Paper Citation Record · LEDGER

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

As of 20 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 3 inbound Pith citation observations for arXiv:2505.02400.

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

pith.paper-citation-record.v1
2505.02400 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:01:45.203924Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:24:05.758531Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T20:46:13.383967Z

Reference resolution

42 of 42 outbound references displayed

verified exact1
verified fuzzy17
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67410c6e-4a71-4b4e-95e9-822965445482 · outbound

This paper cites Analysis and geometry of M arkov diffusion operators , volume 348 of Grundlehren der mathematischen Wissenschaften.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Analysis and geometry of M arkov diffusion operators , volume 348 of Grundlehren der mathematischen Wissenschaften

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:46.021285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d8cf3639-d519-4759-94fd-fabec0f21f01 · outbound

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

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs On the spectral gap of the K ac walk and other binary collision processes

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:44.931284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07ebabf2-7639-45d3-a29b-a9c8c2751cf2 · outbound

This paper cites an unresolved cited work.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:44.938153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9610f356-accd-4f92-a30b-0bb328d4301b · outbound

This paper cites Carlen, Maria C.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Carlen, Maria C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.975188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5b7ca080-28d3-4300-81dc-00e91d742ace · outbound

This paper cites Large D eviations and A dditivity P rinciple for the O pen H armonic P rocess.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Large D eviations and A dditivity P rinciple for the O pen H armonic P rocess

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.956402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 02393826-357b-4ecd-b223-3a7cfa72db04 · outbound

This paper cites Carinci, C.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Carinci, C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.935320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 302aec24-2fdf-4cc3-a767-703b83f3e87d · outbound

This paper cites Consistent particle systems and duality.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Consistent particle systems and duality

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.916074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5b379b70-c3eb-4e91-bf63-0880e3506c68 · outbound

This paper cites Eigenvalues, inequalities, and ergodic theory.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Eigenvalues, inequalities, and ergodic theory

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.896096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c4c0e22a-bfbc-4aa4-b40e-2b4dc030aa81 · outbound

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

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Mixing time of the adjacent walk on the simplex

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:44.972470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a98d9fdd-4a1c-4b59-9c83-5c4b018a8c32 · outbound

This paper cites Liggett, and Thomas Richthammer.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Liggett, and Thomas Richthammer

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:44.977493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ade5b912-a35c-4e25-ba64-bc54bf6d83f3 · outbound

This paper cites Spectral Gap for the Stochastic Exchange Model.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Spectral Gap for the Stochastic Exchange Model

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-16T01:01:45.290111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d14f8604-281b-45ee-bfce-847df0af57d1 · outbound

This paper cites A universal cutoff phenomenon for mean-field exchange models.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs A universal cutoff phenomenon for mean-field exchange models

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.847223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b403c0da-f8dc-4d98-b889-360991510a1e · outbound

This paper cites Duality and stationary distributions of wealth distribution models.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Duality and stationary distributions of wealth distribution models

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.822015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8c3a8173-d7b2-417a-9545-e2acdb68c2f5 · outbound

This paper cites Estimation of spectral gap for elliptic operators.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Estimation of spectral gap for elliptic operators

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.796602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a96629e1-e3cb-4377-b36c-dbc2d054188d · outbound

This paper cites Ferrari, and Davide Gabrielli.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Ferrari, and Davide Gabrielli

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.007414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88489c7b-0554-4f8d-aa1a-b41d069545fc · outbound

This paper cites Integrable heat conduction model.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Integrable heat conduction model

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.014159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62fecf10-001d-415c-935d-85cb4462cd88 · outbound

This paper cites Exact solution of an integrable non-equilibrium particle system.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Exact solution of an integrable non-equilibrium particle system

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.743474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f8063c9e-fe54-495f-8039-0490a6378350 · outbound

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

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Duality and hidden symmetries in interacting particle systems

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.027048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 962855c2-88b3-4112-9951-66ba9620c1e1 · outbound

This paper cites Grigo, K.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Grigo, K

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.037415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0752ba14-5846-4b2a-ad9d-985240d6380f · outbound

This paper cites Duality and stationary distributions of the ``immediate exchange model'' and its generalizations.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Duality and stationary distributions of the ``immediate exchange model'' and its generalizations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.696981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 51947d5d-4592-4116-8478-8cdab0525332 · outbound

This paper cites Intertwining and P ropagation of M ixtures for G eneralized KMP M odels and H armonic M odels.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Intertwining and P ropagation of M ixtures for G eneralized KMP M odels and H armonic M odels

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.050590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c34d0b8-ebc2-4ac5-97f3-e5adf1c34593 · outbound

