Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:03:42.423139Z
Paper Citation Record · LEDGER
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces
As of 16 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 1 inbound Pith citation observation for arXiv:2505.03202.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T16:38:19.319869Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T08:26:01.303546Z
Reference resolution
61 of 61 outbound references displayed
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- unresolved33
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a50b0fb5-bb22-4355-bd37-bf0d5f63bc39 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 1
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Observation 53dbe0ef-dce5-48f0-ab42-b7227ff4db9e · outbound
This paper cites Duke Math.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Duke Math
Reference 2
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Observation c074e834-18b8-4681-bfe6-fbefa03f2eb1 · outbound
This paper cites S´ eminaire de probabilit´ es, XIX, 1983/1984.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces S´ eminaire de probabilit´ es, XIX, 1983/1984
Reference 3
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Observation d343a8da-3680-4929-92ce-9b42bd003a8a · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 4
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Observation 2e68a366-dbbd-45a8-bc85-996e46fd77fc · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 5
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Observation bcc8a1cb-c721-4c3d-bcce-dae255b32b40 · outbound
This paper cites Perelman's entropy and heat kernel bounds on RCD spaces.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Perelman's entropy and heat kernel bounds on RCD spaces
Reference 6
- Resolution
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Source-reported events for the cited work
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Observation 1c7f7d8f-8d3c-456e-b5d3-2f70664632f8 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 7
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Observation da1f5a93-bf3a-48f0-b56e-5d604e745173 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 8
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Source-reported events for the cited work
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Observation 2d39a3f9-6a1e-4935-8f0c-b59ba5777e42 · outbound
This paper cites Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
Reference 9
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Unavailable: canonical work link unavailable.
Observation 1882c443-532b-4b7d-b867-d67da8c78ca7 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 10
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Observation 002ea708-9e2b-4cf0-95fc-ab59edbbc5c4 · outbound
This paper cites S.-T.: A lower bound for the heat kernel.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces S.-T.: A lower bound for the heat kernel
Reference 11
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 21f8854c-fd50-44ca-913f-b43109c180c5 · outbound
This paper cites B., Lu, P., Ni, L.: Hamilton’s Ricci Flow, Lectures in Comtempo rary Maths., Sciences Press, Beijing, Amer.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces B., Lu, P., Ni, L.: Hamilton’s Ricci Flow, Lectures in Comtempo rary Maths., Sciences Press, Beijing, Amer
Reference 12
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Observation 654c93d0-8174-4c32-9ae0-10f86570d548 · outbound
This paper cites The Globalization Theorem for the Curvature Dimension Condition.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces The Globalization Theorem for the Curvature Dimension Condition
Reference 13
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Source-reported events for the cited work
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Observation 781b60be-73e1-473e-af6e-748a663af868 · outbound
This paper cites IEEE Trans.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces IEEE Trans
Reference 14
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Observation 27c33587-6592-4d3d-89ed-cc83e2f628f8 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 15
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Observation f5a43929-f7bf-44f5-bd59-0ef7bc3b1842 · outbound
This paper cites Cambridge Unive rsity Press, Cambridge (1990).
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Cambridge Unive rsity Press, Cambridge (1990)
Reference 16
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Observation 688b559c-97cf-4f49-b649-f5c28618911e · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 17
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Observation 0750e965-579a-4686-a39a-a70cec096ca9 · outbound
This paper cites De Gruyter Studies in Mathematics.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces De Gruyter Studies in Mathematics
Reference 18
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Observation f48fdcfa-79ce-4d07-b1a9-8b730829525e · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 19
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Observation d8b68726-4fb4-460e-8190-bc85a5385ae7 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 20
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Observation ea0b9fd4-9e11-4682-8ed1-1440f074a3af · outbound
This paper cites Hamilton, The formation of singularities in the Ricci flow, Surv eys in Differential Geometry, 2, 7-136, International Press, 1995.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Hamilton, The formation of singularities in the Ricci flow, Surv eys in Differential Geometry, 2, 7-136, International Press, 1995
Reference 21
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Observation bcf6edf1-062c-4556-a898-c0ecfb84974f · outbound
This paper cites Discrete Contin.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Discrete Contin
Reference 22
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Observation 51b6c43c-5eb2-4250-90c9-e6b6e7ba7e6d · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 23
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Observation b6457b8a-6827-424f-bfb0-801a42a26f1c · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 24
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Observation 2d13277b-4396-4589-bb4f-369aa2955ef9 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 25
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Observation 9ef85dd3-663e-4220-88e2-f8faed1bc37a · outbound
This paper cites Kleiner, J.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Kleiner, J
Reference 26
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Observation 1df1fb2c-1e01-4b4e-ac42-be520952d35a · outbound
This paper cites Manuscripta Math.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Manuscripta Math
Reference 27
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Observation c743a0cb-e1f6-45f4-9801-c908cd88c0a5 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 28
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Observation ab4f1057-d2a6-4d64-ada0-d7ba978974e2 · outbound
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On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Pure and Appl
Reference 29
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Observation fe20f842-e876-404b-8717-48ea071b9b02 · outbound
This paper cites Pacific J.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Pacific J
Reference 30
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Observation 28fa93db-1263-4bd7-b375-03cce8c72de4 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 31
