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Paper Citation Record · LEDGER

Geometry of geodesics through Busemann measures in directed last-passage percolation

As of 18 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:1908.09040.

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

pith.paper-citation-record.v1
1908.09040 v3

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:29:36.152326Z

measured 53 of 53 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

53 of 53 outbound references displayed

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External citation measurements

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Outbound references

Observation c64131e6-b6e5-4e97-8237-06c5d346216e · outbound

This paper cites Random coalescing geodesics in first-passage percolation.

Geometry of geodesics through Busemann measures in directed last-passage percolation Random coalescing geodesics in first-passage percolation

Reference 1

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Observation 5eff0766-a90e-4a0b-a890-b0fbb750b548 · outbound

This paper cites 50 years of first passage percolation, volume 68 of University Lecture Series.

Geometry of geodesics through Busemann measures in directed last-passage percolation 50 years of first passage percolation, volume 68 of University Lecture Series

Reference 2

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Observation e3e3fcfd-b5b1-4b4f-b937-25a574451366 · outbound

This paper cites On the distribution of the length of the longest increasing subsequence of random permutations.

Geometry of geodesics through Busemann measures in directed last-passage percolation On the distribution of the length of the longest increasing subsequence of random permutations

Reference 3

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Observation 0c853d0a-2d4a-4fa8-8a1c-e9ac4baf4351 · outbound

This paper cites Inviscid Burgers equation with random kick forcing in noncompact setting.

Geometry of geodesics through Busemann measures in directed last-passage percolation Inviscid Burgers equation with random kick forcing in noncompact setting

Reference 4

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Observation 6da113c0-fe65-4e06-9331-5493a55e7ff4 · outbound

This paper cites Space-time stationary solutions for the Burgers equation.

Geometry of geodesics through Busemann measures in directed last-passage percolation Space-time stationary solutions for the Burgers equation

Reference 5

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Observation b4fc4fa3-4007-4bd9-82a5-a4bdcdfff80b · outbound

This paper cites On global solutions of the random Hamilton-Jacobi equations and the KPZ problem.

Geometry of geodesics through Busemann measures in directed last-passage percolation On global solutions of the random Hamilton-Jacobi equations and the KPZ problem

Reference 6

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Observation e78cc905-cb42-4aac-8864-42b19a8fb9b6 · outbound

This paper cites Thermodynamic limit for directed polymers and stationary solutions of the Burgers equation.

Geometry of geodesics through Busemann measures in directed last-passage percolation Thermodynamic limit for directed polymers and stationary solutions of the Burgers equation

Reference 7

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Observation 8878f134-0e12-4147-b4a7-05f88b666cfd · outbound

This paper cites Non-existence of bi-infinite geodesics in the exponential corner growth model.

Geometry of geodesics through Busemann measures in directed last-passage percolation Non-existence of bi-infinite geodesics in the exponential corner growth model

Reference 8

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Observation 287fcead-44a7-455f-bee5-a7d8b92afd2a · outbound

This paper cites Nonexistence of Bigeodesics in Integrable Models of Last Passage Percolation.

Geometry of geodesics through Busemann measures in directed last-passage percolation Nonexistence of Bigeodesics in Integrable Models of Last Passage Percolation

Reference 9

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Observation 4b142d97-5ab4-47dc-a1a1-ea9e90f766af · outbound

This paper cites Burgers turbulence.Phys.

Geometry of geodesics through Busemann measures in directed last-passage percolation Burgers turbulence.Phys

Reference 10

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Observation e7fd9e66-61b1-4095-a54d-ea600ee54ccf · outbound

This paper cites an unresolved cited work.

Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 11

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Observation bccb93b9-eca3-4184-877e-ddfd208bc800 · outbound

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Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 12

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Observation 7ade6186-0127-41a7-b309-e437b6cb7b39 · outbound

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Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 13

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Observation a4a27c9d-0978-44e3-97b0-27f9005b84d9 · outbound

This paper cites The Kardar-Parisi-Zhang equation and universality class.

Geometry of geodesics through Busemann measures in directed last-passage percolation The Kardar-Parisi-Zhang equation and universality class

Reference 14

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Observation d5ee5574-8f5e-4419-a95a-43729f3633cc · outbound

This paper cites Kardar-Parisi-Zhang universality.

Geometry of geodesics through Busemann measures in directed last-passage percolation Kardar-Parisi-Zhang universality

Reference 15

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Observation 1cb3d358-fbb9-4796-a466-03077980b030 · outbound

This paper cites Multiple geodesics with the same direction.

