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Paper Citation Record · LEDGER

One- and two-particle spectral gap identities for the symmetric inclusion process and related models

As of 21 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2412.01489.

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

pith.paper-citation-record.v1
2412.01489 v2

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:40:24.681106Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:01:45.102583Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T15:47:11.019630Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact3
  • verified fuzzy42
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5a29cd0-c964-4eff-ba50-6ce2873b74a6 · outbound

This paper cites Alcaraz, Michel Droz, Malte Henkel, and Vladimir Rittenberg.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Alcaraz, Michel Droz, Malte Henkel, and Vladimir Rittenberg

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.475198Z digest=sha256:ae82b82da221ceccad2f8b3ce7e3e89163eec35e4b28c4d5ee01f111fd5a4ea9

Observation c44a69ff-dfec-4905-8f27-5cc55540681a · outbound

This paper cites R eversible M arkov C hains and R andom W alks on G raphs, 2002.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models R eversible M arkov C hains and R andom W alks on G raphs, 2002

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.339818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.480100Z digest=sha256:7b7bac9a7c23ea4f76bab574c4e0e41d41e2f1ff1412f70d9398c9d0483bfcbb

Observation c2230bc4-1ffb-4428-92d5-d6496b9d5353 · outbound

This paper cites Entropy inequalities for random walks and permutations.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Entropy inequalities for random walks and permutations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.328082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.484239Z digest=sha256:1496b728c3550dcb981d06f382fcce5306e8867a1297c9f31a7c4044baaab45d

Observation a5830229-e9da-467a-bfee-7a264292b2d9 · outbound

This paper cites Metastability in the reversible inclusion process.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Metastability in the reversible inclusion process

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.317163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.488650Z digest=sha256:b612e2228170c029498b011627da0263607eb01d5438cc267c011db7bc1cae8f

Observation c404bdc0-3d98-4f4b-b869-56b3b1fb0717 · outbound

This paper cites Metastability , volume 351 of Grundlehren der mathematischen Wissenschaften.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Metastability , volume 351 of Grundlehren der mathematischen Wissenschaften

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.305566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.492655Z digest=sha256:1edb1ef5d3c7fdafb73a8acb190474be98153eae67e7bdb603e16596c3bbeb48

Observation ed46c061-f9e6-4440-8ca6-f969d847cbbc · outbound

This paper cites On the spectral gap of the K ac walk and other binary collision processes.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models On the spectral gap of the K ac walk and other binary collision processes

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.293930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.496644Z digest=sha256:8d7c1248c56b9e4272a02580bf7c4ad06d27addca3f413d3a8119f43f25b2604

Observation f906a706-c393-4b9b-ab43-9cbbd5ffb1cd · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.500737Z digest=sha256:8867138e3370e236ac1e8669e7b126dab3426b8980c5e814dc317b312e8b77b5

Observation 092a11f9-e8b3-41c4-8b7d-f039fee07b46 · outbound

This paper cites Duality for stochastic models of transport.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality for stochastic models of transport

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.505084Z digest=sha256:0b7bc029ed65b6247f1d6388f26970fd9f589250e981624c35baa8d623eee0ce

Observation ed268f5d-a041-4e07-ada6-600c4947f705 · outbound

This paper cites Mixing time of the adjacent walk on the simplex.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mixing time of the adjacent walk on the simplex

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.256261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.508592Z digest=sha256:e431f336276e42cf1e27582d0c2e8698304da9c02bc1af5a78e3e27500bfdb86

Observation bca5518a-c0c6-4c81-a6dc-5e041bf877ba · outbound

This paper cites Liggett, and Thomas Richthammer.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Liggett, and Thomas Richthammer

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.243557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation d2be4340-674e-4b3b-971d-42d13d2eb2a7 · outbound

This paper cites On the spectrum of a neutral multi-allelic M oran model.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models On the spectrum of a neutral multi-allelic M oran model

