Paper Citation Record · LEDGER

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 3 inbound Pith citation observations for arXiv:2412.20408.

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

pith.paper-citation-record.v1
2412.20408 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:39:09.194930Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:57:37.883359Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T03:04:13.843114Z

Reference resolution

32 of 32 outbound references displayed

verified exact1
verified fuzzy24
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70dbf43d-1fef-43a3-a68b-0424bbb3cfd5 · outbound

This paper cites and Conca C., Bloch wave homogenization and spectral asymptotic analysi s, J.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Conca C., Bloch wave homogenization and spectral asymptotic analysi s, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.721367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 67ce0ffb-a077-4dc8-8515-bf747f058168 · outbound

This paper cites and Vanninathan M., The Bloch transform and applications , ESAIM: Proceedings 3 (1998), 65–84.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Vanninathan M., The Bloch transform and applications , ESAIM: Proceedings 3 (1998), 65–84

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.706181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ea27080f-5b9a-45a9-ba2f-1dd9113f1fb6 · outbound

This paper cites and Kassmann M., Nonlocal Dirichlet forms and symmetric jump processes , Transactions of the AMS 361 (2009), no.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Kassmann M., Nonlocal Dirichlet forms and symmetric jump processes , Transactions of the AMS 361 (2009), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.690856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ad35a658-6a72-403b-ba8f-8d961f1a2327 · outbound

This paper cites and Panasenko G., Homogenization: averaging processes in periodic media , Kluwer Academic Publishers, Dordrecht, Boston, London, 1989.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Panasenko G., Homogenization: averaging processes in periodic media , Kluwer Academic Publishers, Dordrecht, Boston, London, 1989

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.674753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4a247d83-55d7-42f8-98c5-2e5aabd79853 · outbound

This paper cites and Papanicolaou G., Asymptotic analysis for periodic structures , Stud.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Papanicolaou G., Asymptotic analysis for periodic structures , Stud

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.659164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ea89033c-f635-47c0-95ed-c9d6c345aa4f · outbound

This paper cites an unresolved cited work.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:39:09.643974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a3fd61cd-5c80-4ee3-a68a-9896018a0f5e · outbound

This paper cites an unresolved cited work.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:39:09.628778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2616d687-e18a-451e-9a3c-63daabbfa52e · outbound

This paper cites an unresolved cited work.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:39:09.613301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 29ab0de7-1581-4187-9448-d0ed6fcc7465 · outbound

This paper cites and Piatnitski A., Homogenization of quadratic convolution energies in perio dically perforated do- mains, Adv.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Piatnitski A., Homogenization of quadratic convolution energies in perio dically perforated do- mains, Adv

Reference 9

Resolution: verified exact; doi, observed 2026-08-10T23:39:09.233195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a793040f-61a4-4b3c-89eb-9bbf5d08769f · outbound

This paper cites and Vanninathan M., Bloch approximation in homogenization and applications , SIAM J.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Vanninathan M., Bloch approximation in homogenization and applications , SIAM J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.598282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a717567a-8093-476c-8d82-0693d6f4367d · outbound

This paper cites and Tankov P., Financial modelling with jump processes , Chapman and Hall/CRC Financial Mathe- matics Series, FL, 2004.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Tankov P., Financial modelling with jump processes , Chapman and Hall/CRC Financial Mathe- matics Series, FL, 2004

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.582759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b2704e09-4d5f-4be2-8815-b632b5e9b3a3 · outbound

This paper cites M., Phillips R.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients M., Phillips R

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.567154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3c6e83ae-63b0-4ba7-a7dd-08270eec5b60 · outbound

This paper cites and Sims D., Optimal foraging strategies : L´evy walks balance searching and patch exploitation under a very broad range of conditions , J.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Sims D., Optimal foraging strategies : L´evy walks balance searching and patch exploitation under a very broad range of conditions , J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.551720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bdc8536d-9033-4f29-9b77-d4429a9ce9a3 · outbound

This paper cites and Zhizhina E., Homogenization of L ´evy-type operators with oscillating coeﬃcients , SIAM J.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Zhizhina E., Homogenization of L ´evy-type operators with oscillating coeﬃcients , SIAM J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.536994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5cd9f2f6-6281-474c-a2f9-d8dca0fd7c55 · outbound

This paper cites and Zhizhina E ., On ground state of some non local Schr¨ odinger operators, Appl.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Zhizhina E ., On ground state of some non local Schr¨ odinger operators, Appl

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.521482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fbdbdbce-0cc9-4b4a-89dc-983ed9c1a4be · outbound

This paper cites an unresolved cited work.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:39:09.506145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 257a6c84-cd18-44bb-9535-b882ac612105 · outbound

This paper cites and Schoutens W., Backward stochastic diﬀerential equations and Feynman-Kac formula for L ´evy processes, with applications in ﬁnance , Bernoulli 7 (2001), 761–776.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Schoutens W., Backward stochastic diﬀerential equations and Feynman-Kac formula for L ´evy processes, with applications in ﬁnance , Bernoulli 7 (2001), 761–776