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Observation 223d96b5-93e3-4ff9-9515-b2b3e771bc33 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 32
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Observation 1615d88c-4618-4006-be16-9c83b7ad2fe8 · outbound
This paper cites On the Renyi entropy power and the Gagliardo-Nirenberg-Sobolev inequality on Riemannian manifolds.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces On the Renyi entropy power and the Gagliardo-Nirenberg-Sobolev inequality on Riemannian manifolds
Reference 33
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Observation d6fb511a-38d7-4863-aacc-2674a156f00f · outbound
This paper cites 61 (2018), 1 385-1406.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces 61 (2018), 1 385-1406
Reference 34
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Observation b5075c66-f14c-4a28-b82e-02f04bb2a40a · outbound
This paper cites 49 (2019), no.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces 49 (2019), no
Reference 35
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Observation 13d570ba-ce7f-4dac-ab0b-6736776bdb59 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 36
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Observation 282b1dcf-33e6-4508-8f0b-769a3a1d1353 · outbound
This paper cites Tohoku Math.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Tohoku Math
Reference 37
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On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 38
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Observation 9917ba34-a100-4ef0-bf5a-2b9566d4cb71 · outbound
This paper cites Li, Perelman’s W-entropy for the Fokker-Planck equation over complete Riemannian man- ifolds, Bull.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Li, Perelman’s W-entropy for the Fokker-Planck equation over complete Riemannian man- ifolds, Bull
Reference 39
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Observation cba99601-873c-4157-88ba-79fe945ea6cb · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 40
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Observation 99b86fdd-1565-4a57-8edb-73b95e7a2410 · outbound
This paper cites Li.: Sobolev inequalities on forms and Lp,q - cohomology on complete Riemannian manifolds, J Geom Anal (2010) 20: 354-387 DOI 10.1007/s12220-009-9114- 7.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Li.: Sobolev inequalities on forms and Lp,q - cohomology on complete Riemannian manifolds, J Geom Anal (2010) 20: 354-387 DOI 10.1007/s12220-009-9114- 7
Reference 41
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Observation 34f5184d-46ad-4429-9aa2-75030586fdaf · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 42
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Observation 510b6f6e-2ce0-4f20-b02f-c8771d72e9d4 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 43
- Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 180849f7-f6eb-4b9f-bdd4-0cec1bb6cf5a · outbound
This paper cites The Globalization Theorem for CD(K,N) on locally finite Spaces.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces The Globalization Theorem for CD(K,N) on locally finite Spaces
Reference 44
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ddf94d2d-b237-4723-b1b4-2aabed16dab4 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 45
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 92f34966-a23a-4a18-9ab9-ca251548f60f · outbound
This paper cites On the $W$-entropy and Shannon entropy power on RCD$(K, N)$ and RCD$(K, n, N)$ spaces.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces On the $W$-entropy and Shannon entropy power on RCD$(K, N)$ and RCD$(K, n, N)$ spaces
Reference 46
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 50451596-3ab5-4ff5-bb1c-222abaad7bcb · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 47
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f9fc9a2-9c8a-4a83-ae21-eff7e56f8b93 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 48
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Observation 208404f3-b4e4-4c6f-ae82-3c32670b2569 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 49
- Resolution
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Observation 2649d2e2-93b4-4166-9387-9abc11ec2f8d · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 50
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 207007f2-9e20-42f1-a89c-497c9dfc2810 · outbound
This paper cites , http://arXiv.org/abs/maths0211159.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces , http://arXiv.org/abs/maths0211159
Reference 51
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T00:03:44.330831Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2d5f362f-c365-472e-a556-93d7a284186a · outbound
This paper cites The entropy formula for linear equation.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces The entropy formula for linear equation
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T00:03:44.473807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation de49e59f-fac4-4a69-a4fa-249c0b0de313 · outbound
This paper cites Bell Sys tem Tech.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Bell Sys tem Tech
Reference 53
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T00:03:44.077451Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0e90311e-a6e5-4917-b631-a7ad03cec38a · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 54
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T00:03:44.178748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ad712272-e916-4b72-8f8a-cb7ff9abf025 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 55
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5fb0ab54-9f9d-48c6-aa56-a3889ab986d1 · outbound
This paper cites Acta Math.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Acta Math
Reference 56
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T00:03:44.000817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2dc53b28-81fc-4825-b994-711df328b25f · outbound
This paper cites Nonlinear Anal.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Nonlinear Anal
Reference 57
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T00:03:43.593553Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a2d91a6e-e24d-423e-99fd-1499681b3ce1 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 58
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 65d9f3df-9739-4a4a-a1ab-985314d9dc34 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 59
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2ac92fae-ccab-435b-bef9-523d40cb80a1 · outbound
This paper cites The Log Entropy Functional Along the Ricci Flow.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces The Log Entropy Functional Along the Ricci Flow
Reference 60
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T00:03:42.691043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09a50f45-ff48-4469-a003-b5bbcfce2274 · outbound
This paper cites an unresolved cited work.
On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Unresolved cited work
Reference 2008
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T00:03:45.563903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
Observation 2bc1cec9-8a45-460f-acd2-38d345e011b2 · inbound
On weak formulations of (super) Ricci flows cites this paper.
On weak formulations of (super) Ricci flows On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T08:26:01.308615Z
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.