Paper Citation Record · LEDGER

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions

As of 15 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:1908.08150.

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pith.paper-citation-record.v1
1908.08150 v3

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measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:54:01.399820Z

measured 40 of 40 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:32:25.084384Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-06T16:32:28.340668Z

Reference resolution

39 of 39 outbound references displayed

verified exact2
verified fuzzy30
unresolved7
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External citation measurements

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Outbound references

Observation 8a35f695-d3a6-4ff3-854e-92d96c9900a9 · outbound

This paper cites an unresolved cited work.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:54:01.869986Z

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Observation 42a52d24-9bb6-4aa5-928d-a88344436446 · outbound

This paper cites an unresolved cited work.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:54:01.859025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2b3b835d-a143-4d8b-b22c-c696d6b5a97c · outbound

This paper cites T., AND BERCOVICI , H.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions T., AND BERCOVICI , H

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.848254Z

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Observation 86b4a38f-b945-4654-9e1a-682704432359 · outbound

This paper cites T., AND BERCOVICI , H.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions T., AND BERCOVICI , H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.835109Z

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Observation d8867fcf-1d4d-4cc1-bebd-309da63caa75 · outbound

This paper cites T., NIADY, P., AND SPEICHER , R.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions T., NIADY, P., AND SPEICHER , R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.823322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 054b8ee3-f1e5-430f-9aa6-e00c7067291a · outbound

This paper cites Free Convolution.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Free Convolution

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.812232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c275c21e-0e44-4a77-a124-a8ee35f48086 · outbound

This paper cites L ´evy-Hinˇcin type theorems for multiplicative and additive free convolution.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions L ´evy-Hinˇcin type theorems for multiplicative and additive free convolution

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.801894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6378291a-ef48-4f27-bb45-e1927b54ab8d · outbound

This paper cites Regularity questions for free convolution.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Regularity questions for free convolution

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.789504Z

Source-reported events for the cited work

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Observation 6140c878-4fc3-47bf-b336-4938d4fa51ba · outbound

This paper cites Free Brownian motion, free stochastic calculus and random matrices.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Free Brownian motion, free stochastic calculus and random matrices

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.777721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55382d8d-5e6a-40cc-9947-2f7980621fd2 · outbound

This paper cites On the free convolution with a semi-circular distribution.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions On the free convolution with a semi-circular distribution

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.766677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d879fd88-3ad0-48d3-826f-df8298c01255 · outbound

This paper cites Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.755212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 45729f41-f0fc-4d97-80e6-c99e8653bc5f · outbound

This paper cites Processes with free increments.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Processes with free increments

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.745265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4516adc8-9f18-44cf-a815-b43dd0ccf432 · outbound

This paper cites Computation of some examples of Brown’s spectral measure in free proba- bility.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Computation of some examples of Brown’s spectral measure in free proba- bility

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.734595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6a614c1b-9112-4f70-8157-ad8ff109b938 · outbound

This paper cites Stochastic calculus with respect to free Brownian motion and analysis on Wigner space.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Stochastic calculus with respect to free Brownian motion and analysis on Wigner space

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.723786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7abec69d-4167-4826-9300-80010c7a6de3 · outbound

This paper cites Around the circular law.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Around the circular law

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.714113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1f1cf693-49cb-4897-80cf-cfbb343e8479 · outbound

This paper cites an unresolved cited work.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:54:01.704435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1700ec5-498d-4831-bf6e-e33a7f334b11 · outbound

This paper cites The Brown measure of the free multiplicative Brownian motion.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions The Brown measure of the free multiplicative Brownian motion

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:54:01.463709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7bd87583-f4e8-4136-ad0d-806cc74e81bc · outbound

This paper cites an unresolved cited work.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:54:01.694286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 05813070-8b48-4f0a-bbe5-8f1e246983d8 · outbound

This paper cites an unresolved cited work.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:54:01.684187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 19d65140-1afb-404d-b6bd-28caf0ed53a0 · outbound

This paper cites Statistical Ensembles of Complex, Quaternion and Real Matrices.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Statistical Ensembles of Complex, Quaternion and Real Matrices

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.672956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ca245e92-15e8-4a11-b7b3-a9cda78a1dec · outbound

