Paper Citation Record · LEDGER

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion

As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2506.04424.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.04424 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:12:42.456350Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact2
verified fuzzy14
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3e5ef14e-051a-4a58-a7da-437d364f3100 · outbound

This paper cites , Gigli, N.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion , Gigli, N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.751625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 87ff0e33-15b8-4322-881e-737fee0e6748 · outbound

This paper cites an unresolved cited work.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:12:44.743829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 991c7e6d-ffc7-4cd4-9917-a81243a08c50 · outbound

This paper cites and \'E mery, M.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion and \'E mery, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.736033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation eebe2f85-3792-4295-a268-5b0719621369 · outbound

This paper cites , Gentil, I.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion , Gentil, I

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.727991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5ea22a7d-2172-41a1-8ace-3b3dd8ae2ee5 · outbound

This paper cites and L\'epingle, D.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion and L\'epingle, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.720622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9c36c098-7791-42ff-add0-fc1878e18c12 · outbound

This paper cites and L\'epingle, D.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion and L\'epingle, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.712735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6366ad2a-5d01-49a9-9317-06ff19f38554 · outbound

This paper cites Heat Kernels and Spectral Theory.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Heat Kernels and Spectral Theory

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.704813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1c81f81b-d2bb-4447-ac59-ac02dece0489 · outbound

This paper cites an unresolved cited work.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:12:44.696845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b9f4e7de-bad2-4ad8-9c22-960fb40c9351 · outbound

This paper cites , Rigoni, C.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion , Rigoni, C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.680752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 97eeb489-5e3f-4c61-91e8-4c9f728a95de · outbound

This paper cites , Schlein, B.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion , Schlein, B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.545511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3410248f-50f7-43f7-9296-4db822181228 · outbound

This paper cites , Kilpel\"ainen, T.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion , Kilpel\"ainen, T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.362656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2b31f329-ff83-4578-94d3-de149bd2bbc4 · outbound

This paper cites Bakry-\'Emery conditions on almost smooth metric measure spaces.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Bakry-\'Emery conditions on almost smooth metric measure spaces

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.281584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 942c043c-30fb-4378-bf93-0d5b1e11ff1d · outbound

This paper cites and Sun, S.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion and Sun, S

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-07T11:12:43.345790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9283927c-bd41-4331-a173-830fdbe66f11 · outbound

This paper cites Cheeger-harmonic functions in metric measure spaces revisited.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Cheeger-harmonic functions in metric measure spaces revisited

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.267683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d4b1d049-dce3-4b45-93f4-3593a738852b · outbound

This paper cites Analysis on local Dirichlet spaces I.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Analysis on local Dirichlet spaces I

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:44.076620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 31728122-c405-4a0e-a43a-f142be22efb3 · outbound

This paper cites Curvature bound of Dyson Brownian Motion.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Curvature bound of Dyson Brownian Motion

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:12:43.006668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1d85f370-a1e5-4feb-8981-964a88b08dc0 · outbound

This paper cites Optimal transport, old and new , volume 338 of Grundlehren der mathematischen Wissenschaften.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Optimal transport, old and new , volume 338 of Grundlehren der mathematischen Wissenschaften

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:43.787140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f0df94ea-c59a-4a69-930e-b34c5733bb93 · outbound

This paper cites Equivalent semigroup properties for the curvature-dimension condition.

A phase transition in the Bakry-\'Emery gradient estimate for Dyson Brownian motion Equivalent semigroup properties for the curvature-dimension condition

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:12:43.583091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.