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.230989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.516377Z digest=sha256:372fd10b848adbb1dccdaaba8203f1884e61d25c5ad722e301698ea88cf17c05

Observation 082021b0-8430-43b5-9b08-d54d8f89f883 · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:25.218568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.522459Z digest=sha256:4bcc41c6cfd661eb8ec36be4230b1aff719a7751d1565df8ee70ffde89ff944a

Observation f25e3b07-7176-4004-9584-1c9485b09794 · outbound

This paper cites Derrida, M.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Derrida, M

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.525932Z digest=sha256:8d187f488d49251b12fba0183cc272c1b214adfca10931b86003e8b4d361bb84

Observation d607a233-e0ed-47c6-92c9-bea80db23175 · outbound

This paper cites Ferrari, and Davide Gabrielli.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Ferrari, and Davide Gabrielli

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.195758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.530586Z digest=sha256:95ec012d6320d4aff4b8484122c2e53796cd35b31066d4117ad8a24b23bb7150

Observation ae324e57-d767-4b49-8097-5fbd101b8fe7 · outbound

This paper cites Mathematical methods for hydrodynamic limits , volume 1501 of Lecture Notes in Mathematics.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mathematical methods for hydrodynamic limits , volume 1501 of Lecture Notes in Mathematics

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T04:40:24.535262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:40:24.535262Z digest=sha256:975f89ee4db29b96b1a6a7a7c27ddcd8b14a2fdcff27880406dcc939cc20e167

Observation d8647236-1791-4331-baa6-f17eca679308 · outbound

This paper cites Comparison theorems for reversible M arkov chains.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Comparison theorems for reversible M arkov chains

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.177180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.538912Z digest=sha256:18ff882f4306ef2eaee4dd0f0de598f7d072a03c7ea369c15d7a6b42e6826521

Observation 08375523-29bd-45d0-b4a3-adb3610fff97 · outbound

This paper cites D ynamics on Graphs , 2024.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models D ynamics on Graphs , 2024

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.542486Z digest=sha256:a26a15b6f2eecba34396398702d7f9a25e66fbd162424d4c45fc9e3b540d166e

Observation 5f002ff2-661c-427d-87a3-7a4771658216 · outbound

This paper cites Ethier and Thomas G.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Ethier and Thomas G

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.153735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.546066Z digest=sha256:56d86d2110dff83313d52e4460b1c4e8919dbb048c7a51fa14d0af46db0ef57a

Observation 6c872e9d-2dce-4318-8d8e-8a862f603354 · outbound

This paper cites Integrable heat conduction model.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Integrable heat conduction model

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.549868Z digest=sha256:c45e070f0d93edc930d7e3fc03aba34c39ca36f26cd95795b9a7e2174a82bb15

Observation de5eea41-6c33-4f0b-b867-4d2b0c6548c1 · outbound

This paper cites Duality and hidden equilibrium in transport models.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality and hidden equilibrium in transport models

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.130105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.553570Z digest=sha256:53f4fea158da0d1d5c45c6bb9abb70b3f556eb3983106968c496593d1b0069cf

Observation cc99969f-7a03-4d1c-908f-0c41dc614f8c · outbound

This paper cites Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.557297Z digest=sha256:800f13cd0d8eb42d7004cf0dd135ee0fa45a8f11542124ffe8a510e501a68e9a

Observation 1368f4e4-01b8-4fd4-83ac-e58f3dc82149 · outbound

This paper cites Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.102336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.561084Z digest=sha256:65309f12f92af8bc540e258af3ee2d68bc1104dda8bca5f897adf19fd9ac09d3

Observation 1fdc4a84-2c28-43db-9179-4d14bc8c0c46 · outbound

This paper cites Duality and exact correlations for a model of heat conduction.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality and exact correlations for a model of heat conduction

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.087472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.564627Z digest=sha256:659a6915e2d99050984e55b34d6b137c62c6bde6bece713483ba2c131e6b9d9c

