dx.doi.org/10.1007/s00220-019-03657-4

Internet

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7426322/
https://www.ncbi.nlm.nih.gov/pubmed/32831359
http://dx.doi.org/10.1007/s00220-019-03657-4

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