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Paper Citation Record · LEDGER

Biased random walk on the critical curve of dynamical percolation

As of 23 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2502.08568.

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

pith.paper-citation-record.v1
2502.08568 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T04:45:40.881438Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:11:54.375702Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T06:37:42.143854Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved4
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d213ca8c-3910-4a8e-ac0b-ed4a0d078ebc · outbound

This paper cites Biased random walk on dynamical percolation.

Biased random walk on the critical curve of dynamical percolation Biased random walk on dynamical percolation

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ae6d359d-b13b-4e27-8d54-586f28ee1e7c · outbound

This paper cites Biased random walks on random graphs.Proba- bility and statistical physics in St.

Biased random walk on the critical curve of dynamical percolation Biased random walks on random graphs.Proba- bility and statistical physics in St

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:45:41.251246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.778133Z digest=sha256:47c598a79809a1bc2e22914ec74c5fe8279c24f458c4eecb67e55f2617807828

Observation 6f25cb61-6faf-4ce1-970a-fc1ee8ee2f47 · outbound

This paper cites Random walk in dynamic Markovian random en- vironment.

Biased random walk on the critical curve of dynamical percolation Random walk in dynamic Markovian random en- vironment

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:45:41.237546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 29cee5ea-bc7c-4e21-9581-b1d587c03af9 · outbound

This paper cites Directed diffusion in a percolation network.Journal of Physics C: Solid State Physics, 16(8):1451, 1983.

Biased random walk on the critical curve of dynamical percolation Directed diffusion in a percolation network.Journal of Physics C: Solid State Physics, 16(8):1451, 1983

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:45:41.224003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.787240Z digest=sha256:043acde81747816fb27f35a518e782988341dae1c51013d4a8237b7b29736ea7

Observation 4d8138c2-4ec0-43d3-b8c9-eb177c73c0c9 · outbound

This paper cites The speed of biased random walk on percolation clusters.

Biased random walk on the critical curve of dynamical percolation The speed of biased random walk on percolation clusters

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:45:41.210275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.792038Z digest=sha256:518e0c50cb3eb79c2ed841b8c64d54d8166c0308795a30c341676d53d56a3e8f

Observation 6382771a-e4fd-4778-b067-78bf1a2ee0c5 · outbound

This paper cites Biased random walk on supercritical percolation: anomalous fluctuations in the ballistic regime.Electronic Journal of Probability, 27:1–22, 2022.

Biased random walk on the critical curve of dynamical percolation Biased random walk on supercritical percolation: anomalous fluctuations in the ballistic regime.Electronic Journal of Probability, 27:1–22, 2022

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 4102a0ca-d592-43ef-b542-4dbb84be92ba · outbound

This paper cites Limit theorems for the tagged particle in exclusion processes on regular trees.

Biased random walk on the critical curve of dynamical percolation Limit theorems for the tagged particle in exclusion processes on regular trees

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.801605Z digest=sha256:6bbf5b52fd499e1656455d498c6e2d6c9bb899cf96e2583a90c8368040f99acd

Observation c9fc50a0-7a34-40ae-a4aa-9323bb86002e · outbound

This paper cites Volume I: Elementary theory and methods.

Biased random walk on the critical curve of dynamical percolation Volume I: Elementary theory and methods

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.805831Z digest=sha256:4cb94b91848fa5943731de181ca02a59e78bf336fb4289a126c7e24278e11bd7

Observation a84ad910-6b61-4645-90c3-fddcdc4c4e17 · outbound

This paper cites Phase transition for the speed of the biased ran- dom walk on the supercritical percolation cluster.

Biased random walk on the critical curve of dynamical percolation Phase transition for the speed of the biased ran- dom walk on the supercritical percolation cluster

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:45:41.154265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.810079Z digest=sha256:b491f79f94b357db8da3c2c4cf9bbac7fd6e9733af01096d42696026ea246510

Observation 0b40b58f-247b-477d-bc2b-c9a8cfd41fb3 · outbound

This paper cites The speed of the tagged particle in the exclusion process on Galton–Watson trees.Electronic Journal of Probability, 25(71):1–27, 2020.