Observation bc19a542-6d88-4380-86af-96b50ce49ff5 · outbound

This paper cites Duality and hidden symmetries in interacting particle systems.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality and hidden symmetries in interacting particle systems

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.568472Z digest=sha256:e967eecc3f2543d79c57a6d538e9dd787f82b1d635dfede8042c474cfc1adfaf

Observation 03474fd3-d9d9-4396-8bbe-cb6ad0dac7bb · outbound

This paper cites Intertwining and propagation of mixtures for generalized KMP models and harmonic models.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Intertwining and propagation of mixtures for generalized KMP models and harmonic models

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:40:24.765702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.573158Z digest=sha256:aa79bf089fb12243529c437c6bda51b680bd63a10ad0c557f9ee2b466c2ecfd8

Observation bbc9130e-eea5-4b96-801c-36bb8e90c0bb · outbound

This paper cites Dynamics of condensation in the symmetric inclusion process.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Dynamics of condensation in the symmetric inclusion process

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.061297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.577213Z digest=sha256:9a53c9e8c4db9bec748f6d55b12d563df6e0f27bfd5afaab3c47393631b5c3ec

Observation ec1516bc-b06b-4fd3-8ab3-79ed1323887b · outbound

This paper cites Relaxation times are stationary hitting times of large sets.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Relaxation times are stationary hitting times of large sets

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:40:24.748615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.580972Z digest=sha256:c977ccb5c0d6ef3cacc6975a8de049e7113b7baccae5a9c7a099a63dfc3db19b

Observation 63a3f78e-b75e-46b4-82be-18c0519325fe · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:25.049433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.585387Z digest=sha256:df1156e58f33b120f6aaa19b6c313484dace174b91322352a3529ad7800c2ebd

Observation 8526f92b-8d85-4cb3-be9d-fcbd6e818cc1 · outbound

This paper cites Second time scale of the metastability of reversible inclusion processes.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Second time scale of the metastability of reversible inclusion processes

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.036143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.589412Z digest=sha256:9575f6b3c15310e50edb85ecb3fe49da48fd943f0ee14cc2e95f2af9af12a09e

Observation de6a907e-76b3-450a-8888-bdeb8db04b3a · outbound

This paper cites Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-12T04:40:24.593213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:40:24.593213Z digest=sha256:3fe7ba92b572c33d6f90af7ed221f74e9fd4fc91ba9e16f5ef4d0760709a694a

Observation 03b37881-48d2-4ade-bf5f-6bf043ef977b · outbound

This paper cites Scaling limits of interacting particle systems , volume 320 of Grundlehren der Mathematischen Wissenschaften.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Scaling limits of interacting particle systems , volume 320 of Grundlehren der Mathematischen Wissenschaften

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-12T04:40:24.597146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T04:40:24.597146Z digest=sha256:a1496c665875e2b69d62ea1980ec00cf58043c9a678681014a2a16d835afd881

Observation b5721a4b-6950-4509-9dc4-bd4e9d1d1dc7 · outbound

This paper cites Lesky, and Ren\'e F.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Lesky, and Ren\'e F

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.014490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.600718Z digest=sha256:4a77be5097777fc15b9b130da5a66643099c98e83d233fb7d28c45e12468e50d

Observation 5f384649-a7df-4435-94a7-7b04446e1226 · outbound

This paper cites Kipnis, C.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Kipnis, C

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:25.002966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.604252Z digest=sha256:21aa16412f21a1688a1139b70f7e8ee154e0aac156940953b5b956a1d08d8411

Observation 7ab78730-b449-43ad-88fb-70edc0116005 · outbound

This paper cites Condensation and metastable behavior of non-reversible inclusion processes.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Condensation and metastable behavior of non-reversible inclusion processes

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.991690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.607854Z digest=sha256:765c4c76598308ed236c715c988d9e98fa1ebd84210cd4daf7b9336c555941fc

