Paper Citation Record · LEDGER

Quantitative stochastic homogenization for long-range random walks with critical jump index

As of 5 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2604.21162.

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

pith.paper-citation-record.v1
2604.21162 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-09T21:21:22.107134Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T05:53:26.571038Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T16:18:37.986630Z

Reference resolution

38 of 38 outbound references displayed

verified exact2
verified fuzzy33
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1b2fbdba-9cd1-4d00-b8d3-47f648e200ac · outbound

This paper cites Andres, M.T.

Quantitative stochastic homogenization for long-range random walks with critical jump index Andres, M.T

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.185289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation d8486d7b-b874-4c9d-ba7c-71b3442e2ec7 · outbound

This paper cites Andres, A.

Quantitative stochastic homogenization for long-range random walks with critical jump index Andres, A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.226662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2c6c8e7a-7d57-45b4-9826-b7f474cab8d0 · outbound

This paper cites Andres, J.-D.

Quantitative stochastic homogenization for long-range random walks with critical jump index Andres, J.-D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.210823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ed401ea0-2113-4612-b40c-753e1d424f39 · outbound

This paper cites Armstrong, A.

Quantitative stochastic homogenization for long-range random walks with critical jump index Armstrong, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.217327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 6efb0f33-2d3f-417d-8e42-5c64ab7dacf3 · outbound

This paper cites Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift.

Quantitative stochastic homogenization for long-range random walks with critical jump index Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:36:09.436463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 0a37ed99-7b9a-4273-ac90-c791c95a554a · outbound

This paper cites Armstrong and P.

Quantitative stochastic homogenization for long-range random walks with critical jump index Armstrong and P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.220073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 90087261-a7b1-4b42-bb6d-c6eb936be424 · outbound

This paper cites Armstrong and T.

Quantitative stochastic homogenization for long-range random walks with critical jump index Armstrong and T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.207820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f407002c-3e67-49fa-8e4d-75f2db18ad4f · outbound

This paper cites Armstrong, T.

Quantitative stochastic homogenization for long-range random walks with critical jump index Armstrong, T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.156275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 69c74843-9ea2-4e8a-9215-935c9df9b3f1 · outbound

This paper cites Armstrong and C.K.

Quantitative stochastic homogenization for long-range random walks with critical jump index Armstrong and C.K

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.124531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 181c47a9-8455-4e53-b877-66d9984fced0 · outbound

This paper cites Armstrong and W.

Quantitative stochastic homogenization for long-range random walks with critical jump index Armstrong and W

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.172415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2c8a561e-1d45-4d88-acd1-ca6c3560bfe2 · outbound

This paper cites an unresolved cited work.

Quantitative stochastic homogenization for long-range random walks with critical jump index Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-23T16:05:42.176457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7e3a6208-50e4-4be5-a2f5-8da4a1e92f36 · outbound

This paper cites Bercu, B.

Quantitative stochastic homogenization for long-range random walks with critical jump index Bercu, B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.152409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 98911440-543d-4fb8-aa78-e4d1628f548f · outbound

This paper cites Berger and M.

Quantitative stochastic homogenization for long-range random walks with critical jump index Berger and M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.259623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 5c04b54d-d4b9-4cff-bf57-11e1b5c52cd3 · outbound

This paper cites Biskup: Recent progress on the random conductance model,Prob.

Quantitative stochastic homogenization for long-range random walks with critical jump index Biskup: Recent progress on the random conductance model,Prob

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.277651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation bb0b194f-a0ca-434b-9c09-910f64844c76 · outbound

This paper cites Biskup, X.

Quantitative stochastic homogenization for long-range random walks with critical jump index Biskup, X

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.164008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 97cd91da-aa33-43d8-ab74-dbe2ba79790f · outbound

This paper cites Chatzigeorgiou, P.

Quantitative stochastic homogenization for long-range random walks with critical jump index Chatzigeorgiou, P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.232921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b32695bf-7fe3-43cb-961b-63b5e1cb2720 · outbound

This paper cites Chen, Z.-Q.

Quantitative stochastic homogenization for long-range random walks with critical jump index Chen, Z.-Q

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.143525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 33cf1a44-d504-4351-846f-7707673503b8 · outbound

This paper cites Chen, Z.-Q.

Quantitative stochastic homogenization for long-range random walks with critical jump index Chen, Z.-Q

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.229696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation fdf1a796-0a9f-4d28-b03a-a722bef67846 · outbound

This paper cites Chen, Z.-Q.

Quantitative stochastic homogenization for long-range random walks with critical jump index Chen, Z.-Q

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.236062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation dab1cab5-b0d1-47ff-a136-e9f561a63a54 · outbound

This paper cites an unresolved cited work.

