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Paper Citation Record · LEDGER

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling

As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.13788.

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

pith.paper-citation-record.v1
2411.13788 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:19:08.016433Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy20
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 75a77922-b6e0-4de0-970b-fede1b74574c · outbound

This paper cites Bakry, F.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Bakry, F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.335705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.922235Z digest=sha256:a1b62c7c66b434669cf73de503c543271b13b6013a0b586d392dc9f42aaacafd

Observation 5de40a0a-bc6f-4c1e-a5c2-3cbcabb4e6c4 · outbound

This paper cites Bakry, I.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Bakry, I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.323159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.926519Z digest=sha256:cec8e07c4ee70fe893a065f67a3c90c58e0e4d36d421a4a384a07c806603c70a

Observation 08496299-478b-4865-9503-a11a40bc0f75 · outbound

This paper cites Bakry, M.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Bakry, M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.309477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.929824Z digest=sha256:ac4e07e014719abec42d2adbc897c40d4625024cbae5714a1abc9603fd5ac7a7

Observation f4609450-5037-492a-9f25-5124a4f9c793 · outbound

This paper cites Baudoin and N.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Baudoin and N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.287766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.936989Z digest=sha256:9d91541035e2762301eb6a561f6f8ac363185552f93587575c2aa185ade930ee

Observation 070894f0-4515-4c5d-9f55-475fe87abe91 · outbound

This paper cites Baudoin, Bakry- ´Emery meet Villani , J.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Baudoin, Bakry- ´Emery meet Villani , J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.276459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.940398Z digest=sha256:bde06ca0716383ea474853105f4a58ab9df47e236f0521dd227e91ab269f3b1b

Observation 5589479a-f0a9-44be-8592-546af81f33c1 · outbound

This paper cites Baudoin and M.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Baudoin and M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.265123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.943862Z digest=sha256:4a94edefffba9babc9d97cb165e88fc120be9578cd9004cbdb6e09f728afa7a4

Observation 6204d73f-2123-4ed7-b63e-8cd93265e8ed · outbound

This paper cites Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Functional inequalities for a family of infinite-dimensional diffusions with degenerate noise

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-12T16:19:08.053164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.947447Z digest=sha256:91f22b1464feafc7795aaf901a1cefb1fb7893e67bb1e0ff3374a16cbc4de41e

Observation 3ec0e5a0-1932-4dc1-94a2-04561f3c487f · outbound

This paper cites Baudoin, M.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Baudoin, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.253808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.952244Z digest=sha256:90865cf000204965fe5e882169e9af4e2e254296dc5fb6aae34f702df6ccae55

Observation 679b948a-3903-4d44-ab24-dfa83aa68ff9 · outbound

This paper cites Baudoin, M.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Baudoin, M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.242394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.955875Z digest=sha256:14b3c1868492aea875ca3ee070f0358bae78960d6ee03602dd9242b9e691d3b9

Observation e9730b34-9143-4225-821c-e6907d0b148b · outbound

This paper cites Garofalo, E.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Garofalo, E

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.230795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.959654Z digest=sha256:0626a2261d627234845d8164b8484f4f40cb68e358ff1733bdad030dcbdf338a

Observation 3e3b9f11-3811-4943-ad85-8ebadbd402cf · outbound

This paper cites Guillin, F.-Y.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Guillin, F.-Y

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.220037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.963199Z digest=sha256:603fef2211a0d1a8f7bd8e3d76606edf8c82fecadc2e7a4c1924bbda6baa5c96

Observation e0b54a0e-74fb-47bb-86fc-ca5040517b74 · outbound

This paper cites an unresolved cited work.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:19:08.210104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.966868Z digest=sha256:44378b44ceef0be03ea15b1254e3814305e78d31435a87182830ac7c50f374f4

Observation 8c467a6f-9cf2-47a0-8dd7-497897055302 · outbound

This paper cites an unresolved cited work.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:19:08.199987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.971008Z digest=sha256:2677ece4cf3a0ebe977d15de692133340d1b74d175f90ed1bfaef2e96518c103

Observation 1d821187-2607-4a64-8055-a04700a24098 · outbound

This paper cites H¨ ormander,Hypoelliptic second order differential equations.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling H¨ ormander,Hypoelliptic second order differential equations

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.189513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.974521Z digest=sha256:aad0f540f6def95dca2cd02abe9325b0bf012e9ba6ff3dcc8d34b739a031a2bf

