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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 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.475198Z digest=sha256:5462a4680894c61e4e0828d0e64fc2f7464b52dfbc4451b425d4c1666742824c

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.480100Z digest=sha256:1cb134ee11cd1c4b3ddc270d2487c57f984521c606c2847020c676bb4fb138ff

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.484239Z digest=sha256:9f6a2151076784ba19644f186720b415bee194cc579005f37a9570db38f3cbae

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.488650Z digest=sha256:8c1e06b65a5fe77ef00d63ea0cbf55f001439e8491cbc8d597d9ffed35c2e2bd

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.492655Z digest=sha256:209f4196b67b19c11d59853334e447f6844bb74a6ef6b48e71773caee0880309

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.496644Z digest=sha256:3f989cbb593167f8a2e9a483b570b218885725c35dde8b7f35ab73e6689e3fa6

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
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.500737Z digest=sha256:20b756aef019bc32ffc4e95f6aa8e241b97cebc5427b84c4b8daff9a17dd6699

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.505084Z digest=sha256:f4e2854feedda2efc83bf7f0349d24374b06789315f1604a5b47cbdba8be2b85

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.508592Z digest=sha256:39ba557fad14183ae10e4beaa5e8a786e9aa67e121d69a7adc52f8aeb7810e3b

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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.516377Z digest=sha256:867dd81bebc6fb8468c5ce5c2e57b70642eb12dbe5344b8a4036c70125f5ecea

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.522459Z digest=sha256:a082559edc4fa2ff0018a359a23f1f063f6fbc6c545827c038c23eabb0abe32a

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.525932Z digest=sha256:2102890db0b3b1e6d1149f9a0feaf5f2dc9782b310072a0b3e2c177bc25ecfb3

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.530586Z digest=sha256:40ae768810ff60f7e25211db4c772aca7c6e530236653318cd92bb80a8ce05ed

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.538912Z digest=sha256:6a5e6d331f52245355e9c413705d4bebc158645869a68e0ffd63704710b05db4

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.542486Z digest=sha256:47d94540402eb7776403ea3c9432d77e7c16ed701fa98bb90411be4a07b96ef9

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.546066Z digest=sha256:22251d74cd917822669867152004f6ea11ebf3fb304ffea697d66be2a3493d0c

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
raw_fallback, observed 2026-08-12T04:40:25.142852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.549868Z digest=sha256:739588a44ea22273ada4152a3b49f9960dbe2556e0d4dfbdf083166a1794d190

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.553570Z digest=sha256:1b59e3a38cdb961607fb1f903f6aebcb9829b39daf3a6eef5cc6fdbdef2f54e0

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
raw_fallback, observed 2026-08-12T04:40:25.117079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.557297Z digest=sha256:c0251c47d6550d38a171e50666ba004ad485eee4ef55ac8277dab44f3a772f93

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.561084Z digest=sha256:2eb30e8e0646d791a3919e0aa3c60561181bee1728f113724d500b2bd06fd9f9

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.564627Z digest=sha256:6039ddfa63488423eb2e151f4d1434dc861da3cd1d1ce02282388b430d825da5

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
raw_fallback, observed 2026-08-12T04:40:25.074436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.568472Z digest=sha256:0cdb66663310730e59c6aa1b207b52f34de0fce6cb6285b8b3acd93080184c30

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.573158Z digest=sha256:bb10cbd382ece1f248c61153b8cbf40519f1ca9715696ed074cd695368a2e50a

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.577213Z digest=sha256:863352f76ac7e5a5d4b7b20e9282bc6fe0d0ddc6707d553f9ad23e6cb270f641

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.580972Z digest=sha256:e6164024f9deb2c08bd0f153cb474259a9baeab43da712fe3f58dc5dc398e7a3

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.585387Z digest=sha256:fcb6efc867f733eda6b9f70da50f99998333a8fac3728225fd4e0b85a187baf5

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.589412Z digest=sha256:2525ba1e05753f540c0dc52e6df6025e5d472042d463c49cf877a32da526025c

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=sha256:776dab67daad396f83c8a5b416c29a5ccb363e29cebe37b79def5b1d1b17f8cd

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.600718Z digest=sha256:452cca99a529d02259ac1757304694ac876386eb7b7ab6a264fc67be57e272e4

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.604252Z digest=sha256:34057d68d897c28101367993d230664fc09317a06d89671057b5ce495991a497

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.607854Z digest=sha256:d15238f7f514369fffc38f1b0c00e0af827e74eab9c92e2e6d4837d339a7ba7c

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.612462Z digest=sha256:626bf806dbe2b7bba773352959f805a8d9503dfafb3efe86d66dae16c3e25fe2

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.616636Z digest=sha256:cd930f85b3f248862e3e10436c66506286db11dd0b3406724fde91cc711902d2

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.620660Z digest=sha256:3b9bbe1f3f4c88803c53a038b3050a484320a55a08e43a6f4a4e4cb8c9d727a9

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.624127Z digest=sha256:56a764629dcad48d7cfdaff2c2f4f65b8172579a52521a015f821758d5d88a62

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.627842Z digest=sha256:30df332ecd98d96e0d1651f1234cd43dd06024eacf32cd6b8facfda9efe940a0

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.631413Z digest=sha256:8a4dc738dae82796916c63e1ada0398f87dcc61b7b49443372198d81f256c100

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.635418Z digest=sha256:fc57cf757cbe998645a2ddc2d69252bc64d44b3957bb3d05fea27ed590031049

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.639049Z digest=sha256:28f2c43d47a8091a92198bf94b020ed76d36341ea233fac42076c57fe2a73903

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.642587Z digest=sha256:70f0da3fc0e6327ce5285189b5d2bf08dba251f215ac6bfcdae66bb56bc3aa53

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.646379Z digest=sha256:e90453457105e9d8144864ba988d4029cd2cea43474a1becae75199a8b0ad9cd

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.650137Z digest=sha256:99962ba2bc5df0a082dd26f4ec051e7866d9b81845d3b23944fd7545b99834f9

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.653596Z digest=sha256:2b6190c221f913118ffeadebe4931fff63d97a3f89caa7f29aed755fd629cefd

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.657257Z digest=sha256:3980119495069bc9a9e81029b9f86e9eeb3a31a311d442cd837774d951523749

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.661300Z digest=sha256:5bf520733c378e209551f6327fcbe90db3eae8d9f5fee6d64b424700a35e37a8

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.665004Z digest=sha256:5ea297b2a776ddb0033d161aa23d190474293cd2ec4eea5f83466957635aa85d

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.668645Z digest=sha256:9a63ecc1bd6d3e919c77a0f3046de2d9e06e4b816f6ab91400790bd889bcde55

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.673283Z digest=sha256:e39b7422c03b16a8d0c29bd71896820aab04cc0f16941bafdd1a0855383c9718

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.677237Z digest=sha256:4d71051765e16b4c5728d187b669c9c5cabc3a93abaa0f4547de136f6432d430

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T04:40:24.681106Z digest=sha256:943791080fe7adc35ecdf0d8126bf5a5128613f65e6641dafb14e87f6d072c97

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 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-05-09T19:14:17.930759Z digest=sha256:137eebb664307cfbd97fc51e02fea3b3a7cdc2636beb2dbc44fe4a8a8ec7f194