Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225131749> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W4225131749 abstract "Consider a random matrix of size $N$ as an additive deformation of the complex Ginibre ensemble under a deterministic matrix $X_0$ with a finite rank, independent of $N$. When some eigenvalues of $X_0$ separate from the unit disk, outlier eigenvalues may appear asymptotically in the same locations, and their fluctuations exhibit surprising phenomena that highly depend on the Jordan canonical form of $X_0$. These findings are largely due to Benaych-Georges and Rochet cite{BR}, Bordenave and Capitaine cite{BC16}, and Tao cite{Ta13}. When all eigenvalues of $X_0$ lie inside the unit disk, we prove that local eigenvalue statistics at the spectral edge form a new class of determinantal point processes, for which correlation kernels are characterized in terms of the repeated erfc integrals. This thus completes a non-Hermitian analogue of the BBP phase transition in Random Matrix Theory. Similar results hold for the deformed real quaternion Ginibre ensemble." @default.
- W4225131749 created "2022-05-01" @default.
- W4225131749 creator A5044757881 @default.
- W4225131749 creator A5086888680 @default.
- W4225131749 date "2022-04-27" @default.
- W4225131749 modified "2023-09-24" @default.
- W4225131749 title "Phase transition of eigenvalues in deformed Ginibre ensembles" @default.
- W4225131749 doi "https://doi.org/10.48550/arxiv.2204.13171" @default.
- W4225131749 hasPublicationYear "2022" @default.
- W4225131749 type Work @default.
- W4225131749 citedByCount "0" @default.
- W4225131749 crossrefType "posted-content" @default.
- W4225131749 hasAuthorship W4225131749A5044757881 @default.
- W4225131749 hasAuthorship W4225131749A5086888680 @default.
- W4225131749 hasBestOaLocation W42251317491 @default.
- W4225131749 hasConcept C106487976 @default.
- W4225131749 hasConcept C114614502 @default.
- W4225131749 hasConcept C121332964 @default.
- W4225131749 hasConcept C126875415 @default.
- W4225131749 hasConcept C134306372 @default.
- W4225131749 hasConcept C158693339 @default.
- W4225131749 hasConcept C159985019 @default.
- W4225131749 hasConcept C164226766 @default.
- W4225131749 hasConcept C192562407 @default.
- W4225131749 hasConcept C202444582 @default.
- W4225131749 hasConcept C33923547 @default.
- W4225131749 hasConcept C37914503 @default.
- W4225131749 hasConcept C47177299 @default.
- W4225131749 hasConcept C62520636 @default.
- W4225131749 hasConcept C64812099 @default.
- W4225131749 hasConcept C94940 @default.
- W4225131749 hasConceptScore W4225131749C106487976 @default.
- W4225131749 hasConceptScore W4225131749C114614502 @default.
- W4225131749 hasConceptScore W4225131749C121332964 @default.
- W4225131749 hasConceptScore W4225131749C126875415 @default.
- W4225131749 hasConceptScore W4225131749C134306372 @default.
- W4225131749 hasConceptScore W4225131749C158693339 @default.
- W4225131749 hasConceptScore W4225131749C159985019 @default.
- W4225131749 hasConceptScore W4225131749C164226766 @default.
- W4225131749 hasConceptScore W4225131749C192562407 @default.
- W4225131749 hasConceptScore W4225131749C202444582 @default.
- W4225131749 hasConceptScore W4225131749C33923547 @default.
- W4225131749 hasConceptScore W4225131749C37914503 @default.
- W4225131749 hasConceptScore W4225131749C47177299 @default.
- W4225131749 hasConceptScore W4225131749C62520636 @default.
- W4225131749 hasConceptScore W4225131749C64812099 @default.
- W4225131749 hasConceptScore W4225131749C94940 @default.
- W4225131749 hasLocation W42251317491 @default.
- W4225131749 hasOpenAccess W4225131749 @default.
- W4225131749 hasPrimaryLocation W42251317491 @default.
- W4225131749 hasRelatedWork W101133051 @default.
- W4225131749 hasRelatedWork W2043453857 @default.
- W4225131749 hasRelatedWork W2053332484 @default.
- W4225131749 hasRelatedWork W2072652464 @default.
- W4225131749 hasRelatedWork W2072972610 @default.
- W4225131749 hasRelatedWork W2080635210 @default.
- W4225131749 hasRelatedWork W2950564208 @default.
- W4225131749 hasRelatedWork W2952484016 @default.
- W4225131749 hasRelatedWork W4225131749 @default.
- W4225131749 hasRelatedWork W4301903100 @default.
- W4225131749 isParatext "false" @default.
- W4225131749 isRetracted "false" @default.
- W4225131749 workType "article" @default.