Paper Citation Record · LEDGER

Homogenisation and spectral convergence of high-contrast convolution type operators

As of 10 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2507.02638.

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

pith.paper-citation-record.v1
2507.02638 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:32:29.404002Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

31 of 31 outbound references displayed

verified exact2
verified fuzzy25
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 529e5bf1-11ab-4e44-9083-32ac133a860a · outbound

This paper cites Allaire, Homogenization and two-scale convergence, SIAM J.

Homogenisation and spectral convergence of high-contrast convolution type operators Allaire, Homogenization and two-scale convergence, SIAM J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:34.441924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 930693f1-a6c3-4e3f-b64b-cb2813e8b5df · outbound

This paper cites Allaire, C.

Homogenisation and spectral convergence of high-contrast convolution type operators Allaire, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:34.345487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 459646e6-f601-4040-92c2-ffc6f54d8dd6 · outbound

This paper cites Amaziane, A.

Homogenisation and spectral convergence of high-contrast convolution type operators Amaziane, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:34.140592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 329d56e7-2770-4517-8f2b-5ea9de4d2f69 · outbound

This paper cites Arbogast, J.

Homogenisation and spectral convergence of high-contrast convolution type operators Arbogast, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:34.001207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f002769b-2a3d-4c58-b54c-e4c9a2de6e61 · outbound

This paper cites Homogenization of the stochastic double-porosity model.

Homogenisation and spectral convergence of high-contrast convolution type operators Homogenization of the stochastic double-porosity model

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:32:29.650272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8af82d12-317b-4286-9fc7-2f5cda3ae031 · outbound

This paper cites Braides, A.

Homogenisation and spectral convergence of high-contrast convolution type operators Braides, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:33.791321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 81fc3d63-1194-45ed-bab3-ebe853144320 · outbound

This paper cites Braides, A.

Homogenisation and spectral convergence of high-contrast convolution type operators Braides, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:33.632850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f5708539-499f-45f1-b3ad-78b5bb547f99 · outbound

This paper cites Braides, V.

Homogenisation and spectral convergence of high-contrast convolution type operators Braides, V

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:33.424439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 80280052-4257-4f59-815e-9c8333ee0ecc · outbound

This paper cites Buˇ zanˇ ci´ c, K.

Homogenisation and spectral convergence of high-contrast convolution type operators Buˇ zanˇ ci´ c, K

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:33.239063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b62c8408-d6e8-48c5-b568-f54dba876108 · outbound

This paper cites Cherdantsev, K.

Homogenisation and spectral convergence of high-contrast convolution type operators Cherdantsev, K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:33.044949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5461db98-0288-44be-a334-89ef30c6509d · outbound

This paper cites High-contrast random composites: homogenisation framework and new spectral phenomena.

Homogenisation and spectral convergence of high-contrast convolution type operators High-contrast random composites: homogenisation framework and new spectral phenomena

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:32:29.558669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 38ce10a6-d122-449f-91b6-d338892e4cde · outbound

This paper cites Cherdantsev, K.

Homogenisation and spectral convergence of high-contrast convolution type operators Cherdantsev, K

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:32.888661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8d063edd-c274-46e3-adc7-913a913f55d1 · outbound

This paper cites Cherednichenko, A.

Homogenisation and spectral convergence of high-contrast convolution type operators Cherednichenko, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:32.731231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7b3e5bc4-f306-4cc9-8d5a-ff90f5b4e510 · outbound

This paper cites Cooper, Quasi-periodic two-scale homogenisation and effective spatial dispersion in high-contrast media, Calc.

Homogenisation and spectral convergence of high-contrast convolution type operators Cooper, Quasi-periodic two-scale homogenisation and effective spatial dispersion in high-contrast media, Calc

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:32.572313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9a5e2764-8543-4881-8269-7f23ca71eb1d · outbound

This paper cites Cooper, K.

Homogenisation and spectral convergence of high-contrast convolution type operators Cooper, K

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:32.385830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a67c1571-3399-4e00-aae8-165347e5d55a · outbound

This paper cites Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems.

Homogenisation and spectral convergence of high-contrast convolution type operators Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T20:32:28.432768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f7682ed-8342-406a-90c0-666eaea35d50 · outbound

This paper cites an unresolved cited work.

Homogenisation and spectral convergence of high-contrast convolution type operators Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:32:32.197407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c8cadcdb-e332-4a28-8e86-13b17e43904c · outbound

This paper cites an unresolved cited work.

Homogenisation and spectral convergence of high-contrast convolution type operators Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:32:32.029210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9ce88ac9-7530-48aa-b69d-3267f8d78977 · outbound

This paper cites Mielke, A.

Homogenisation and spectral convergence of high-contrast convolution type operators Mielke, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:31.882190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b8732270-e136-4af5-8ac5-2894a361b89e · outbound

This paper cites Kondratiev, O.

Homogenisation and spectral convergence of high-contrast convolution type operators Kondratiev, O

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:31.760242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7d87699b-0541-40e1-aea2-779df127168c · outbound

This paper cites Kondratiev, S.

Homogenisation and spectral convergence of high-contrast convolution type operators Kondratiev, S

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:31.590059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c8f30921-3ba1-4c99-a46b-e5302b2158d1 · outbound

This paper cites Kondratiev, S.

Homogenisation and spectral convergence of high-contrast convolution type operators Kondratiev, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:31.439970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e6c2d83d-6776-4581-aa8a-5196a7d1389a · outbound

This paper cites an unresolved cited work.

Homogenisation and spectral convergence of high-contrast convolution type operators Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:32:31.325569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bc57c2d2-caec-4a3c-8193-961356c7f9db · outbound

This paper cites Piatnitski, E.

Homogenisation and spectral convergence of high-contrast convolution type operators Piatnitski, E

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:31.170427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 36a3e7b2-79b4-4982-bb10-50d711b15d71 · outbound

This paper cites Piatnitski, E.

Homogenisation and spectral convergence of high-contrast convolution type operators Piatnitski, E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:30.977649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3fe2946d-30ca-48d4-9649-aef989009b75 · outbound

This paper cites Piatnitski, E.

Homogenisation and spectral convergence of high-contrast convolution type operators Piatnitski, E

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:30.790375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7b346fcb-f1dd-40a6-8d41-7580f08a1f85 · outbound

This paper cites Piatnitski, V.

Homogenisation and spectral convergence of high-contrast convolution type operators Piatnitski, V

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:30.664400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1cc9242c-4694-433a-bca3-331febc54494 · outbound

This paper cites Piatnitski, E.

Homogenisation and spectral convergence of high-contrast convolution type operators Piatnitski, E

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:30.446436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4bd9a5cc-56a9-4fb3-ae53-41dad657c0c8 · outbound

This paper cites Jikov, S.M.

Homogenisation and spectral convergence of high-contrast convolution type operators Jikov, S.M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:30.117938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6a71911c-c5b0-4e9c-bbb6-26ce43a96a60 · outbound

This paper cites Zhikov, On an extension of the method of two-scale convergence and its applica- tions, Sb.

Homogenisation and spectral convergence of high-contrast convolution type operators Zhikov, On an extension of the method of two-scale convergence and its applica- tions, Sb

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:29.908423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6d63a42e-e651-47ec-aab4-145e20b151a8 · outbound

This paper cites Zhikov, Gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients, St.

Homogenisation and spectral convergence of high-contrast convolution type operators Zhikov, Gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients, St

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:32:29.784611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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No inbound Pith citation observations are available.