Biased random walk on the critical curve of dynamical percolation The speed of the tagged particle in the exclusion process on Galton–Watson trees.Electronic Journal of Probability, 25(71):1–27, 2020

Reference 10

Resolution
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raw_fallback, observed 2026-08-08T04:45:41.139366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 619b47bb-6917-4d61-85ad-3797c25ee472 · outbound

This paper cites Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes.

Biased random walk on the critical curve of dynamical percolation Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes

Reference 11

Resolution
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no resolver link, observed 2026-08-08T04:45:40.818269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T04:45:40.818269Z digest=sha256:28a1b128577b56020bc898d85724e29155bf13e7a8d645d53feb843a105f91b6

Observation 154d6cf4-7792-4c00-a189-47ddbde0a0fa · outbound

This paper cites Speed of random walk on dynamical percolation in nonamenable transitive graphs.

Biased random walk on the critical curve of dynamical percolation Speed of random walk on dynamical percolation in nonamenable transitive graphs

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-08T04:45:40.822766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T04:45:40.822766Z digest=sha256:37258877a912f649ccf9609b16a2a05763c9e086db48ee3f8926a1558634345e

Observation 71538146-7f18-44d3-831b-307c5a631bfb · outbound

This paper cites Dynamical percolation.Annales de l’Institut Henri Poincare (B) Probability and Statistics, 33(4):497–528, 1997.

Biased random walk on the critical curve of dynamical percolation Dynamical percolation.Annales de l’Institut Henri Poincare (B) Probability and Statistics, 33(4):497–528, 1997

Reference 13

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raw_fallback, observed 2026-08-08T04:45:41.125060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 05fb4995-e823-4397-bff1-8a6680cf5202 · outbound

This paper cites A comparison principle for random walk on dynamical percolation.

Biased random walk on the critical curve of dynamical percolation A comparison principle for random walk on dynamical percolation

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation e8a8f445-0b03-4f19-a7c7-95d751bbe35e · outbound

This paper cites A limit law for random walk in a random environment.

Biased random walk on the critical curve of dynamical percolation A limit law for random walk in a random environment

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:45:41.097216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.835571Z digest=sha256:51e85170eb35222f11b3ccec7801c6e94c594ac65a28b88af7ca85731d4be77c

Observation 2455cae8-7255-49f0-a53d-93d908b3c82a · outbound

This paper cites an unresolved cited work.

Biased random walk on the critical curve of dynamical percolation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-08T04:45:41.083108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.839888Z digest=sha256:5b356012ef6e8e52e62a186119820264c3b05e405e92388429a910875bb16b48

Observation e60860c0-ac92-47e0-8713-5677cdc916e8 · outbound

This paper cites Interacting particle systems, volume 2.

Biased random walk on the critical curve of dynamical percolation Interacting particle systems, volume 2

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:45:41.060479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.848399Z digest=sha256:7802af10aa8876deac17a3816add7f4769840a7892c2a563e10464f4af77ffef

Observation 73eb973d-0aa1-4bcd-9983-57a252badd3c · outbound

This paper cites Stochastic interacting systems: contact, voter and exclusion processes, vol- ume 324.

Biased random walk on the critical curve of dynamical percolation Stochastic interacting systems: contact, voter and exclusion processes, vol- ume 324

Reference 18

Resolution
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raw_fallback, observed 2026-08-08T04:45:41.046026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.852378Z digest=sha256:74c238208b526e897b8bee425b38c496ae70c941c01d3c40fc69c15f064b642c

Observation 2965e677-4a79-4a04-91a8-3e7f5ce0562e · outbound

This paper cites Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure.Ergodic Theory and Dynamical Systems, 15(3):593–619, 1995.

Biased random walk on the critical curve of dynamical percolation Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure.Ergodic Theory and Dynamical Systems, 15(3):593–619, 1995

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:45:41.031739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.856600Z digest=sha256:9d0741900a07e7b533c8551d3cd4774935b8bd86bc14b4f4fab4f14751584d55

Observation 67594555-6235-4cdb-b104-f722d732b099 · outbound

This paper cites Biased random walks on Galton–Watson trees.