Geometry of geodesics through Busemann measures in directed last-passage percolation Multiple geodesics with the same direction

Reference 16

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Observation 14be2aba-26ae-4062-968e-5729c2333a44 · outbound

This paper cites Busemann functions and infinite geodesics in two-dimensional first-passage percolation.

Geometry of geodesics through Busemann measures in directed last-passage percolation Busemann functions and infinite geodesics in two-dimensional first-passage percolation

Reference 17

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Observation 732192f8-1eda-49ad-b137-05b99f06a5bf · outbound

This paper cites Bigeodesics in First-Passage Percolation.

Geometry of geodesics through Busemann measures in directed last-passage percolation Bigeodesics in First-Passage Percolation

Reference 18

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Observation 2ceec5f2-cbe7-4030-a643-cf88d7a8a2f3 · outbound

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Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 19

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Observation 152ecd06-19d9-4634-98ad-c612acf2cc09 · outbound

This paper cites Khanin, A.

Geometry of geodesics through Busemann measures in directed last-passage percolation Khanin, A

Reference 20

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Observation 9933d489-ebc1-4008-b89d-49552e6320ac · outbound

This paper cites A two-dimensional growth process.

Geometry of geodesics through Busemann measures in directed last-passage percolation A two-dimensional growth process

Reference 21

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Observation a87d14b1-5373-440d-b913-6d5e17fc8aac · outbound

This paper cites Joint distribution of Busemann functions in the exactly solvable corner growth model.

Geometry of geodesics through Busemann measures in directed last-passage percolation Joint distribution of Busemann functions in the exactly solvable corner growth model

Reference 22

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Observation 00f2dd62-d801-4fdc-85e0-ac015ea4658d · outbound

This paper cites An introduction to probability theory and its applications.

Geometry of geodesics through Busemann measures in directed last-passage percolation An introduction to probability theory and its applications

Reference 23

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Observation e242380a-4ac5-4b62-bb44-40ca0cd07beb · outbound

This paper cites An introduction to probability theory and its applications.

Geometry of geodesics through Busemann measures in directed last-passage percolation An introduction to probability theory and its applications

Reference 24

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Observation 5f7be348-3e3d-4dbb-80b6-98da29f66ba4 · outbound

This paper cites Ferrari, James B.

Geometry of geodesics through Busemann measures in directed last-passage percolation Ferrari, James B

Reference 25

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Observation f69e7023-8772-49f5-8f65-4d24322bd059 · outbound

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Geometry of geodesics through Busemann measures in directed last-passage percolation Ferrari and Leandro P

Reference 26

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Observation d666c75e-246d-4b49-a296-b15e8d1634d7 · outbound

This paper cites Geodesics and the competition interface for the corner growth model.

Geometry of geodesics through Busemann measures in directed last-passage percolation Geodesics and the competition interface for the corner growth model

Reference 27

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Observation 1a15b4d4-e1b2-477d-9905-dad3a9187026 · outbound

This paper cites Stationary cocycles and Busemann functions for the corner growth model.

Geometry of geodesics through Busemann measures in directed last-passage percolation Stationary cocycles and Busemann functions for the corner growth model

Reference 28

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Observation f32c7927-3722-4217-b175-9e92c3662817 · outbound

This paper cites Glynn and Ward Whitt.

Geometry of geodesics through Busemann measures in directed last-passage percolation Glynn and Ward Whitt

Reference 29

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Observation 63c02645-ae53-4cf2-86a7-821a8e1e4249 · outbound

This paper cites Takeuchi.

Geometry of geodesics through Busemann measures in directed last-passage percolation Takeuchi

Reference 30

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Observation 56b542ba-2fe4-4fef-a63d-70fdbc29e558 · outbound

This paper cites Hammersley and J.

Geometry of geodesics through Busemann measures in directed last-passage percolation Hammersley and J

Reference 31

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Observation 053aa585-c740-4607-a2db-926800f175d6 · outbound

This paper cites Geodesics in first passage percolation.

Geometry of geodesics through Busemann measures in directed last-passage percolation Geodesics in first passage percolation

Reference 32

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Observation c8816c7c-5590-4057-a3e1-7080950280e3 · outbound

This paper cites Douglas Howard and Charles M.

Geometry of geodesics through Busemann measures in directed last-passage percolation Douglas Howard and Charles M

Reference 33

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Observation e0fc455d-01b0-4f2f-b79b-e0e3ccc44eea · outbound

This paper cites Douglas Howard and Charles M.

