Matches in SemOpenAlex for { <https://semopenalex.org/work/W2891950771> ?p ?o ?g. }
- W2891950771 abstract "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. Since the density of states typically exhibits only square root or cubic root cusp singularities, our work complements previous results on the bulk and edge universality and it thus completes the resolution of the Wigner-Dyson-Mehta universality conjecture for the last remaining universality type in the complex Hermitian class. Our analysis holds not only for exact cusps, but approximate cusps as well, where an extended Pearcey process emerges. As a main technical ingredient we prove an optimal local law at the cusp for both symmetry classes. This result is also used in the companion paper [arXiv:1811.04055] where the cusp universality for real symmetric Wigner-type matrices is proven." @default.
- W2891950771 created "2018-09-27" @default.
- W2891950771 creator A5065652803 @default.
- W2891950771 creator A5087711539 @default.
- W2891950771 creator A5087712027 @default.
- W2891950771 date "2018-09-11" @default.
- W2891950771 modified "2023-10-18" @default.
- W2891950771 title "Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case" @default.
- W2891950771 cites W1541153235 @default.
- W2891950771 cites W1576778649 @default.
- W2891950771 cites W1580717982 @default.
- W2891950771 cites W1843037072 @default.
- W2891950771 cites W1971010887 @default.
- W2891950771 cites W1972756622 @default.
- W2891950771 cites W1979541448 @default.
- W2891950771 cites W1993313079 @default.
- W2891950771 cites W1998731194 @default.
- W2891950771 cites W2007665033 @default.
- W2891950771 cites W2012617999 @default.
- W2891950771 cites W2021467799 @default.
- W2891950771 cites W2022828775 @default.
- W2891950771 cites W2033292040 @default.
- W2891950771 cites W2046035455 @default.
- W2891950771 cites W2046101132 @default.
- W2891950771 cites W2048981998 @default.
- W2891950771 cites W2070694478 @default.
- W2891950771 cites W2078757002 @default.
- W2891950771 cites W2079678340 @default.
- W2891950771 cites W2095986642 @default.
- W2891950771 cites W2118974146 @default.
- W2891950771 cites W2154725178 @default.
- W2891950771 cites W2169995452 @default.
- W2891950771 cites W2243692787 @default.
- W2891950771 cites W2264002775 @default.
- W2891950771 cites W2264907590 @default.
- W2891950771 cites W2345229637 @default.
- W2891950771 cites W2395103891 @default.
- W2891950771 cites W2499952289 @default.
- W2891950771 cites W2615248956 @default.
- W2891950771 cites W2620320285 @default.
- W2891950771 cites W2772554159 @default.
- W2891950771 cites W2798287718 @default.
- W2891950771 cites W2798620122 @default.
- W2891950771 cites W2798971893 @default.
- W2891950771 cites W2799499928 @default.
- W2891950771 cites W2810633379 @default.
- W2891950771 cites W2949463418 @default.
- W2891950771 cites W2962714513 @default.
- W2891950771 cites W2963054551 @default.
- W2891950771 cites W2963161934 @default.
- W2891950771 cites W2963215114 @default.
- W2891950771 cites W2963503088 @default.
- W2891950771 cites W2963620126 @default.
- W2891950771 cites W2963958357 @default.
- W2891950771 cites W2964170490 @default.
- W2891950771 cites W2964310749 @default.
- W2891950771 cites W2964687112 @default.
- W2891950771 cites W2965465119 @default.
- W2891950771 cites W3098203172 @default.
- W2891950771 cites W3099657073 @default.
- W2891950771 cites W3104682004 @default.
- W2891950771 hasPublicationYear "2018" @default.
- W2891950771 type Work @default.
- W2891950771 sameAs 2891950771 @default.
- W2891950771 citedByCount "5" @default.
- W2891950771 countsByYear W28919507712019 @default.
- W2891950771 countsByYear W28919507712020 @default.
- W2891950771 crossrefType "posted-content" @default.
- W2891950771 hasAuthorship W2891950771A5065652803 @default.
- W2891950771 hasAuthorship W2891950771A5087711539 @default.
- W2891950771 hasAuthorship W2891950771A5087712027 @default.
- W2891950771 hasConcept C121332964 @default.
- W2891950771 hasConcept C12843 @default.
- W2891950771 hasConcept C130367717 @default.
- W2891950771 hasConcept C134306372 @default.
- W2891950771 hasConcept C158693339 @default.
- W2891950771 hasConcept C16171025 @default.
- W2891950771 hasConcept C183992945 @default.
- W2891950771 hasConcept C202444582 @default.
- W2891950771 hasConcept C2524010 @default.
- W2891950771 hasConcept C2778400075 @default.
- W2891950771 hasConcept C33923547 @default.
- W2891950771 hasConcept C37914503 @default.
- W2891950771 hasConcept C62520636 @default.
- W2891950771 hasConcept C64812099 @default.
- W2891950771 hasConcept C94940 @default.
- W2891950771 hasConceptScore W2891950771C121332964 @default.
- W2891950771 hasConceptScore W2891950771C12843 @default.
- W2891950771 hasConceptScore W2891950771C130367717 @default.
- W2891950771 hasConceptScore W2891950771C134306372 @default.
- W2891950771 hasConceptScore W2891950771C158693339 @default.
- W2891950771 hasConceptScore W2891950771C16171025 @default.
- W2891950771 hasConceptScore W2891950771C183992945 @default.
- W2891950771 hasConceptScore W2891950771C202444582 @default.
- W2891950771 hasConceptScore W2891950771C2524010 @default.
- W2891950771 hasConceptScore W2891950771C2778400075 @default.
- W2891950771 hasConceptScore W2891950771C33923547 @default.
- W2891950771 hasConceptScore W2891950771C37914503 @default.
- W2891950771 hasConceptScore W2891950771C62520636 @default.
- W2891950771 hasConceptScore W2891950771C64812099 @default.