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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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Xehetasun bibliografikoak
Argitaratua izan da:Commun Math Phys
Egile Nagusiak: Erdős, László, Krüger, Torben, Schröder, Dominik
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: Springer Berlin Heidelberg 2020
Gaiak:
Sarrera elektronikoa:https://ncbi.nlm.nih.gov/pmc/articles/PMC7426322/
https://ncbi.nlm.nih.gov/pubmed/32831359
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s00220-019-03657-4
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