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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.922235Z digest=sha256:876d88e3fd29746cd565adf457ba1bfa68604812e42a76e7c6b40326f7ee4742

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.926519Z digest=sha256:5f05a98b0411f492d3a17c2b3e1c4cb88824d9d0f5217e22c5387a6cec3c4d9f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.929824Z digest=sha256:65326d55059c335a5c0b32ec98ac1e7ce3e7f42ecbf4504f4ff0272c7d9c2c79

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.936989Z digest=sha256:7f0eee5b7ff3ee9bbdeeea13e77e57f6841fee93bfcaf8bbe30f9f99566531ec

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.940398Z digest=sha256:f35a3ac8a2ef0e4d65afc8d9b44ebffbf4546e5c97873bec91a5fefa05113305

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.943862Z digest=sha256:1ade397cca2b1d07dad4c3bed31aba89859f29ec401a93c4d12d6faad0c49fd2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.947447Z digest=sha256:b0a2ea28a4f1e6a7c40fc8c3c5d71398e676cb61abdadfb2d162866001d5220d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.952244Z digest=sha256:36b141554c00678e804a082d34367871773dc21bb511ef3cc6e6356f919ff6dc

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.955875Z digest=sha256:cf6cbcf79f75dbb93dbc6ebbeb75851263b3afcfc84db38d9a28166593423d8e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.959654Z digest=sha256:74f61c8734f78bb63bd9ed92de0366c3939a2e0149f4cd8b97e12edc58d14248

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.963199Z digest=sha256:ea8361448bf553b255feea0f90676ce1b76594554ac107fdc53fd6fee94dd5e7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.966868Z digest=sha256:b74b0a3774e09e497d0e65e7d0117086fdcd293447ad50ad1ac6a74b094dc89c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.971008Z digest=sha256:da248810e737d239341bbc005ea2f27f58777fb588dd06bf1b051e7888c41e1b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.974521Z digest=sha256:8e0bbab6a137283ce69580b154783d956ce41691af1cea199baf75733c7980d8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.978045Z digest=sha256:6c124455745d1f7edd71551a8929924220598452163c19eda55644783e84f894

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.981431Z digest=sha256:0fe816b13bedd721aacf5bbd9ef762de34b0f739a3a2782f5a06168e61e0529c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.985473Z digest=sha256:142a680a27e33755a14cc120f777c0af5e0fe8024b2b20236307aea662264349

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.989933Z digest=sha256:2ac042c14e38c17695c85da774a25dc1e636890dc8d45b0d63d7fe77dbe3c4db

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.993673Z digest=sha256:0217b81a68a31a3a8a1fbe0cc5e92dd478e5896c447c59a25d83d898f5fa9a82

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.997455Z digest=sha256:d134fa416f7a82db70f03a6acb11998e149c4e5d2ce72d50387ba2a79c7622c9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:08.000885Z digest=sha256:578fa440480cacfef16c408f1d22e238c4641c7f09fdeeeb01d8a10867c64067

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:08.004567Z digest=sha256:526bc19b5d384908f45d118527d0838dcfe4427aa7ab7157118b9194f1538c4e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:08.008111Z digest=sha256:b8bae3ec70f5ab43211f635a57d79df4146c3d1f0661a7338e02e7cd3b448aa7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:08.012591Z digest=sha256:41e7ce06924345edd8206e598aebf8a8fb62e87a3a881fd91c906e0368a3f918

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:08.016433Z digest=sha256:152e87ccf7c147f334b932690a9e645d23d155e19cc2f72dff568db510677e4b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T16:19:07.933214Z digest=sha256:0a62132a5dfe01c06ae5c335a1f4eb64f382e8b4969ffee32a77463a40bd0e42

Pith citing papers

No inbound Pith citation observations are available.