Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T12:15:31.571514Z
Paper Citation Record · LEDGER
Negative association of Busemann functions in exponential last-passage percolation
As of 11 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2608.07236.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
48 of 48 outbound references displayed
- verified exact30
- verified fuzzy3
- unresolved8
- parse uncertain0
- malformed identifier7
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 45950d91-2528-4361-8788-ba2f090c21f1 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.387965Z
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 3ed11700-df48-42f1-bfdf-79aa2c12c91b · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T12:15:32.762317Z
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 89b3e414-6492-41d3-b18a-08da147c1214 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.359985Z
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 14b15866-7713-47ce-ae17-402f3e09628f · outbound
This paper cites Sigma 8(2020), article no.
Negative association of Busemann functions in exponential last-passage percolation Sigma 8(2020), article no
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.336205Z
Source-reported events for the cited work
correction dated 2021-08-18. Source: crossref record 10.1017/fms.2021.51->10.1017/fms.2020.31:correction, observed 2026-07-11T03:02:02.189603+00:00. This notice travels one citation hop only.
Observation 1d448b15-1daa-4462-992b-f878e68e6bd1 · outbound
This paper cites Theory Related Fields 180, 1-2 (2021), 113–162.
Negative association of Busemann functions in exponential last-passage percolation Theory Related Fields 180, 1-2 (2021), 113–162
Reference 5
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-10T12:15:32.743142Z
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 75d09ec8-f8c0-4478-889b-2af67d7d048d · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 6
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.313637Z
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 81e52534-b557-44f6-a1f4-30d44ebcaa37 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 7
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-10T12:15:32.293701Z
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 3fe4101a-e1f6-4c14-9975-2297cb88b288 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 8
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-10T12:15:31.320756Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9abbc3f-7f01-4220-99bc-b235d65778b2 · outbound
This paper cites Theory Related Fields, 66 pp.
Negative association of Busemann functions in exponential last-passage percolation Theory Related Fields, 66 pp
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.256947Z
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 2875b69c-b585-4a6b-a05c-3fb0e09712f5 · outbound
This paper cites L., and Sepp¨al¨ainen, T.Intertwining the Busemann process of the directed polymer model.Electron.
Negative association of Busemann functions in exponential last-passage percolation L., and Sepp¨al¨ainen, T.Intertwining the Busemann process of the directed polymer model.Electron
Reference 10
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-10T12:15:32.238107Z
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 dd1bcc82-d677-406e-bdac-6288dffba343 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 11
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.220965Z
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 ce1833bb-63ed-4cd7-8ee6-93e076c3d553 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 12
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.204412Z
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 b97288e9-08e6-4d74-b31e-78b7bfb9069c · outbound
This paper cites L.Universality of the geodesic tree in last passage percolation.Ann.
Negative association of Busemann functions in exponential last-passage percolation L.Universality of the geodesic tree in last passage percolation.Ann
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.181908Z
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 e5be5f1d-adc6-4684-af56-e52acd71d4be · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T12:15:32.722643Z
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 d3859ad0-1bcd-4dfa-bda4-5dea748723f0 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 15
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.163331Z
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 f61cee3d-54b3-4322-ad79-78e8045d68b0 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 16
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.142477Z
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 d16842fa-6a1f-431a-9b11-39c5405fcdea · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 17
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-10T12:15:32.697777Z
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 45b9994d-bd11-48e8-bcb2-1895d17e94b8 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 18
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.119730Z
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 08dd9072-911f-4bf2-80df-f9f46cf68ed1 · outbound
This paper cites Electron.
Negative association of Busemann functions in exponential last-passage percolation Electron
Reference 19
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.100783Z
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 2d225393-838b-49b4-9741-a04d8baecafe · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 20
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.080898Z
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 5f17e748-cc84-4f18-986e-775111574c49 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 21
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.061670Z
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 56f18588-054c-475f-9734-76da0c5b9d4a · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 22
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:32.036616Z
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 c5cf1f6d-6622-4b8b-8285-61a8a0f57910 · outbound
This paper cites Invariant measures for half-space geometric LPP: classification and the one force--one solution principle.
Negative association of Busemann functions in exponential last-passage percolation Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T12:15:32.017517Z
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 12041885-f9aa-40d5-8449-87b422733374 · outbound
This paper cites 229, 2 (2022), 201–285.https://doi.org/10.4310/acta.2022.v229.n2.a1.
Negative association of Busemann functions in exponential last-passage percolation 229, 2 (2022), 201–285.https://doi.org/10.4310/acta.2022.v229.n2.a1
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T12:15:31.417217Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4b4ac77-5d4e-4f93-a923-f12deac05584 · outbound
This paper cites The directed landscape from Brownian motion.
Negative association of Busemann functions in exponential last-passage percolation The directed landscape from Brownian motion
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T12:15:31.422837Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0881dfd-3496-431c-9f40-32697c9f406e · outbound
This paper cites The directed landscape in half-space.
