Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T12:36:10.430030Z
Paper Citation Record · LEDGER
Quaternionic Green's Function and the Brown Measure of Atomic Operators
As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.17166.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact4
- verified fuzzy17
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation bdb6ecc1-c2e3-4a13-b900-e5e8b5d137f3 · outbound
This paper cites An introduction toII1 factors.
Quaternionic Green's Function and the Brown Measure of Atomic Operators An introduction toII1 factors
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.792644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 87b52722-91a0-402f-9418-6466084148a0 · outbound
This paper cites The Brown measure of a sum of two free random variables, one of which is triangular elliptic.
Quaternionic Green's Function and the Brown Measure of Atomic Operators The Brown measure of a sum of two free random variables, one of which is triangular elliptic
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T12:36:10.532893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7015c664-a8b8-4375-8b34-d1744180bc40 · outbound
This paper cites Eigenvalues of non- Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Eigenvalues of non- Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.778433Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f0823af9-f845-479e-8f5f-0e78d26a2f0c · outbound
This paper cites Lidskii’s theorem in the typeII case.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Lidskii’s theorem in the typeII case
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.764001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 794e6d69-234b-4042-8551-9ae0a3415359 · outbound
This paper cites Quaternionic R transform and non- Hermitian random matrices.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Quaternionic R transform and non- Hermitian random matrices
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.749311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fd1c750f-d259-4867-8445-280f5267d39f · outbound
This paper cites Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.735164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9f93c0b5-73ea-4ae1-acdc-fd9acd8a7147 · outbound
This paper cites The Brown measure of the free multiplicative Brownian motion.
Quaternionic Green's Function and the Brown Measure of Atomic Operators The Brown measure of the free multiplicative Brownian motion
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.720681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1925266e-a846-42d2-a65b-1c661939a23e · outbound
This paper cites Non-Hermitian random matrix theory: method of Hermitian reduction.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Non-Hermitian random matrix theory: method of Hermitian reduction
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.705865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0f65bbd5-96f8-44e9-b1dd-1866b44dbb65 · outbound
This paper cites Determinant theory in finite factors.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Determinant theory in finite factors
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.691150Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation da30ce82-b9f5-4509-8a4b-3a91a761105f · outbound
This paper cites Brown measures of unbounded operators affiliated with a finite von Neumann algebra.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Brown measures of unbounded operators affiliated with a finite von Neumann algebra
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.676131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 54a47f81-6bee-4938-8171-f731f917a8b3 · outbound
This paper cites The Brown measure of the sum of a self-adjoint element and an elliptic element.
Quaternionic Green's Function and the Brown Measure of Atomic Operators The Brown measure of the sum of a self-adjoint element and an elliptic element
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.661862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2321d7b8-5566-4237-986e-557274d77e17 · outbound
This paper cites Brown measures of free circular and multi- plicative Brownian motions with self-adjoint and unitary initial conditions.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Brown measures of free circular and multi- plicative Brownian motions with self-adjoint and unitary initial conditions
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.647277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5052d729-a626-471a-827a-79aa4634263c · outbound
This paper cites Non-Hermitian random matrix models.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Non-Hermitian random matrix models
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.633130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6989c2e3-e369-4103-96e9-0a461ee40e71 · outbound
This paper cites Random Hermitian versus random non-Hermitian operators—unexpected links.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Random Hermitian versus random non-Hermitian operators—unexpected links
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.618896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 505d4592-311c-4963-8588-b110981fa49c · outbound
This paper cites A Novel Approach to Non-Hermitian Random Matrix Models.
Quaternionic Green's Function and the Brown Measure of Atomic Operators A Novel Approach to Non-Hermitian Random Matrix Models
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T12:36:10.512732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cc8bbae8-bc67-4210-99c5-861858fc9a92 · outbound
This paper cites Mingo and Roland Speicher.Free probability and random matrices.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Mingo and Roland Speicher.Free probability and random matrices
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.604142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation de1611e2-ae4e-4186-9d6b-dba3e3e44381 · outbound
This paper cites An Introduction to the Theory of Resultants.
Quaternionic Green's Function and the Brown Measure of Atomic Operators An Introduction to the Theory of Resultants
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.590228Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 885e5176-d12c-45d7-89c9-40e67282bd31 · outbound
This paper cites Graduate Studies in Mathe- matics.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Graduate Studies in Mathe- matics
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.575591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 742b0fdb-b754-45f4-9c2e-b5c596660665 · outbound
This paper cites Convergence of the Laws of Non-Hermitian Sums of Projections.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Convergence of the Laws of Non-Hermitian Sums of Projections
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T12:36:10.560853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ae11dbac-979a-45d6-9701-ab9f0ee5707b · outbound
This paper cites an unresolved cited work.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T12:36:10.547100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ba78a9e6-d022-4ae2-a757-8de934f10553 · outbound
This paper cites The Brown Measure of Non-Hermitian Sums of Projections.
Quaternionic Green's Function and the Brown Measure of Atomic Operators The Brown Measure of Non-Hermitian Sums of Projections
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T12:36:10.471958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f1252fd6-769a-465f-a68d-255bfcf0e902 · outbound
This paper cites Convergence of the Laws of Non-Hermitian Sums of Projections.
Quaternionic Green's Function and the Brown Measure of Atomic Operators Convergence of the Laws of Non-Hermitian Sums of Projections
Reference 2024
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T12:36:10.492755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
No inbound Pith citation observations are available.