Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T23:02:08.640021Z
Paper Citation Record · LEDGER
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution
As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2505.05984.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T06:08:06.245654Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
14 of 14 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e429dfd1-6c4f-4220-ba48-4891a5cabfa5 · outbound
This paper cites An explicit formula for free multiplicative Brownian motions via spherical functions.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution An explicit formula for free multiplicative Brownian motions via spherical functions
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.817576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 74740da0-e2a6-45d9-bc41-54efdd099bb8 · outbound
This paper cites Free Brownian motion, free stochastic calculus, and random matrices.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Free Brownian motion, free stochastic calculus, and random matrices
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.807009Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ff01fd81-a146-4c4d-a13f-46c8d6271a1b · outbound
This paper cites Segal–Bargmann Transform, Functional Calculus on Matrix Spaces and the Theory of Semi-circular and Circular Systems.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Segal–Bargmann Transform, Functional Calculus on Matrix Spaces and the Theory of Semi-circular and Circular Systems
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.797212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3ce8abc9-ebad-43f4-9bfd-eb3643142aab · outbound
This paper cites The Brown measure of the free multiplicative Brownian motion.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution The Brown measure of the free multiplicative Brownian motion
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.787631Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 162d8e7f-bbba-4c2a-810f-7fd297e59ebe · outbound
This paper cites an unresolved cited work.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:02:08.777042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 18ce1188-2db5-48c9-ab6c-315d4232cccb · outbound
This paper cites an unresolved cited work.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:02:08.765187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0d586c05-2fe4-416c-af33-159402116052 · outbound
This paper cites Log-unimodality for free positive multiplicative Brow- nian motion.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Log-unimodality for free positive multiplicative Brow- nian motion
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.752793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5e4d65a9-340c-47b9-a3ce-335509a77a87 · outbound
This paper cites The large- N limits of Brownian motions on GLN.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution The large- N limits of Brownian motions on GLN
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.740959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4fba97d6-af9d-4f25-ac1e-0165397813c6 · outbound
This paper cites Erratum to “Itˆ o’s formula for noncommutative C 2 functions of free Itˆ o processes.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Erratum to “Itˆ o’s formula for noncommutative C 2 functions of free Itˆ o processes
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.729051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 19895b64-b2c7-45ff-9cef-cddd6c612100 · outbound
This paper cites Itˆ o’s formula for noncommutative C 2 functions of free Itˆ o processes.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Itˆ o’s formula for noncommutative C 2 functions of free Itˆ o processes
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.716213Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 11b0ba64-5657-4ceb-898c-1baa86a16309 · outbound
This paper cites Egorychev Method: A Hidden Treasure.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Egorychev Method: A Hidden Treasure
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.703743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2b39a75d-d964-4d12-bb38-bdb856f97db9 · outbound
This paper cites an unresolved cited work.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T23:02:08.692547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9eae6dc0-757b-4f92-8075-d3dfe11f15e1 · outbound
This paper cites Limit laws for Random matrices and free products.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution Limit laws for Random matrices and free products
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.681014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d83468ae-9c50-4f98-9687-d7e5620bfa61 · outbound
This paper cites On the Free Convolution with a Free Multiplicative Analogue of the Normal Distribution.
Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution On the Free Convolution with a Free Multiplicative Analogue of the Normal Distribution
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T23:02:08.670519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation e21c813e-6b4b-4660-be28-10b2b618cc0c · inbound
Hua-Pickrell diffusions and differential equations related with pseudo-Jacobi polynomials cites this paper.
Hua-Pickrell diffusions and differential equations related with pseudo-Jacobi polynomials Free positive multiplicative Brownian motion and the free additive convolution of semicircle and uniform distribution
Reference 2025
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T06:08:06.245654Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.