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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...
Wedi'i Gadw mewn:
| Cyhoeddwyd yn: | Commun Math Phys |
|---|---|
| Prif Awduron: | , , |
| Fformat: | Artigo |
| Iaith: | Inglês |
| Cyhoeddwyd: |
Springer Berlin Heidelberg
2020
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| Pynciau: | |
| Mynediad Ar-lein: | 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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