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Paper Citation Record · LEDGER

Exponential convergence for ultrafast diffusion equations with log-concave weights

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2507.13060.

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

pith.paper-citation-record.v1
2507.13060 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:44:51.861900Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:27:18.533124Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T22:27:18.568074Z

Reference resolution

37 of 37 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved13
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cf25ae83-7960-450a-8b2d-8612899506d3 · outbound

This paper cites Ambrosio, N.

Exponential convergence for ultrafast diffusion equations with log-concave weights Ambrosio, N

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 2026-08-21T06:32:19.484+00:00.

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Observation eeb91477-cfb0-4336-ae36-f5b1c2bb857b · outbound

This paper cites Blanchet, M.

Exponential convergence for ultrafast diffusion equations with log-concave weights Blanchet, M

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:48.887698Z digest=sha256:4e164cf83d4945f7092254da76db7d91d1a043e729427563801e2021342f7c01

Observation f2c250e9-f875-43da-9a36-d164493f4aab · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:57.134408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 94cba34f-b7ec-4669-99af-8d068eed350c · outbound

This paper cites Bonforte and J.

Exponential convergence for ultrafast diffusion equations with log-concave weights Bonforte and J

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.038425Z digest=sha256:deffdf2ea4dfb9860ed5ddb5dc84dca650e5555a26efa01f4e10008ca0f4e427

Observation 10a34b18-0845-4f3d-9a75-47128e77004b · outbound

This paper cites Bonforte and J.

Exponential convergence for ultrafast diffusion equations with log-concave weights Bonforte and J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:56.884359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.154422Z digest=sha256:cf5b43f25ba92f6d3e3d36eae8bdb5b209887f97e97b7397bc05d9114e26c732

Observation dbed8dd0-97a6-4ac9-a60e-51771c36a08c · outbound

This paper cites Bonforte and J.

Exponential convergence for ultrafast diffusion equations with log-concave weights Bonforte and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:56.775271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.223388Z digest=sha256:53cb2cc63cf95d694be25f3e4b53bc42afb4d50136f9a060d0be1707ef3f6321

Observation cf079c23-8870-4a5b-9c67-bb3adc2897db · outbound

This paper cites Bonforte, J.

Exponential convergence for ultrafast diffusion equations with log-concave weights Bonforte, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:56.617443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.293272Z digest=sha256:372f442b111887ecb8c91626aba49953b745fee27148ada17e29ec9b62430ddb

Observation cd407f2c-f7db-44d6-99a4-781678cea7ca · outbound

This paper cites Bonforte, J.

Exponential convergence for ultrafast diffusion equations with log-concave weights Bonforte, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:56.479400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.382558Z digest=sha256:49a095ea9076ce65f658aa7d687019ec3654ebe3c482f13ee28ce40b878afe06

Observation 4d80a1eb-7e32-4c8a-a98c-bb07bb10dd4e · outbound

This paper cites Bonforte and A.

Exponential convergence for ultrafast diffusion equations with log-concave weights Bonforte and A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:56.362292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.510883Z digest=sha256:e23dd576fde86cc6140fa31ea993eeedc830e75292e83150efa2c1b9f1a27ae8

Observation 1744bdf4-ea09-4328-8712-429b9820e963 · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:56.249229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0649cd5f-b64c-437b-b9f7-94c9d618f6be · outbound

This paper cites Caglioti, F.

Exponential convergence for ultrafast diffusion equations with log-concave weights Caglioti, F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:56.164798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.675802Z digest=sha256:2fcbd83a2341a8b1478f08963fddba2a1b8c6442d5de1d9aff337cfb4356077d

Observation f24ed812-4804-4a15-b76f-45470ebc67ad · outbound

This paper cites Caglioti, F.

Exponential convergence for ultrafast diffusion equations with log-concave weights Caglioti, F

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 01d879a2-6b09-4ad7-bbc3-2b9a1434f58c · outbound

This paper cites On Optimal Transport Maps Between 1 /d-Concave Densities.

Exponential convergence for ultrafast diffusion equations with log-concave weights On Optimal Transport Maps Between 1 /d-Concave Densities

Reference 13

Resolution
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no resolver link, observed 2026-08-06T16:44:49.845020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:44:49.845020Z digest=sha256:e3be84e070cf4ad426465c422634ec43ce63af48f414009daf0c018695116d44

Observation 629ff8b3-62e6-49b7-9a2b-bf65caea34e8 · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:55.905358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.901374Z digest=sha256:05961b66f3231b8efe10e87d4ce83f3643c9b43db0474d8ab18e32fa4c4c37a2

Observation 6269c540-ed3b-477e-b928-c396fd599f75 · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:55.777829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:49.994583Z digest=sha256:1286d17aeb75e269ac70ad026fb40ed182c65dedc3d65f32986a5d7ca65817f7

Observation 92c4ef08-ee92-4b7e-be1f-e821782c3927 · outbound

This paper cites Colombo, A.

