Paper Citation Record · LEDGER

Functional dependence and synchronous coupling in ergodic autoregressions

As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.08567.

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

pith.paper-citation-record.v1
2607.08567 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T05:14:58.981450Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

21 of 21 outbound references displayed

verified exact1
verified fuzzy15
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29828e1b-322b-4c47-9ec3-265c922fe0f5 · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:16:48.257824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8f7df3d8-27d5-4c12-8876-bec395cda31e · outbound

This paper cites Springer Monographs in Mathematics.

Functional dependence and synchronous coupling in ergodic autoregressions Springer Monographs in Mathematics

Reference 2

Resolution: verified exact; doi, observed 2026-07-10T05:16:47.494612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bf227109-5d9f-460d-b6a9-a84b283353f6 · outbound

This paper cites Dedecker, P.

Functional dependence and synchronous coupling in ergodic autoregressions Dedecker, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.288786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3bc9dbe4-80b6-4a0c-9110-a91440ad85d4 · outbound

This paper cites Diaconis and D.

Functional dependence and synchronous coupling in ergodic autoregressions Diaconis and D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.263627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 01d49673-7733-4924-95ac-4245380cd03b · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:16:48.290718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1c6e6d6a-d93b-4692-8f91-de9983655a79 · outbound

This paper cites Doukhan.Mixing, properties and models, volume 85 ofLecture Notes in Statistics.

Functional dependence and synchronous coupling in ergodic autoregressions Doukhan.Mixing, properties and models, volume 85 ofLecture Notes in Statistics

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.292816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f2d58331-b5fe-4fdf-bdd3-83c862e43bc4 · outbound

This paper cites Doukhan and M.

Functional dependence and synchronous coupling in ergodic autoregressions Doukhan and M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.259764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3415dd3b-afef-4e90-a68e-550fa345a833 · outbound

This paper cites Doukhan, N.

Functional dependence and synchronous coupling in ergodic autoregressions Doukhan, N

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.261666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 11b330a3-b014-40a4-ab14-61826076e4fb · outbound

This paper cites Flandoli, B.

Functional dependence and synchronous coupling in ergodic autoregressions Flandoli, B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.296539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 18640d2b-fa21-42f2-be15-7b921928b87b · outbound

This paper cites Synchronization by noise.Proba- bility Theory and Related Fields, 168(3):511–556, 2017.

Functional dependence and synchronous coupling in ergodic autoregressions Synchronization by noise.Proba- bility Theory and Related Fields, 168(3):511–556, 2017

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.267252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4332578b-621e-4839-8ca9-3bba762afc78 · outbound

This paper cites Lyapunov exponents and synchronisation by noise for systems of spdes.The Annals of Probability, 52(5):1903–1953, 2024.

Functional dependence and synchronous coupling in ergodic autoregressions Lyapunov exponents and synchronisation by noise for systems of spdes.The Annals of Probability, 52(5):1903–1953, 2024

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.283084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b67c469f-caed-4086-9496-68fd92e60a62 · outbound

This paper cites De Gruyter Studies in Mathematics, 2018.

Functional dependence and synchronous coupling in ergodic autoregressions De Gruyter Studies in Mathematics, 2018

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.284870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 988c6025-d900-499c-b28f-afcd385d4440 · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:16:48.286937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f2289275-e741-4c89-8eea-cea27c2dcca7 · outbound

This paper cites Meyn and Richard L.

Functional dependence and synchronous coupling in ergodic autoregressions Meyn and Richard L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.294564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ec041bde-e69b-472b-8b4b-3ed61da53c61 · outbound

This paper cites Mokkadem.

Functional dependence and synchronous coupling in ergodic autoregressions Mokkadem

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.274281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ac681172-1cd7-4414-9317-a48c75c3b1c1 · outbound

This paper cites Necessary and sufficient conditions for stable synchronization in random dynamical systems.Ergodic Theory and Dynamical Systems, 38(5):1857–1875, 2018.

Functional dependence and synchronous coupling in ergodic autoregressions Necessary and sufficient conditions for stable synchronization in random dynamical systems.Ergodic Theory and Dynamical Systems, 38(5):1857–1875, 2018

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.279143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e79683c8-9e42-4375-9d41-a531a80a0a38 · outbound

This paper cites Nummelin and R.

Functional dependence and synchronous coupling in ergodic autoregressions Nummelin and R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.270637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 056b52fe-c9ec-4844-bf77-35e542e87c31 · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:16:48.269065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 894ce42f-5a54-4f0e-bbcf-1bb96e4d6bf7 · outbound

This paper cites Synchronization, lyapunov exponents and stable manifolds for random dynamical systems.

Functional dependence and synchronous coupling in ergodic autoregressions Synchronization, lyapunov exponents and stable manifolds for random dynamical systems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.272515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ea49b281-9c76-472a-9c0c-41d7453c6588 · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-07-10T05:16:48.281143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 63a9f07e-1b4b-4f69-9f57-eb931bd72561 · outbound

This paper cites Limit theorems for iterated random functions.Journal of Applied Probability, 41(2):425–436, 2004.

Functional dependence and synchronous coupling in ergodic autoregressions Limit theorems for iterated random functions.Journal of Applied Probability, 41(2):425–436, 2004

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T05:16:48.265431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.