Biased random walk on the critical curve of dynamical percolation Biased random walks on Galton–Watson trees

Reference 20

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raw_fallback, observed 2026-08-08T04:45:41.016817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.860821Z digest=sha256:1378fd2fc1123c785e9b9b1fe0d7691aa5970565c496a9469d0ff6a5a367e166

Observation bb9d0587-4b92-4e2a-8bb8-439a6900a3fb · outbound

This paper cites Quenched exit times for random walk on dynamical percolation.

Biased random walk on the critical curve of dynamical percolation Quenched exit times for random walk on dynamical percolation

Reference 21

Resolution
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raw_fallback, observed 2026-08-08T04:45:41.001592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.864927Z digest=sha256:d40e96f6e0bdff0583377a7a119ef4ab657b2f08cf5b62c29abbdeb87d2fefe8

Observation 286c8b32-43b9-4718-9188-51a3fa0e02a0 · outbound

This paper cites Mixing time for random walk on supercritical dynamical percolation.

Biased random walk on the critical curve of dynamical percolation Mixing time for random walk on supercritical dynamical percolation

Reference 22

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raw_fallback, observed 2026-08-08T04:45:40.987530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.869020Z digest=sha256:797c845622781620fe0dcc895697934eb8c6f8dd85d10f6081ef9f4b726a0b88

Observation 8848bc63-6e74-44be-ad97-11b31231ada9 · outbound

This paper cites Random walks on dynamical percolation: mixing times, mean squared displacement and hitting times.Probability Theory and Related Fields, 162(3):487–530, 2015.

Biased random walk on the critical curve of dynamical percolation Random walks on dynamical percolation: mixing times, mean squared displacement and hitting times.Probability Theory and Related Fields, 162(3):487–530, 2015

Reference 23

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raw_fallback, observed 2026-08-08T04:45:40.973612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.873038Z digest=sha256:dabff8fef7837f07c07afc0d79d5ce612707a6f62e9b55b5b732a13fedd38cdd

Observation 5372ea7a-35c4-478f-b19a-77b5f0c83e6a · outbound

This paper cites Cutoff for random walk on dynamical Erdős–Rényi graph.

Biased random walk on the critical curve of dynamical percolation Cutoff for random walk on dynamical Erdős–Rényi graph

Reference 24

Resolution
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raw_fallback, observed 2026-08-08T04:45:40.959717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.877299Z digest=sha256:069a8523e9aff8224d9df9238e9ce77f04cbba209b14cc567081feea6d2446c1

Observation a332c585-534a-4d20-9c6c-a2f2a4280e31 · outbound

This paper cites On the anisotropic walk on the supercritical percolation cluster.Com- munications in mathematical physics, 240:123–148, 2003.

Biased random walk on the critical curve of dynamical percolation On the anisotropic walk on the supercritical percolation cluster.Com- munications in mathematical physics, 240:123–148, 2003

Reference 25

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raw_fallback, observed 2026-08-08T04:45:40.945142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:45:40.881438Z digest=sha256:4f611a28c58261bbe35d77e7ce36cbc3f4bda300fe4d626b7c8019f1f13244db

Observation 2ffd7700-281f-44e8-bffa-a7e97d65757c · outbound

This paper cites an unresolved cited work.

Biased random walk on the critical curve of dynamical percolation Unresolved cited work

Reference 107

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T04:45:40.844226Z digest=sha256:717b063a00971431b3d0091c0e37fc966d90280de436b7012aa03edd9a8ab7d8

Pith citing papers

Observation 496e8caa-575d-40e9-a8c1-29175495104f · inbound

Mixing times of spin systems on dynamical percolation cites this paper.

Mixing times of spin systems on dynamical percolation Biased random walk on the critical curve of dynamical percolation

Reference 24

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verified exact
arxiv_id, observed 2026-07-03T06:37:42.145693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T06:32:53.544224Z digest=sha256:5ff710ccb850854b1abca34b86096ddae8c642ccf6b846e6fba8b1387ab7efc0

Observation 8a78908d-0530-4ccc-ad12-292420ff0679 · inbound

Mixing times of spin systems on dynamical percolation cites this paper.

Mixing times of spin systems on dynamical percolation Biased random walk on the critical curve of dynamical percolation

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T02:11:54.375702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:11:54.375702Z digest=sha256:1201858244850be4ad886a8ff3755c5093a48f7fcd1f6231b7823314d7374f5d