Geometry of geodesics through Busemann measures in directed last-passage percolation Douglas Howard and Charles M

Reference 34

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Observation 643bdba4-e996-46da-8b01-9c6d03c2793f · outbound

This paper cites Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$.

Geometry of geodesics through Busemann measures in directed last-passage percolation Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$

Reference 35

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Unavailable: canonical work link unavailable.

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Observation a6b1a647-8771-4b92-a105-62f9e737359d · outbound

This paper cites Busemann functions and Gibbs measures in directed polymer models on Z2.

Geometry of geodesics through Busemann measures in directed last-passage percolation Busemann functions and Gibbs measures in directed polymer models on Z2

Reference 36

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6388ba02-1c93-436f-988c-3cca45495690 · outbound

This paper cites Shape fluctuations and random matrices.

Geometry of geodesics through Busemann measures in directed last-passage percolation Shape fluctuations and random matrices

Reference 37

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ac9eb445-5242-47b1-be91-0f8a9dbcae27 · outbound

This paper cites Random measures.

Geometry of geodesics through Busemann measures in directed last-passage percolation Random measures

Reference 38

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0838196c-e901-49f5-94d0-a8004672aa7b · outbound

This paper cites Random measures, theory and applications , volume 77 of Probability Theory and Stochastic Modelling.

Geometry of geodesics through Busemann measures in directed last-passage percolation Random measures, theory and applications , volume 77 of Probability Theory and Stochastic Modelling

Reference 39

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c151aa5c-9a0e-4187-8e1b-842b207c60c4 · outbound

This paper cites an unresolved cited work.

Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 40

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 785fd5d8-ea15-4f89-93d8-bb8ff4ec2543 · outbound

This paper cites an unresolved cited work.

Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 41

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 08d99c01-cf4a-4bbd-975b-094644c778a1 · outbound

This paper cites an unresolved cited work.

Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 42

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation bfaf0d40-2e59-4cc8-93f5-066fd17b2888 · outbound

This paper cites an unresolved cited work.

Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 43

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9968a844-d737-4757-871b-b40452fd0efc · outbound

This paper cites Introduction to KPZ.

Geometry of geodesics through Busemann measures in directed last-passage percolation Introduction to KPZ

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e06b73b3-960f-4aea-a9ad-fe3a4924c2c4 · outbound

This paper cites The one-dimensional KPZ equation and its universality class.

Geometry of geodesics through Busemann measures in directed last-passage percolation The one-dimensional KPZ equation and its universality class

Reference 45

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a5f907c7-5db7-43ed-8d4b-19b619f653eb · outbound

This paper cites World Scientific Publishing Co.

Geometry of geodesics through Busemann measures in directed last-passage percolation World Scientific Publishing Co

Reference 46

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a16980ce-d38a-41b5-a016-975b1e83cf61 · outbound

This paper cites Nonequilibrium behaviour of a many particle process: density profile and local equilibria.

Geometry of geodesics through Busemann measures in directed last-passage percolation Nonequilibrium behaviour of a many particle process: density profile and local equilibria

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:36.296878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation fe41e706-eb88-42e8-b2d3-f1524645c036 · outbound

This paper cites Hydrodynamic scaling, convex duality and asymptotic shapes of growth models.

Geometry of geodesics through Busemann measures in directed last-passage percolation Hydrodynamic scaling, convex duality and asymptotic shapes of growth models

Reference 48

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e650cb84-5e83-4b11-9e80-e25a668817ff · outbound

This paper cites an unresolved cited work.

Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:29:36.274940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 40bba58b-1125-44db-b702-ba876a6b5820 · outbound

This paper cites an unresolved cited work.

Geometry of geodesics through Busemann measures in directed last-passage percolation Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:29:36.264373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 47dcc3bf-f5d0-43c2-bade-fce3441bfd2f · outbound

This paper cites Tracy and Harold Widom.

Geometry of geodesics through Busemann measures in directed last-passage percolation Tracy and Harold Widom

Reference 51

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c3606014-53c4-45be-a44c-50668299cd39 · outbound

This paper cites W¨ uthrich.

Geometry of geodesics through Busemann measures in directed last-passage percolation W¨ uthrich

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:29:36.243332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 392b020b-a49d-4ae7-9fa3-64ec748bc262 · outbound

This paper cites Random coalescing geodesics in first-passage percolation.

Geometry of geodesics through Busemann measures in directed last-passage percolation Random coalescing geodesics in first-passage percolation

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-14T11:29:35.979800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

No inbound Pith citation observations are available.