Exponential convergence for ultrafast diffusion equations with log-concave weights Colombo, A

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.086428Z digest=sha256:f2a1d789219e54546844d4fae91fe6f2f95fff827fb0edb059fe6a595edf2335

Observation 2a86428b-98de-443e-b4c6-f2139d153ee9 · outbound

This paper cites Daskalopoulos and M.

Exponential convergence for ultrafast diffusion equations with log-concave weights Daskalopoulos and M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:55.420032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 77138908-9bc3-48f3-bba5-3c52452695ba · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:55.283747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.230036Z digest=sha256:2cae4ba9e7cfdbb0650f270e320facb5a9e0e50e2a4754652ed2182aae1a7509

Observation d410e294-2022-40cc-bbdc-3bdbd9c92441 · outbound

This paper cites Fathi, D.

Exponential convergence for ultrafast diffusion equations with log-concave weights Fathi, D

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.314442Z digest=sha256:6e48a1fe2d55721cf07c7d9bbcf74eca9a441c416f181e5d9dca5e821b79319e

Observation 4fddfa61-6177-4a97-a4d3-21eff22337d1 · outbound

This paper cites Graf and H.

Exponential convergence for ultrafast diffusion equations with log-concave weights Graf and H

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:54.861277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.396484Z digest=sha256:48df6a9d13baab1acd89f3f7dff7ee621a988fcf1db1ec78cbe881439a500cbb

Observation 3fa1f6a7-c080-4ea7-b521-4c0dc9c1b914 · outbound

This paper cites Golse,Quantization of probability densities: a gradient flow approach, inFrom par- ticle systems to partial differential equations, Springer Proc.

Exponential convergence for ultrafast diffusion equations with log-concave weights Golse,Quantization of probability densities: a gradient flow approach, inFrom par- ticle systems to partial differential equations, Springer Proc

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:54.669398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.491822Z digest=sha256:9a85448a6a73b6f2cd0ca04f4841913309c9a9dd4773cd58b81c733e48131c93

Observation bbb9ce4c-2f4b-4225-98a4-65844d5fabb0 · outbound

This paper cites Iacobelli, Asymptotic analysis for a very fast diffusion equation arising from the 1D quantization problem, Discrete Contin.

Exponential convergence for ultrafast diffusion equations with log-concave weights Iacobelli, Asymptotic analysis for a very fast diffusion equation arising from the 1D quantization problem, Discrete Contin

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:54.498255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.622344Z digest=sha256:f1f0246bcfc84402891446dc723153cd20a3d399c1e3b2c2df648fc1e78c95b0

Observation e00bc900-931d-4e18-8b36-d442425241b0 · outbound

This paper cites Iacobelli,A Gradient Flow Perspective on the Quantization Problem, PDE Models for Multi-Agent Phenomena, Springer INdAM Ser.,vol.

Exponential convergence for ultrafast diffusion equations with log-concave weights Iacobelli,A Gradient Flow Perspective on the Quantization Problem, PDE Models for Multi-Agent Phenomena, Springer INdAM Ser.,vol

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:54.257244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.713922Z digest=sha256:70a6a68d649b966e70fbddc8d3907e1e257caafcf44f01c20d395b39ec8d6ef2

Observation db37bef7-f2d1-4525-ac89-5b00ef895cbc · outbound

This paper cites Iacobelli, F.

Exponential convergence for ultrafast diffusion equations with log-concave weights Iacobelli, F

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:54.139390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.788079Z digest=sha256:c264f2944d015a6038bb6eaa241ac87f8ff93bde48ac08d946d281a541f864ef

Observation 00455825-f878-4f09-b0d7-805911ad8bdb · outbound

This paper cites Jüngel, Entropy methods for diffusive partial differential equations.