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.490959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation adb3f028-58f1-4317-8093-fd79fc732279 · outbound

This paper cites and Zhizhina E., Periodic homogenization of nonlocal operators with a convo lution-type kernel , SIAM J.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Zhizhina E., Periodic homogenization of nonlocal operators with a convo lution-type kernel , SIAM J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.475507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d885d53c-1b35-46e8-ac77-65c907579d83 · outbound

This paper cites and Zhizhina E., Homogenization of biased convolution type operators , Asymptot.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Zhizhina E., Homogenization of biased convolution type operators , Asymptot

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.460294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d51177a7-67e1-42f4-9cbd-5024f67f2046 · outbound

This paper cites and Zhizhina E., On operator estimates in homogenization of nonlocal operators of convolution type , J.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients and Zhizhina E., On operator estimates in homogenization of nonlocal operators of convolution type , J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.444435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8b3c84d2-a0cc-4184-bed5-fca1b6225d4a · outbound

This paper cites L., Sloushch V.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients L., Sloushch V

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.427687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 617ad586-9eab-4fe2-8173-9ebe0cb818cd · outbound

This paper cites i., L´evy processes and inﬁnitely divisible distributions , Cambridge Stud.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients i., L´evy processes and inﬁnitely divisible distributions , Cambridge Stud

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.412138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 437c6ac3-e134-46fc-bf4c-36196c05aab8 · outbound

This paper cites V., An asymptotic expansion of the solution of a second order ell iptic equation with periodic rapidly oscillating coeﬃcients , Sb.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients V., An asymptotic expansion of the solution of a second order ell iptic equation with periodic rapidly oscillating coeﬃcients , Sb

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.395876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e9e96468-f348-4926-9f4a-8732594e843c · outbound

This paper cites M., Geometric and arithmetic methods in the spectral theory of m ultidimensional periodic operators, Proceedings of the Steklov Institute of Mathematics 171, AMS, Providence, 1987.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients M., Geometric and arithmetic methods in the spectral theory of m ultidimensional periodic operators, Proceedings of the Steklov Institute of Mathematics 171, AMS, Providence, 1987

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.380163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e4d797f9-a00a-4672-a7d5-8112ddcf9662 · outbound

This paper cites A., Operator-theoretic approach to the homogenization of Schr ¨ odinger-type equations with periodic coeﬃcients , Russian Math.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients A., Operator-theoretic approach to the homogenization of Schr ¨ odinger-type equations with periodic coeﬃcients , Russian Math

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.364491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d10a7069-8b64-47c3-b5b9-725bf87a44e7 · outbound

This paper cites an unresolved cited work.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:39:09.348502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 01301ba2-dde0-485b-ae33-76e2c318509d · outbound

This paper cites A., L´evy processes in the physical sciences , in L´evy Processes, Birkh¨ auser, Boston, MA, 2001, pp.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients A., L´evy processes in the physical sciences , in L´evy Processes, Birkh¨ auser, Boston, MA, 2001, pp

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.333247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0fbcba84-c775-4f46-8edb-117016e8132a · outbound

This paper cites V., Spectral approach to asymptotic diﬀusion problems , Diﬀerential Equations 25 (1989), no.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients V., Spectral approach to asymptotic diﬀusion problems , Diﬀerential Equations 25 (1989), no

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.316101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 502233ab-ab9b-4799-91f4-a1b59537a86e · outbound

This paper cites V., On operator estimates in homogenization theory , Dokl.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients V., On operator estimates in homogenization theory , Dokl

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.296908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3cbff920-8f45-4814-9511-9911810f5984 · outbound

This paper cites V., Kozlov S.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients V., Kozlov S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:39:09.280426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b4c78b47-584f-4dfe-9f71-34fa5dbfabe8 · outbound

This paper cites an unresolved cited work.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:39:09.264644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7ed32351-e693-49fc-8f5b-d6bd424df01d · outbound

This paper cites an unresolved cited work.

Operator estimates in homogenization of L\'evy-type operators with periodic coefficients Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:39:09.249161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 76a196cb-eda3-4e00-b75e-0b1c0b805761 · inbound

Homogenization of non-symmetric convolution type operators cites this paper.

Homogenization of non-symmetric convolution type operators Operator estimates in homogenization of L\'evy-type operators with periodic coefficients

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T05:57:37.883359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fbe976c-c087-4aa3-bba8-745ecf5dd3f4 · inbound

Homogenization of L\'evy-type operators: operator estimates with correctors cites this paper.

Homogenization of L\'evy-type operators: operator estimates with correctors Operator estimates in homogenization of L\'evy-type operators with periodic coefficients

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T11:26:46.094570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c161fea-8453-47ed-8b3c-0657832c5d19 · inbound

High-order convergence rates of periodic homogenization for symmetric L\'evy type operators cites this paper.

High-order convergence rates of periodic homogenization for symmetric L\'evy type operators Operator estimates in homogenization of L\'evy-type operators with periodic coefficients

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-06-30T03:04:13.845035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.