This paper cites Brown’s spectral distribution measure for r-diagonal elements in ﬁnite von neumann algebras.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Brown’s spectral distribution measure for r-diagonal elements in ﬁnite von neumann algebras

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.662377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6f0788dd-9f43-433e-b444-cc46d3f3caad · outbound

This paper cites Brown measures of unbounded operators afﬁliated with a ﬁnite von Neumann algebra.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Brown measures of unbounded operators afﬁliated with a ﬁnite von Neumann algebra

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.648658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 822a20d7-fcb2-4f8e-a203-f8fb4af0baeb · outbound

This paper cites an unresolved cited work.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:54:01.637018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c06990aa-738d-4e0a-b1d3-ba33e0608823 · outbound

This paper cites PDE methods in random matrix theory.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions PDE methods in random matrix theory

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:54:01.442382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2fa1d47d-fca7-4713-b8f5-7eec815968ef · outbound

This paper cites C., AND KEMP, T.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions C., AND KEMP, T

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.627530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 73f0d695-301f-4045-af1e-b6fe900b2d5d · outbound

This paper cites The two-parameter free unitary Segal-Bargmann transform and its Biane-Gross-Malliavin iden- tiﬁcation.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions The two-parameter free unitary Segal-Bargmann transform and its Biane-Gross-Malliavin iden- tiﬁcation

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.617951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2e38b896-f1aa-48da-89bc-5dff48778f67 · outbound

This paper cites The large- N limits of Brownian motions on GLN.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions The large- N limits of Brownian motions on GLN

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.608324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df99a4b1-2699-4ac0-b286-995eb989271b · outbound

This paper cites Stochastic integration on the Cuntz algebraO∞.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Stochastic integration on the Cuntz algebraO∞

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.599285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4ef73030-dcda-4fa9-8521-492e9968c75e · outbound

This paper cites Levy Processes in Lie Groups, vol.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Levy Processes in Lie Groups, vol

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.588515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1354ef98-19d6-4496-ae29-ee34f3e14b4c · outbound

This paper cites A., AND SPEICHER , R.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions A., AND SPEICHER , R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.577578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation babb368d-4dc8-46ea-bfb8-d2b08c6770eb · outbound

This paper cites Lectures on the Combinatorics of Free Probability.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Lectures on the Combinatorics of Free Probability

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.565201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3abfbb66-1b66-452f-8e28-9282565396bc · outbound

This paper cites Random regularization of Brown spectral measure.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Random regularization of Brown spectral measure

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.553124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f255f1c5-38b6-450b-8abc-d5c028f85511 · outbound

This paper cites Circular and semicircular systems and free product factors.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Circular and semicircular systems and free product factors

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.543321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 200e203a-4ccd-4e21-9e93-4b3ceead76dc · outbound

This paper cites Limit laws for random matrices and free products.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Limit laws for random matrices and free products

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.532322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9d266c64-a260-4047-b0d7-9bebf9b64362 · outbound

This paper cites The analogues of entropy and of Fisher’s information measure in free probability theory.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions The analogues of entropy and of Fisher’s information measure in free probability theory

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.520849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 02867c91-1ff0-4b18-87ff-22085be37575 · outbound

This paper cites The coalgebra of the free difference quotient and free probability.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions The coalgebra of the free difference quotient and free probability

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.509169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dd043881-4a5f-4c3f-b5eb-6ef010584bce · outbound

This paper cites an unresolved cited work.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:54:01.497254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9dadf5c0-ec1e-4946-b20c-79623a17919c · outbound

This paper cites Free Brownian motion and free convolution semigroups: multiplicative case.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions Free Brownian motion and free convolution semigroups: multiplicative case

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.485839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2cb9338d-04a0-4315-8fa4-bfb38d76811d · outbound

This paper cites On the free convolution with a free multiplicative analogue of the normal distribution.

Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions On the free convolution with a free multiplicative analogue of the normal distribution

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:54:01.475685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 53f5c442-f873-4044-844f-3b5eaeff18ab · inbound

Strong Convergence of Multiplicative Brownian Motions on the General Linear Group cites this paper.

Strong Convergence of Multiplicative Brownian Motions on the General Linear Group Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:32:28.392107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.