Observation 62a98489-e208-4f67-96da-143c48be6df0 · outbound

This paper cites Spectral gap of the symmetric inclusion process.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Spectral gap of the symmetric inclusion process

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.980011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.612462Z digest=sha256:7e875d362dea93fa9be5357d62a4626c6755f2ac3dc770eb7f42c78d228c98e9

Observation fd333b98-196f-4a72-b39d-2066beaa4c9b · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:24.967441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.616636Z digest=sha256:7e3974cdc77a56d270c017f6672c2d2cfb75ae2484e9ea7af1e8dc325c7c3b6c

Observation 7c695363-4397-4a2b-b202-a62816bbe2fb · outbound

This paper cites Metastable M arkov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Metastable M arkov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.955836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.620660Z digest=sha256:b519e65d7a84918b95f31cc3f067a638d16632c94928ec6291437d2cf8c7ad0a

Observation 58fa986c-49a6-4220-b2fe-56d32f3a5ee1 · outbound

This paper cites Levin and Yuval Peres.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Levin and Yuval Peres

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.944892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.624127Z digest=sha256:198b90cf742304a222ee09a9703a17ef00923e8a74c864315adf0e69f8e222c8

Observation f89f9c99-14f7-41c1-a297-56d3588f5350 · outbound

This paper cites Mathematical aspects of mixing times in M arkov chains.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mathematical aspects of mixing times in M arkov chains

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.933303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.627842Z digest=sha256:cba2bedb51fe226f4babff727a2945abf577eb98b8059edeac5b1c23a382bad3

Observation 3c0c8785-10a9-48a2-8921-300b07c25585 · outbound

This paper cites Mixing of the symmetric beta-binomial splitting process on arbitrary graphs.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mixing of the symmetric beta-binomial splitting process on arbitrary graphs

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:40:24.720264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.631413Z digest=sha256:0a1182d9407d58f5f113ee4f0bba7f7b443636c40bf4085f251d919fa28c0aa1

Observation 307d8fae-b70e-4433-a615-c5f8cb7445f0 · outbound

This paper cites Mixing of the averaging process and its discrete dual on finite-dimensional geometries.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Mixing of the averaging process and its discrete dual on finite-dimensional geometries

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.921534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.635418Z digest=sha256:d349f8dbb965f70602e2f2fbc5fcba1c87c03c13752780a0e808bc04ca735494

Observation e4c079ce-9d48-43af-a80b-ce2f5b553b04 · outbound

This paper cites Factorized duality, stationary product measures and generating functions.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Factorized duality, stationary product measures and generating functions

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.909455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.639049Z digest=sha256:133d81b12f918db85045690a94a4b9e264e8bbfb29572025ed5741cb9613c83c

Observation 72be8365-89f5-402f-a060-a0e0d72ff050 · outbound

This paper cites Universality of cutoff for exclusion with reservoirs.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Universality of cutoff for exclusion with reservoirs

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.898147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.642587Z digest=sha256:68decb11bf9836f2b5ce70b11ab8f7d00b7c2c6b2b38ac921b132b8178640e99

Observation 2caafe20-00c5-4e9d-a27b-2e94457d2827 · outbound

This paper cites Spectral gap and curvature of monotone M arkov chains.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Spectral gap and curvature of monotone M arkov chains

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.887204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.646379Z digest=sha256:b04ed9e814c19ec266cdd57bba42bf4cdbf633d5fd75341ec8eaeb8ca4453f8b

Observation 9cb05ab9-5f1c-4d4c-a1fc-a55f25c15807 · outbound

This paper cites Spectral gap for stochastic energy exchange model with nonuniformly positive rate function.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Spectral gap for stochastic energy exchange model with nonuniformly positive rate function

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.875595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.650137Z digest=sha256:cc3e8b6127ab13cbaa7fe7bf2b6c6e15d669272edf4b96904364c3c1eed929d5

