Paper Citation Record · LEDGER

Asymptotic version of the parametrix method for Markov chains converging to diffusions

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 2 inbound Pith citation observations for arXiv:2505.24548.

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

pith.paper-citation-record.v1
2505.24548 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:24:19.201441Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T10:49:02.536965Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T07:47:45.203881Z

Reference resolution

27 of 27 outbound references displayed

verified exact0
verified fuzzy19
unresolved7
parse uncertain1
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fc050f69-2335-4bfa-9503-a98d4ed95c44 · outbound

This paper cites an unresolved cited work.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:24:24.122996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 510dceb2-35d9-427f-96d1-f15a22dabc4e · outbound

This paper cites Для оценки 1) применим разложение в ряд Тейлора первого порядка, а также п редполо- жение (A2) и оценку ( 2.4): 18.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Для оценки 1) применим разложение в ряд Тейлора первого порядка, а также п редполо- жение (A2) и оценку ( 2.4): 18

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:23.672988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eb3e4464-1c15-4397-8791-8408e3846f69 · outbound

This paper cites Далее, из разложения a1a2a3 −b1b2b3 = =(a1 −b1)a2a3 +b1(a2 −b2)a3 +b1b2(a3 −b3) аналогичным образом следует.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Далее, из разложения a1a2a3 −b1b2b3 = =(a1 −b1)a2a3 +b1(a2 −b2)a3 +b1b2(a3 −b3) аналогичным образом следует

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:23.830362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ef3a7d3e-452e-4962-8bdf-86b251f043f6 · outbound

This paper cites an unresolved cited work.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:24:21.995043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d61e6f08-c56d-4c34-968f-cad8fbbaa49d · outbound

This paper cites Доказательство.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Доказательство

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:23.992246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6a88f55a-5602-44fb-acd1-3992d8c174c7 · outbound

This paper cites замороженного.

Asymptotic version of the parametrix method for Markov chains converging to diffusions замороженного

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:23.509735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f776878f-644b-49d2-b18a-41fa7430d070 · outbound

This paper cites Локальная предельная теорема для возмущенн ых выборочных траекто- рий индуцированных порядковых статистик // Управление бол ьшими системами.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Локальная предельная теорема для возмущенн ых выборочных траекто- рий индуцированных порядковых статистик // Управление бол ьшими системами

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:23.280908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8f818b9b-cad8-40f3-9df6-675c9e0ba09c · outbound

This paper cites an unresolved cited work.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:24:22.560209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 746f9257-b2d4-4dca-89be-c4e337725f5d · outbound

This paper cites an unresolved cited work.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:24:22.291545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 17565a93-5c36-46ed-b7ce-4ebd8fea2dda · outbound

This paper cites an unresolved cited work.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:24:20.832664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 81e5dfc0-8996-4520-a909-9d3568a5ec14 · outbound

This paper cites and Konakov, V.

Asymptotic version of the parametrix method for Markov chains converging to diffusions and Konakov, V

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:21.766033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2594a224-4539-4495-8b32-0822ed412a72 · outbound

This paper cites and Rao, R.

Asymptotic version of the parametrix method for Markov chains converging to diffusions and Rao, R

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:21.500310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 47f863cd-9e75-4b96-90ef-55f24c12871b · outbound

This paper cites (1973), Concomitants of order statistics, B ull.

Asymptotic version of the parametrix method for Markov chains converging to diffusions (1973), Concomitants of order statistics, B ull

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:21.247914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation afe27a5c-64ba-41e6-9fab-d3d4a6be7205 · outbound

This paper cites and Galambos, J.

Asymptotic version of the parametrix method for Markov chains converging to diffusions and Galambos, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:21.077577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e2361da1-a456-4e7e-8186-9c7a65413541 · outbound

This paper cites and Egorov, V.

Asymptotic version of the parametrix method for Markov chains converging to diffusions and Egorov, V

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:20.952701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 393a1272-f3be-4119-919d-7e96c7af04fe · outbound

This paper cites Kozhina and S.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Kozhina and S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:20.173240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation baee6708-688a-499f-86c6-8465325dbc1e · outbound

This paper cites an unresolved cited work.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:24:20.694857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 57a6eb14-f18d-4a65-87ab-0e8749fcd22c · outbound

This paper cites Friedman, Partial Diﬀerential Equations of Parabol ic Type.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Friedman, Partial Diﬀerential Equations of Parabol ic Type

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:20.539947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 005521b3-bf41-45a1-b96c-7c2ea95739e4 · outbound

This paper cites Il’in, A.S.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Il’in, A.S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:20.410830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 15f01e4d-09ed-4d8f-a37f-03d50649d387 · outbound

This paper cites and Mammen, E.

Asymptotic version of the parametrix method for Markov chains converging to diffusions and Mammen, E

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T13:24:18.794616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd3d69bc-e69f-47b4-bda9-55a7c6a8a9c0 · outbound

This paper cites and Mammen, E.

Asymptotic version of the parametrix method for Markov chains converging to diffusions and Mammen, E

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:20.291466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ab08185b-76a2-434f-a892-f6b0606d49e9 · outbound

This paper cites Konakov, S.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Konakov, S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:20.027428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 78afd603-c77a-4ac2-a9ee-261f6c1dde40 · outbound

This paper cites Menozzi, A.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Menozzi, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:19.906190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd0564b1-6466-4e05-bc01-8f65950c2d24 · outbound

This paper cites Asymptotic methods for Stochastic diﬀe rential equations.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Asymptotic methods for Stochastic diﬀe rential equations

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:19.749564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7bc21e0d-ae87-4551-b3bd-b3e69bdb3ada · outbound

This paper cites Studies in the theory of random processe s.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Studies in the theory of random processe s

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:19.630498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 297bba4b-6dc2-424b-ac3e-6cd4f6b09985 · outbound

This paper cites and Varadhan, S.R.

Asymptotic version of the parametrix method for Markov chains converging to diffusions and Varadhan, S.R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:24:19.452856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e38027f7-ec86-42c7-ae9a-c11282096274 · outbound

This paper cites an unresolved cited work.

Asymptotic version of the parametrix method for Markov chains converging to diffusions Unresolved cited work

Reference 2025

Resolution: parse uncertain; raw_fallback, observed 2026-08-07T13:24:22.960386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation dbe8758a-b067-4750-a98f-53bcaf362f8e · inbound

Strong invariance principles for diffusions, Markov chains and their perturbations cites this paper.

Strong invariance principles for diffusions, Markov chains and their perturbations Asymptotic version of the parametrix method for Markov chains converging to diffusions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-03T07:47:45.205298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e5837b58-e2eb-4acd-8eff-f8160da7c636 · inbound

Strong invariance principles for diffusions, Markov chains and their perturbations cites this paper.

Strong invariance principles for diffusions, Markov chains and their perturbations Asymptotic version of the parametrix method for Markov chains converging to diffusions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-30T10:54:36.586487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.