This paper cites Uniform contractivity in W asserstein metric for the original 1 D K ac's model.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Uniform contractivity in W asserstein metric for the original 1 D K ac's model

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.653257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b32d3146-8e05-4928-87ac-028427daa15d · outbound

This paper cites A version of A ldous' spectral-gap conjecture for the zero range process.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs A version of A ldous' spectral-gap conjecture for the zero range process

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.628228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 04ce9c6a-0747-426f-8915-e96244890aac · outbound

This paper cites Spectral gap for K ac's model of B oltzmann equation.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Spectral gap for K ac's model of B oltzmann equation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.605925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 964c7c96-ee58-4511-9a8e-a4ae6efffce4 · outbound

This paper cites an unresolved cited work.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.083819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cddaa77b-c179-4a57-8121-84134a538267 · outbound

This paper cites The immediate exchange model: an analytical investigation.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs The immediate exchange model: an analytical investigation

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.563256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 576a93b8-9f59-4943-ae61-a912faa830f9 · outbound

This paper cites Kipnis, C.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Kipnis, C

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.096552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites One- and two-particle spectral gap identities for the symmetric inclusion process and related models.

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.

Observation a9aa52b4-b1dd-412c-ad18-c48cc6b52d5b · outbound

This paper cites Spectral gap of the symmetric inclusion process.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Spectral gap of the symmetric inclusion process

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.109231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 604ed3d1-b3d1-4b6b-8ad3-cb2eea91ff9a · outbound

This paper cites an unresolved cited work.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.116396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8503285f-8dd7-4653-af5c-08d4f9b4533b · outbound

This paper cites Levin and Yuval Peres.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Levin and Yuval Peres

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.125529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eee1438f-ddc6-4df7-9430-381ca50691b7 · outbound

This paper cites Hydrodynamic limit and cutoff for the biased adjacent walk on the simplex.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Hydrodynamic limit and cutoff for the biased adjacent walk on the simplex

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.133495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c11f0489-45a9-47d5-8a5b-2b032def6474 · outbound

This paper cites Spectral gap and logarithmic S obolev inequality for K awasaki and G lauber dynamics.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Spectral gap and logarithmic S obolev inequality for K awasaki and G lauber dynamics

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.464079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 829b11ee-09be-415f-bead-782b558327ab · outbound

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

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Mixing of the averaging process and its discrete dual on finite-dimensional geometries

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.147782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 565c64fc-561d-45bb-bda7-a461c76640b2 · outbound

This paper cites Methods of modern mathematical physics.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Methods of modern mathematical physics

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.154845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18bac0d0-6afa-4a0a-b7e6-ea9b0d0fcf7d · outbound

This paper cites Generalized immediate exchange models and their symmetries.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Generalized immediate exchange models and their symmetries

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:01:45.409151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4c9dc3c4-b7cf-43ef-acc1-d200753b8979 · outbound

This paper cites Mixing points on a circle.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Mixing points on a circle

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.171487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92f27ba5-274c-4f6a-b4b1-3ca523269f00 · outbound

This paper cites Universality of cutoff for exclusion with reservoirs.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Universality of cutoff for exclusion with reservoirs

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.178297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation beeb66ac-fadb-46c9-97fc-a032a5d83092 · outbound

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

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Spectral gap and curvature of monotone M arkov chains

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.185837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b38478f0-0c68-493b-b87e-141a03d09f10 · outbound

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

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Spectral gap for stochastic energy exchange model with nonuniformly positive rate function

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.191964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 539dfe5c-61a0-46b1-a5d5-48e38e283b7d · outbound

This paper cites Lectures on finite M arkov chains.

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs Lectures on finite M arkov chains

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.197506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99adc19b-46d3-4cee-834d-d6e5fdbcd5d3 · outbound

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

Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs A G ibbs sampler on the n -simplex

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T01:01:45.203924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 774e3f79-f9aa-4162-8ac3-315bb334b576 · inbound

A universal cutoff phenomenon for mean-field exchange models cites this paper.

A universal cutoff phenomenon for mean-field exchange models Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T20:24:05.758531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7b1486f-d6f0-42f3-b291-235fbf47bfe1 · inbound

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ cites this paper.

Pathological Large Deviations of the KMP Process in Dimension $d\ge 2$ Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

Reference 37

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T16:23:39.582959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c4893af0-7ce9-4336-b5d4-e6cda84678e7 · inbound

On a $\Lambda$-mutation model and the harmonic model cites this paper.

On a $\Lambda$-mutation model and the harmonic model Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-01T20:46:13.385910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.