Observation eb4a4887-1269-43ff-8608-4662426946f4 · outbound

This paper cites Lectures on finite M arkov chains.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Lectures on finite M arkov chains

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.862767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.653596Z digest=sha256:689061425de9ffce6834372143638f2f1c80a164bfa6aa24a0b9f8a813cd8de5

Observation f465e1f2-7572-404d-b8fe-74088aa83377 · outbound

This paper cites an unresolved cited work.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-12T04:40:24.850699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.657257Z digest=sha256:8d16098e878acbd98e5cbdc810bb5645fc3bf161926b8d3e81f65b1721b6ac92

Observation 4704c857-8bc3-4044-a35d-66dd3f08887e · outbound

This paper cites \' E quations diff\' e rentielles provenant de la g\' e n\' e tique des populations.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models \' E quations diff\' e rentielles provenant de la g\' e n\' e tique des populations

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.838597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.661300Z digest=sha256:4954a7a4d87da6903f7be404d3d43e8998717f6adc9518af22ef022b73361190

Observation 86cc0e20-4f20-4a9b-89a5-8c75d48f596a · outbound

This paper cites A G ibbs sampler on the n -simplex.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models A G ibbs sampler on the n -simplex

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.826739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.665004Z digest=sha256:c911ab3c45803bbe62b9965c2d169e19bdd369856845f044e081890ca597fb81

Observation 79b265f7-4859-41a9-8a97-71f67abcbb69 · outbound

This paper cites Interaction of M arkov processes.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Interaction of M arkov processes

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.814127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.668645Z digest=sha256:d02cc4431caa891f0f52dac885a5beb87c6f30d9a56360fc106277591f5ac7c8

Observation 062a3490-6900-49ac-8aad-883a74d0ba89 · outbound

This paper cites Long range correlations for stochastic lattice gases in a nonequilibrium steady state.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Long range correlations for stochastic lattice gases in a nonequilibrium steady state

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.802238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.673283Z digest=sha256:6051dff9e425e1988953842abd4d6edc5ab421f0210bcc971bf0cba0f3c4ceea

Observation 4b96c17e-5a06-48db-87e2-763ac5259a4d · outbound

This paper cites Large scale dynamics of interacting particles.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Large scale dynamics of interacting particles

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.791444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.677237Z digest=sha256:7ac972f0dee53b85736e45d83b0e2f7eb090a41343e97b03cc35615ea8e15fd0

Observation 43ad44c3-41ec-4e78-b3f9-fee5f13f4065 · outbound

This paper cites Nash inequality for diffusion processes associated with D irichlet distributions.

One- and two-particle spectral gap identities for the symmetric inclusion process and related models Nash inequality for diffusion processes associated with D irichlet distributions

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T04:40:24.779434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.681106Z digest=sha256:2eb820e533d7a75e429500af7cfcb2043428646642d002d41aea6e05759791c3

Pith citing papers

Observation c9f18038-5f75-4cc5-bd30-95b4500ba955 · inbound

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs cites this paper.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs One- and two-particle spectral gap identities for the symmetric inclusion process and related models

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-16T01:01:45.102583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T01:01:45.102583Z digest=sha256:2ce96b4c041cd3d9c31ef13c8e812e0c9789cdcffdb9781b44b41483045e2264

Observation 31f6bebe-5620-4f65-9c7a-dc19ce520677 · inbound

Convergence of the Condensing Symmetric Inclusion Process on the Torus in the Thermodynamical Limit to Coalescing Brownian Motions cites this paper.

Convergence of the Condensing Symmetric Inclusion Process on the Torus in the Thermodynamical Limit to Coalescing Brownian Motions One- and two-particle spectral gap identities for the symmetric inclusion process and related models

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-06-23T04:13:37.958066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-05-09T19:14:17.930759Z digest=sha256:00f4cb34118c32aa57e22763807572444eefeb2fb1b3802e0a59c479af072e4d