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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.922235Z digest=sha256:5e09b473288becf9c0cd6c1d1d097eeb3576ac69b15481cc618e65628f16642f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.926519Z digest=sha256:ae48552177145b97dc97aad778f4ef6e4104a0712281740280c79b0ab8ac42bb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.929824Z digest=sha256:6b6197f0294089d53f43dde14f0bf99235c74a56c8b9d17e669c1b9686b3362f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.936989Z digest=sha256:2e04add4c69bfc89632be5ec0de6cbe5616400d4026660bcc5b5cac3cb0e62ae

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.940398Z digest=sha256:06b4fae49de5d5e5750a21ba645b8a21d1a1bd59db7e4d6440ddc4e7eac865f4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.943862Z digest=sha256:bdcc3139d7b44d34346e6a2452eeda02f842dd1a25ad41d3fa41bb3df1e2931a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.947447Z digest=sha256:1b9053ec27b957744e20c8979e3019616994ece1b42985cb60beb01f5e89b5de

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.952244Z digest=sha256:57c8463f10047d7fa865867f1e5e354b662c937aceef273dc2e67edb890c0145

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.955875Z digest=sha256:128591f3cd761bf7de70f629398e9c9c48fca28727bd4974e964b8b5735cdc7a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.959654Z digest=sha256:25985bf509d710b83d9c2b43add84876e3ce175e057d3d375457e0e36bc3f509

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.963199Z digest=sha256:997a5b5947eb829f1a77591e70e46394c736c64a7f053ecd96176ac9181b551c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.966868Z digest=sha256:d4c8e1e2c45913a78ba4d9fd955bf986e73e42d6297a53e73de82339f30f00dc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.971008Z digest=sha256:90d9d908201090b172af90d7f6682361b18c704122c8c54961220dcbbbbff69a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.974521Z digest=sha256:2884d425563f7aabbb75159fe55d088e51925bbcdb5e0047f4187ecb831f8660

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.978045Z digest=sha256:54515e4d6a9f77655304c3ff090e6b43fb9ff7d1419d9e1a7f8eced1750cc1ee

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.981431Z digest=sha256:bb1e3ff5cc537651da41f8571e1dea16be88916babbaa6509de7efd458b2a8b0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.985473Z digest=sha256:3be30511f2abd03de405dc622161b4efb5c6a1dc3afafc455637bbcdcb16ca8c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.989933Z digest=sha256:bc9a791a54a4fa12c355c677c5cde886591b51b4449cdb06ab38eb5ef9760574

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.993673Z digest=sha256:38380b82c71c9f6fd57a19b973ae321f4a1ed469c08b315c6f92722c420f5d08

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.997455Z digest=sha256:7a79b8780a479262a01a5d54fecceabe4575282cb744ff2363fb7ef6e54ef2a9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:08.000885Z digest=sha256:50dc89b167e2cd99afc539195925f9cc8b8c32dee131abf1c4b4072699a68079

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:08.004567Z digest=sha256:c043a93ca4cfdc231eeed9059319663dc882a8ea582285e83fa582d45e94edf2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:08.008111Z digest=sha256:419526ed4ee67ead861f20ce70fe1e3e8eb1a5f3ec81bf217331bde5f8bd0101

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:08.012591Z digest=sha256:54e81a179f6a71647a16c5aa7651942de4ba3c10e4de8304c1b7f0d4e8e8bd8c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:08.016433Z digest=sha256:a27833647106288fc64372fbf51bb8d768692d82f64044c99ec635d69bdc0406

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:19:07.933214Z digest=sha256:84cdb94389ea91ced241e966f21dbde608d349b5a64e1af80457d036738d1626

Pith citing papers

No inbound Pith citation observations are available.