Observation 07cb5200-b276-4f27-9e3c-b9eb2d0efe7c · outbound

This paper cites Huang, A matrix differential Harnack estimate for a class of ultrapa rabolic equations, Potential Anal.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Huang, A matrix differential Harnack estimate for a class of ultrapa rabolic equations, Potential Anal

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.178597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.978045Z digest=sha256:dc8851e5fcec796f2358415ac02d876a9e308192268abc771ae4885511ff4b8c

Observation a479d162-6f9d-4c87-8570-f0175d51c382 · outbound

This paper cites an unresolved cited work.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:19:08.167846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.981431Z digest=sha256:d2fa9f0507ba02919905b3e8c92589c077ff996e7ba8598a310d2d5f8cbbbb03

Observation e2a20961-8575-4722-a65b-22fddf0b1b22 · outbound

This paper cites Lanconelli, A.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Lanconelli, A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.157417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.985473Z digest=sha256:5ca7541f7dfa5616485bb65309a0222480060f33e4bae4059b0bd3b8062150bb

Observation e9478f64-9831-4ebb-bf90-a1efa7b43a6f · outbound

This paper cites an unresolved cited work.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:19:08.146468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.989933Z digest=sha256:e8513dfa2fcb5fb56a222854dd1951deefdc046edb8c8abc31348c5fbf909a89

Observation 45b0b516-6416-413b-a353-0adad7d0397b · outbound

This paper cites Kolmogoroff, Zuf¨ allige Bewegungen (zur Theorie der Brownschen Bewegung).

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Kolmogoroff, Zuf¨ allige Bewegungen (zur Theorie der Brownschen Bewegung)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.131526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.993673Z digest=sha256:c1116996a2d1024b0cc6c67c30173c20772f05934253a0c8cc122d471c67c3bb

Observation aaca48cb-a6c0-4e11-9c7d-38828f9a1c23 · outbound

This paper cites Lanconelli, S.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Lanconelli, S

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.119732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.997455Z digest=sha256:97d05678c65a429951d98d34cedeb923d45a4d1a5d91d27509a79d3739917082

Observation ba002e09-eb24-45b0-90c5-142e6aa70299 · outbound

This paper cites Pascucci, S.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Pascucci, S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.108299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:08.000885Z digest=sha256:2ca672555596883ee798ce8af3e5fd8f5964b636d1cb52a7f7d612976d8abb32

Observation ad4aee3d-4c3b-430d-a669-21ec31068b88 · outbound

This paper cites Polidoro, Uniqueness and representation theorems for solutions of Ko lmogorov-Fokker-Planck equations.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Polidoro, Uniqueness and representation theorems for solutions of Ko lmogorov-Fokker-Planck equations

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.097146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:08.004567Z digest=sha256:253fa7096d22e6e2f176ac0dfa8d1e7406e5b69872f4b32aba463ad89fbf9db2

Observation a4da0b44-b393-4843-8b54-1717e91ae2a4 · outbound

This paper cites Qian, B.B.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Qian, B.B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.085757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:08.008111Z digest=sha256:3a826d65ade92c01391e51c758a7fc7827a494dfad8a8113943172c8904d31d4

Observation 8d9e7d0f-3314-44e6-9f69-be201c3efb3b · outbound

This paper cites Qian, B.B.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Qian, B.B

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.075351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:08.012591Z digest=sha256:62d2b2016cb74de39d423c3a68a8fe418c4b6da3c25f07533ecb7eb818ceec5c

Observation 14f09f74-079d-4a12-b128-32bf30fdad37 · outbound

This paper cites Wang, Analysis for Diffusion Processes on Riemannian Manifo lds, Advanced Series on Sta- tistical Science & Applied Probability 18.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Wang, Analysis for Diffusion Processes on Riemannian Manifo lds, Advanced Series on Sta- tistical Science & Applied Probability 18

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:19:08.065470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:08.016433Z digest=sha256:908e64ef30b60bec8af72903ed2c1be882debc35611ba14fa90b9f83fae9d4f6

Observation 09a2f34e-c90b-4f06-973b-d6034943508f · outbound

This paper cites an unresolved cited work.

Gradient bounds and Liouville property for a class of hypoelliptic diffusion via coupling Unresolved cited work

Reference 206

Resolution
unresolved
raw_fallback, observed 2026-08-12T16:19:08.297910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T16:19:07.933214Z digest=sha256:ba89061faf0965d860576aa44c4ee3ce2b2fa84c78983e7bc8d6527e982e05e1

Pith citing papers

No inbound Pith citation observations are available.