Negative association of Busemann functions in exponential last-passage percolation The directed landscape in half-space
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T12:15:31.428962Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bdfcce49-8d89-447f-8bbb-feaada863ccc · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 27
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-10T12:15:32.675001Z
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 2500aaa2-f6cb-46dc-a7e4-16f545cd1149 · outbound
This paper cites G., and Tanny, S.
Negative association of Busemann functions in exponential last-passage percolation G., and Tanny, S
Reference 28
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.942734Z
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 6ba4271e-55e4-4d78-ada7-31403b560d96 · outbound
This paper cites L., and Sepp¨al¨ainen, T.Joint distribution of Busemann functions in the exactly solvable corner growth model.Probab.
Negative association of Busemann functions in exponential last-passage percolation L., and Sepp¨al¨ainen, T.Joint distribution of Busemann functions in the exactly solvable corner growth model.Probab
Reference 29
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.915721Z
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 9f4c5d08-d83b-4785-a56e-fbb2b55721f0 · outbound
This paper cites A., and Martin, J.
Negative association of Busemann functions in exponential last-passage percolation A., and Martin, J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T12:15:32.658209Z
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 80f823bd-8da2-48d4-8bbf-6c9e90072e5d · outbound
This paper cites A., and Martin, J.
Negative association of Busemann functions in exponential last-passage percolation A., and Martin, J
Reference 31
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.896208Z
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 c2844d87-2199-4ba6-b67d-6db4017b66e9 · outbound
This paper cites A., and Martin, J.
Negative association of Busemann functions in exponential last-passage percolation A., and Martin, J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T12:15:32.638364Z
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 b1710d51-a0ad-4337-a9a4-d7f26b84819a · outbound
This paper cites A., and Pimentel, L.
Negative association of Busemann functions in exponential last-passage percolation A., and Pimentel, L
Reference 33
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.875480Z
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 6dfae869-e4af-49b8-bcf2-00858d16bc51 · outbound
This paper cites Theory Related Fields 169, 1-2 (2017), 177–222.
Negative association of Busemann functions in exponential last-passage percolation Theory Related Fields 169, 1-2 (2017), 177–222
Reference 34
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.846098Z
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 e19139e3-1a93-408d-a91a-ce2ec2824e44 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 35
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.813775Z
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 22a4c77b-9180-4f00-b314-cae3ce11a632 · outbound
This paper cites Theory Related Fields 192, 1-2 (2025), 303–372.
Negative association of Busemann functions in exponential last-passage percolation Theory Related Fields 192, 1-2 (2025), 303–372
Reference 36
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.790192Z
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 20702ae0-cd4f-4fc7-b577-2e0d48458ad1 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 37
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.770017Z
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 69e3f0c3-06ee-49ae-b463-c8958c9965d6 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 38
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.750005Z
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 d5b1f71d-4e98-4163-82ba-2336a304a7ca · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T12:15:31.505593Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 161a0d3b-7551-4e0a-b315-3480358ee645 · outbound
This paper cites Multivariate Anal.
Negative association of Busemann functions in exponential last-passage percolation Multivariate Anal
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T12:15:32.620710Z
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 fedd6b4c-a4b3-4496-a910-e47d2d349302 · outbound
This paper cites R., Sepp ¨al¨ainen, T., and V alk´o, B.Fluctuation exponents for directed polymers in the intermediate disorder regime.Electron.
Negative association of Busemann functions in exponential last-passage percolation R., Sepp ¨al¨ainen, T., and V alk´o, B.Fluctuation exponents for directed polymers in the intermediate disorder regime.Electron
Reference 41
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.727119Z
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 68762fda-3b4d-4865-b176-e7e483488fa2 · outbound
This paper cites Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights.
Negative association of Busemann functions in exponential last-passage percolation Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T12:15:31.527974Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dca39692-4227-439c-8a4f-9b96a77c1d9d · outbound
This paper cites Scaling for a one-dimensional directed polymer with boundary conditions.
Negative association of Busemann functions in exponential last-passage percolation Scaling for a one-dimensional directed polymer with boundary conditions
Reference 43
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-10T12:15:31.535606Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78e198e0-e262-4e66-a583-d32b3feb544f · outbound
This paper cites Coalescence estimates for the corner growth model with exponential weights.
Negative association of Busemann functions in exponential last-passage percolation Coalescence estimates for the corner growth model with exponential weights
Reference 44
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T12:15:32.418132Z
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 2dcf750c-1dec-4c85-9610-0e4c357c61d8 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 45
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.673818Z
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 07059d49-a13a-48ae-9506-1fee429825d4 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 46
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.655092Z
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 775d8902-ab8c-470e-bf46-d62ddd0a8d85 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T12:15:32.600036Z
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 7972004b-ebc6-45eb-91b8-b3569c0f3cf5 · outbound
This paper cites an unresolved cited work.
Negative association of Busemann functions in exponential last-passage percolation Unresolved cited work
Reference 48
- Resolution
- verified exact
- doi, observed 2026-08-10T12:15:31.630515Z
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.
Pith citing papers
No inbound Pith citation observations are available.