Quantitative stochastic homogenization for long-range random walks with critical jump index Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-23T16:05:42.140262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation aa153870-fe47-42a5-aaa8-ad48199f7ef0 · outbound

This paper cites an unresolved cited work.

Quantitative stochastic homogenization for long-range random walks with critical jump index Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-23T16:05:42.159922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation dcec0abe-57c1-43b7-918a-38286014c00c · outbound

This paper cites Dario and C.

Quantitative stochastic homogenization for long-range random walks with critical jump index Dario and C

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.131286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 1c717629-1641-4d93-af0c-be11c01821a5 · outbound

This paper cites Fannjiang and T.

Quantitative stochastic homogenization for long-range random walks with critical jump index Fannjiang and T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.181074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 17c7d6e9-574c-4b11-a640-dc03ab390525 · outbound

This paper cites Flegel, M.

Quantitative stochastic homogenization for long-range random walks with critical jump index Flegel, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.269893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 44c5c58b-98ce-4d34-9de0-c09a772323d2 · outbound

This paper cites Funaki, C.

Quantitative stochastic homogenization for long-range random walks with critical jump index Funaki, C

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:36:09.441811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2c1b3cd7-aa3a-4d05-9aa7-9d7d02fb335a · outbound

This paper cites Giunti, C.

Quantitative stochastic homogenization for long-range random walks with critical jump index Giunti, C

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.168185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 123fc5a6-11db-48a0-b62b-2ead27f8e094 · outbound

This paper cites Gloria, S.

Quantitative stochastic homogenization for long-range random walks with critical jump index Gloria, S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.204082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation ed4c1982-4839-4881-91fd-5e89bf9125bb · outbound

This paper cites Gloria and F.

Quantitative stochastic homogenization for long-range random walks with critical jump index Gloria and F

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.213851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 71e56d48-5bbe-4cbb-88d7-2d0d672f5611 · outbound

This paper cites Gloria and F.

Quantitative stochastic homogenization for long-range random walks with critical jump index Gloria and F

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.189202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f847559f-a239-42f0-aa04-c299c9b094b2 · outbound

This paper cites Guo and O.

Quantitative stochastic homogenization for long-range random walks with critical jump index Guo and O

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.266005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7e09585f-12bf-45f4-826d-3333a7454a3e · outbound

This paper cites Kassmann, A.

Quantitative stochastic homogenization for long-range random walks with critical jump index Kassmann, A

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.193259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 18a1dc58-b3e1-4709-bc12-aa6bacb9bec3 · outbound

This paper cites Kipnis and S.

Quantitative stochastic homogenization for long-range random walks with critical jump index Kipnis and S

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.273907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 65fa757f-acf7-41d4-95d5-a161e3434d8b · outbound

This paper cites Kozlov: The averaging of random operators,Mat.

Quantitative stochastic homogenization for long-range random walks with critical jump index Kozlov: The averaging of random operators,Mat

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.252203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 886e047e-ab04-42e4-8943-54b4b532f12a · outbound

This paper cites Kumagai:Random Walks on Disordered Media and Their Scaling Limits.

Quantitative stochastic homogenization for long-range random walks with critical jump index Kumagai:Random Walks on Disordered Media and Their Scaling Limits

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.256052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 6ddd32c0-8204-40e9-a5aa-da1436dede23 · outbound

This paper cites Mathieu and A.

Quantitative stochastic homogenization for long-range random walks with critical jump index Mathieu and A

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.244577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4187848a-2594-4149-b0ae-7ad8e0605480 · outbound

This paper cites Papanicolaou and S.R.S.

Quantitative stochastic homogenization for long-range random walks with critical jump index Papanicolaou and S.R.S

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.197819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 432cf53b-7327-4165-ac86-fb9033054e79 · outbound

This paper cites Piatnitski and E.

Quantitative stochastic homogenization for long-range random walks with critical jump index Piatnitski and E

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.223672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation da1fa21d-ad8e-427c-8db9-720c43c2960d · outbound

This paper cites Sidoravicius and A.-S.

Quantitative stochastic homogenization for long-range random walks with critical jump index Sidoravicius and A.-S

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T16:05:42.240560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

Observation 6808736e-6b5d-465b-8532-f082a5d0a810 · inbound

Scaling limit of additive functionals for reversible non-gradient exclusion process: critical cases cites this paper.

Scaling limit of additive functionals for reversible non-gradient exclusion process: critical cases Quantitative stochastic homogenization for long-range random walks with critical jump index

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-03T16:18:37.987874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.