Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-19T18:29:52.546159Z
Paper Citation Record · LEDGER
The fractal dimension of Brownian dynamics in liquids
As of 22 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2605.16252.
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 2026-08-22T06:32:14.747728+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
52 of 52 outbound references displayed
- verified exact1
- verified fuzzy33
- unresolved17
- parse uncertain0
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- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 32911884-c9bb-40fb-929c-ae3c4f4132cc · outbound
This paper cites In the Einstein-Langevin approach, the dynamics are Markovian and the particle’s velocity is a stochastic pro- cess possessing the fractal dimension dv = 3 / 2.
The fractal dimension of Brownian dynamics in liquids In the Einstein-Langevin approach, the dynamics are Markovian and the particle’s velocity is a stochastic pro- cess possessing the fractal dimension dv = 3 / 2
Reference 1
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 897d945e-56f4-4ddc-b431-a496203bee44 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 2
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4c49676b-54e1-4b54-977a-f30a0cd894ed · outbound
This paper cites Moreover, it follows from eq.
The fractal dimension of Brownian dynamics in liquids Moreover, it follows from eq
Reference 3
- Resolution
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- raw_fallback, observed 2026-05-19T18:32:43.734409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a3f6ed9c-252e-4c8e-937b-57b653fbc30a · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 4
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2ca32752-faa4-4b9b-b0c2-ee8f7a18ab46 · outbound
This paper cites Boynewicz et al.
The fractal dimension of Brownian dynamics in liquids Boynewicz et al
Reference 5
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5a1180b4-a313-44b3-a5ad-9420969adaaf · outbound
This paper cites 32 mPas) at constant temperature T = 293 K.
The fractal dimension of Brownian dynamics in liquids 32 mPas) at constant temperature T = 293 K
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.721914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b0148bda-efbc-4bf6-8555-3ec665bde751 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.704985Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 289ceea1-1619-4f00-911d-e563408662c8 · outbound
This paper cites Chandrasekhar, Stochastic Problems in Physics and Astronomy, Rev.
The fractal dimension of Brownian dynamics in liquids Chandrasekhar, Stochastic Problems in Physics and Astronomy, Rev
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.706743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 38a8d2cc-63c0-4afc-8e6c-62367d89ba2b · outbound
This paper cites Nelson, Derivation of the Schr¨ odinger equation from Newtonian Mechanics, Phys.
The fractal dimension of Brownian dynamics in liquids Nelson, Derivation of the Schr¨ odinger equation from Newtonian Mechanics, Phys
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.710063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 47b93513-2782-4464-a9bb-c5c776fc6607 · outbound
This paper cites Frey, and K.
The fractal dimension of Brownian dynamics in liquids Frey, and K
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.708299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6d41dce4-6999-4a63-b3b6-e1d35f514ea5 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 11
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6bf272cb-e88a-4743-a4a7-f62c435012cd · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.699968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b4a9d862-5295-4825-b59a-0ae7b254e78e · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 13
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8a7df0c5-558a-4202-a8ab-e56defdd0660 · outbound
This paper cites Huang, I.
The fractal dimension of Brownian dynamics in liquids Huang, I
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.698233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 98be148b-f7ec-404a-9a1b-5ef5638a9c7b · outbound
This paper cites Franosch, M.
The fractal dimension of Brownian dynamics in liquids Franosch, M
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.711986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 61a10a54-0fab-49c1-9389-38aef8f8ebbd · outbound
This paper cites Kheifets, A.
The fractal dimension of Brownian dynamics in liquids Kheifets, A
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.723548Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8ed8998e-587f-43e8-93e2-beb0e896c6a7 · outbound
This paper cites Boynewicz, M.
The fractal dimension of Brownian dynamics in liquids Boynewicz, M
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.726853Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3c0d2851-b0a1-42cc-9320-0ae68893e924 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.683013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 151773ef-34aa-4d0f-9bd4-74789f66fd14 · outbound
This paper cites Widom, Velocity Fluctuations of a Hard-Core Brow- nian Particle, Phys.
The fractal dimension of Brownian dynamics in liquids Widom, Velocity Fluctuations of a Hard-Core Brow- nian Particle, Phys
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.684840Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 22fd571c-ea83-4f81-a7df-5cb6389313dd · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.681260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b7df2e5e-c98b-439b-8a7b-997ec0caed6f · outbound
This paper cites Mo, and M.
The fractal dimension of Brownian dynamics in liquids Mo, and M
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.696552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2375ccb7-1e82-4a61-a011-784c231eab6b · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.701643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d07a1c79-9323-4c18-b6bc-6f36686f6293 · outbound
This paper cites Giona, G.
The fractal dimension of Brownian dynamics in liquids Giona, G
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.688132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f7b7e7b3-e6b6-46a1-b075-0a02a5a61ba2 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.679645Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d6689e05-c2dd-449b-b402-7e2ac7068565 · outbound
This paper cites Kim, and S.
The fractal dimension of Brownian dynamics in liquids Kim, and S
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.693130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f4ec047a-4f93-4ea7-9cde-7c75d9eb20a3 · outbound
This paper cites Onsager, and MS.
The fractal dimension of Brownian dynamics in liquids Onsager, and MS
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.671104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 583a611e-d4fc-48f6-b4e0-0b321d4815dd · outbound
This paper cites Grabert, and M.
The fractal dimension of Brownian dynamics in liquids Grabert, and M
Reference 27
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- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.672828Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 656a748a-ccb1-4ab9-9dbf-18cde5378df2 · outbound
This paper cites Grabert, R.
The fractal dimension of Brownian dynamics in liquids Grabert, R
Reference 28
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- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.657346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5f0e2885-95c6-4a62-83e0-965b3e8c9c77 · outbound
This paper cites Klafter, and I.