Exponential convergence for ultrafast diffusion equations with log-concave weights Jüngel, Entropy methods for diffusive partial differential equations

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:53.993455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.863186Z digest=sha256:5c3df9163b68f9cdc8ed17714c4ce4dafe1efadb82c4c031471e2203706c9bf5

Observation 181a85dd-cc79-46eb-86c7-3eaad7bd8ab3 · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:53.760207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:50.958845Z digest=sha256:3e3be3cec804eeca963f1be5bca734324035fb46eeb9d6bc4c32e8e30c733e95

Observation 14dbf084-bd5d-45a8-887f-9c81dc6e87e2 · outbound

This paper cites Milman, Spectral estimates, contractions, and hypercontractivity, J.

Exponential convergence for ultrafast diffusion equations with log-concave weights Milman, Spectral estimates, contractions, and hypercontractivity, J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:53.591755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.107087Z digest=sha256:69d59c1d319ab6474da7481c70870384f2a74338a1aeb0c8f1aba42b432c15b2

Observation c357afb0-c6a2-4c8c-9012-37bed7167930 · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:53.429950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.162017Z digest=sha256:8b15b3270f2e19e01d9d160078471316673a99df7c58386a0eec5ff3675fdbb1

Observation 2140bf7c-ef6d-4f90-a39d-76b7a020949f · outbound

This paper cites Otto and C.

Exponential convergence for ultrafast diffusion equations with log-concave weights Otto and C

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:53.257414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.236066Z digest=sha256:1d0bbde99254eddd4f45a786a5c6bdc29c48fbc82b96660873a4673a9b82f617

Observation ac2ed11c-9c93-4244-b7b9-17510820264b · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:53.102754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.317274Z digest=sha256:7ecfc04c9d4b06a67a56aed57879a3b5fb7ebc3877e45a86c1b9571d3c9c7da3

Observation 301082be-11fd-4e46-b688-f9d7f6306e29 · outbound

This paper cites Rodríguez and J.

Exponential convergence for ultrafast diffusion equations with log-concave weights Rodríguez and J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:52.922850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.384718Z digest=sha256:9a8f5db113a182ac61ecdaf7dff38445efcb4893d1c2fa925b297e44ccf9da78

Observation 6fac6e82-33b2-4cc7-bdf7-7d8f0e1537d4 · outbound

This paper cites Salvarani and G.

Exponential convergence for ultrafast diffusion equations with log-concave weights Salvarani and G

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:52.748821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.456436Z digest=sha256:84845dcc07d88b36096feb3f5719105073b46f866f45b6445ba4473984883a2e

Observation b1a8b6a1-620f-41ed-880c-b737b24bf0aa · outbound

This paper cites Villani,Topics in Optimal Transportation, Graduate Studies in Mathematics, vol.

Exponential convergence for ultrafast diffusion equations with log-concave weights Villani,Topics in Optimal Transportation, Graduate Studies in Mathematics, vol

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-06T16:44:51.528995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:44:51.528995Z digest=sha256:a5f64afa875cd64136038acf8623d28ae1ed434863dd25592a224970ae82ff33

Observation be422970-ff25-4a3f-8f6b-7a77e5a3e5d9 · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:52.595481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.635344Z digest=sha256:474e51fdf33b147a6d21eec4576880db537a3a3f1b1dfbbede72a0ddbbb6e089

Observation 1fd50958-9bac-471d-9009-03e292cfb7cb · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:52.407180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.712030Z digest=sha256:bab15356d775f85361670dc4ff74bb0cc90e85428200f904fd31ac7ef0ceefd3

Observation 2eaba211-24ca-4cb8-aa25-4e5fd9ea2dc9 · outbound

This paper cites an unresolved cited work.

Exponential convergence for ultrafast diffusion equations with log-concave weights Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-06T16:44:52.269440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T16:44:51.781819Z digest=sha256:15bf22495ec307013aa48e7592357c165c6372a47c28bf892ce29791dba71184

Observation 78e8a207-0b67-4111-b400-074f6f8d5ca2 · outbound

This paper cites Villani, Optimal transport.

Exponential convergence for ultrafast diffusion equations with log-concave weights Villani, Optimal transport

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:44:52.111004Z

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Pith citing papers

Observation fb7368fd-3199-40ce-8f5c-901c482653f8 · inbound

On the exponential convergence to equilibrium for ultrafast diffusion equations cites this paper.

On the exponential convergence to equilibrium for ultrafast diffusion equations Exponential convergence for ultrafast diffusion equations with log-concave weights

Reference 6

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verified exact
local_arxiv, observed 2026-08-04T22:27:18.574072Z

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source=arxiv_source observed=2026-08-04T22:27:18.533124Z digest=sha256:ae30003836e3da068f241f86b59e89636fdaca6e02532d99b539c898d8a0902f