The fractal dimension of Brownian dynamics in liquids Klafter, and I
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.713703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c42dfd20-331e-4edc-bff6-f4318edd6144 · outbound
This paper cites Boynewicz, M.
The fractal dimension of Brownian dynamics in liquids Boynewicz, M
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.689761Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4d034990-3924-4bd7-96de-d0af2d4226f6 · outbound
This paper cites Duplat, S.
The fractal dimension of Brownian dynamics in liquids Duplat, S
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.676246Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2a54160f-48cf-41df-9078-7c8961f22962 · outbound
This paper cites Wang, and J.
The fractal dimension of Brownian dynamics in liquids Wang, and J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.720325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 33a3070e-77ba-482c-9bc8-174a20aa6151 · outbound
This paper cites Langevin, Sur la theorie du mouvement brownien, CR Acad.
The fractal dimension of Brownian dynamics in liquids Langevin, Sur la theorie du mouvement brownien, CR Acad
Reference 33
- Resolution
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- raw_fallback, observed 2026-05-19T18:32:43.665273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1f38f4f1-231b-44d3-b4a2-4cb5363fb1d8 · outbound
This paper cites Falconer, Fractal Geometry.
The fractal dimension of Brownian dynamics in liquids Falconer, Fractal Geometry
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.703289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fea2684a-5fa3-4ed7-8cf9-8f92a94671ed · outbound
This paper cites Kubo, The fluctuation-dissipation theorem, Rep.
The fractal dimension of Brownian dynamics in liquids Kubo, The fluctuation-dissipation theorem, Rep
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.667376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2bd1e7f1-76c9-45fe-a15f-38f7e4c25a41 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.669209Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7fb98a58-502b-4884-9971-a51f8b2c54ea · outbound
This paper cites Procopio, and M.
The fractal dimension of Brownian dynamics in liquids Procopio, and M
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.674518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d2833e9b-b03a-4b2b-8dfa-cfbdbaebd999 · outbound
This paper cites Monaco, A.
The fractal dimension of Brownian dynamics in liquids Monaco, A
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.663305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c7d5a24a-4737-430b-993b-e9bd212eb62c · outbound
This paper cites Fluid-particle interactions and fluctuation-dissipation relations I -- General linear theory and basic fluctuational patterns.
The fractal dimension of Brownian dynamics in liquids Fluid-particle interactions and fluctuation-dissipation relations I -- General linear theory and basic fluctuational patterns
Reference 39
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T18:32:43.113121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a3e23207-d967-4bd5-a958-75fe0bf9a6df · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.661325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cde72cfe-7b8f-43fb-8001-578daa6c8914 · outbound
This paper cites Tricot, Curves and Fractal Dimension (Springer- Verlag, New York, 1995).
The fractal dimension of Brownian dynamics in liquids Tricot, Curves and Fractal Dimension (Springer- Verlag, New York, 1995)
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.732709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 54a5d704-64ac-4631-9bab-8aaa2370c116 · outbound
This paper cites Higuchi, Approach to an irregular time series on the basis of the fractal theory, Physica D 31, 277-283 (1988).
The fractal dimension of Brownian dynamics in liquids Higuchi, Approach to an irregular time series on the basis of the fractal theory, Physica D 31, 277-283 (1988)
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.730745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5610ef70-e6e2-424e-b136-1008abe5342e · outbound
This paper cites Flyvbjerg and H.
The fractal dimension of Brownian dynamics in liquids Flyvbjerg and H
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.648371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation db631014-e7f3-4fe1-9fa6-55bd39798c2f · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 44
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.650154Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 42c3119b-fabd-49da-a8ac-e9871b2bd39a · outbound
This paper cites Stauffer and A.
The fractal dimension of Brownian dynamics in liquids Stauffer and A
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.652019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7755a2a8-6193-48bd-821a-f4f8a8f458c2 · outbound
This paper cites Kriecherbauer, and J.
The fractal dimension of Brownian dynamics in liquids Kriecherbauer, and J
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.653810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c2b9e515-da29-4da5-93c4-2fec6c1b0787 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.655606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9927d669-7165-4ee1-b0eb-2b0fc2ad87ae · outbound
This paper cites The Kardar-Parisi-Zhang equation and universality class.
The fractal dimension of Brownian dynamics in liquids The Kardar-Parisi-Zhang equation and universality class
Reference 48
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-05-19T18:32:43.110302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e30d1436-266d-4b6c-ab60-2de32674c8b3 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 49
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.677945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7a52b6a2-c408-4811-976a-40c69e25f4ba · outbound
This paper cites Thus L [ 1 − C(n) vv (t) ] ≃ ˆk(s) m s2 ∼ 1 s3/ 2 (28) and therefore, at short time scales 1 − C(n) vv (t) ∼ t1/ 2 (29) that implies ⟨(v(t + ∆ t) − v(t))2⟩eq ∼ ∆ t1/ 2 (30) i.e.
The fractal dimension of Brownian dynamics in liquids Thus L [ 1 − C(n) vv (t) ] ≃ ˆk(s) m s2 ∼ 1 s3/ 2 (28) and therefore, at short time scales 1 − C(n) vv (t) ∼ t1/ 2 (29) that implies ⟨(v(t + ∆ t) − v(t))2⟩eq ∼ ∆ t1/ 2 (30) i.e
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-19T18:32:43.728894Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7b3a2d1c-998c-49f9-a7bf-b7f43dfdf26f · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 51
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.725166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 769b8997-b654-4448-b541-3ac5730306c8 · outbound
This paper cites an unresolved cited work.
The fractal dimension of Brownian dynamics in liquids Unresolved cited work
Reference 52
- Resolution
- unresolved
- raw_fallback, observed 2026-05-19T18:32:43.718666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.