Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T04:40:24.681106Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T04:40:24.681106Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T01:01:45.102583Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T15:47:11.019630Z
53 of 53 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d5a29cd0-c964-4eff-ba50-6ce2873b74a6 · outbound
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
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 c44a69ff-dfec-4905-8f27-5cc55540681a · outbound
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
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 c2230bc4-1ffb-4428-92d5-d6496b9d5353 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Entropy inequalities for random walks and permutations
Reference 3
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 a5830229-e9da-467a-bfee-7a264292b2d9 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Metastability in the reversible inclusion process
Reference 4
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 c404bdc0-3d98-4f4b-b869-56b3b1fb0717 · outbound
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
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 ed46c061-f9e6-4440-8ca6-f969d847cbbc · outbound
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
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 f906a706-c393-4b9b-ab43-9cbbd5ffb1cd · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work
Reference 7
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 092a11f9-e8b3-41c4-8b7d-f039fee07b46 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality for stochastic models of transport
Reference 8
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 ed268f5d-a041-4e07-ada6-600c4947f705 · outbound
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
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 bca5518a-c0c6-4c81-a6dc-5e041bf877ba · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Liggett, and Thomas Richthammer
Reference 10
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 d2be4340-674e-4b3b-971d-42d13d2eb2a7 · outbound
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
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 082021b0-8430-43b5-9b08-d54d8f89f883 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work
Reference 12
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 f25e3b07-7176-4004-9584-1c9485b09794 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Derrida, M
Reference 13
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 d607a233-e0ed-47c6-92c9-bea80db23175 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Ferrari, and Davide Gabrielli
Reference 14
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 ae324e57-d767-4b49-8097-5fbd101b8fe7 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8647236-1791-4331-baa6-f17eca679308 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Comparison theorems for reversible M arkov chains
Reference 16
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 08375523-29bd-45d0-b4a3-adb3610fff97 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models D ynamics on Graphs , 2024
Reference 17
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 5f002ff2-661c-427d-87a3-7a4771658216 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Ethier and Thomas G
Reference 18
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 6c872e9d-2dce-4318-8d8e-8a862f603354 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Integrable heat conduction model
Reference 19
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 de5eea41-6c33-4f0b-b867-4d2b0c6548c1 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Duality and hidden equilibrium in transport models
Reference 20
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 cc99969f-7a03-4d1c-908f-0c41dc614f8c · outbound
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
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 1368f4e4-01b8-4fd4-83ac-e58f3dc82149 · outbound
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
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 1fdc4a84-2c28-43db-9179-4d14bc8c0c46 · outbound
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
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 bc19a542-6d88-4380-86af-96b50ce49ff5 · outbound
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
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 03474fd3-d9d9-4396-8bbe-cb6ad0dac7bb · outbound
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
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 bbc9130e-eea5-4b96-801c-36bb8e90c0bb · outbound
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
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 ec1516bc-b06b-4fd3-8ab3-79ed1323887b · outbound
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
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 63a3f78e-b75e-46b4-82be-18c0519325fe · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work
Reference 28
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 8526f92b-8d85-4cb3-be9d-fcbd6e818cc1 · outbound
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
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 de6a907e-76b3-450a-8888-bdeb8db04b3a · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03b37881-48d2-4ade-bf5f-6bf043ef977b · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5721a4b-6950-4509-9dc4-bd4e9d1d1dc7 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Lesky, and Ren\'e F
Reference 32
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 5f384649-a7df-4435-94a7-7b04446e1226 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Kipnis, C
Reference 33
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 7ab78730-b449-43ad-88fb-70edc0116005 · outbound
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
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 62a98489-e208-4f67-96da-143c48be6df0 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Spectral gap of the symmetric inclusion process
Reference 35
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 fd333b98-196f-4a72-b39d-2066beaa4c9b · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work
Reference 36
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 7c695363-4397-4a2b-b202-a62816bbe2fb · outbound
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
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 58fa986c-49a6-4220-b2fe-56d32f3a5ee1 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Levin and Yuval Peres
Reference 38
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 f89f9c99-14f7-41c1-a297-56d3588f5350 · outbound
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
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 3c0c8785-10a9-48a2-8921-300b07c25585 · outbound
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
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 307d8fae-b70e-4433-a615-c5f8cb7445f0 · outbound
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
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 e4c079ce-9d48-43af-a80b-ce2f5b553b04 · outbound
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
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 72be8365-89f5-402f-a060-a0e0d72ff050 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Universality of cutoff for exclusion with reservoirs
Reference 43
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 2caafe20-00c5-4e9d-a27b-2e94457d2827 · outbound
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
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 9cb05ab9-5f1c-4d4c-a1fc-a55f25c15807 · outbound
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
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 eb4a4887-1269-43ff-8608-4662426946f4 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Lectures on finite M arkov chains
Reference 46
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 f465e1f2-7572-404d-b8fe-74088aa83377 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Unresolved cited work
Reference 47
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 4704c857-8bc3-4044-a35d-66dd3f08887e · outbound
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
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 86cc0e20-4f20-4a9b-89a5-8c75d48f596a · outbound
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
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 79b265f7-4859-41a9-8a97-71f67abcbb69 · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Interaction of M arkov processes
Reference 50
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 062a3490-6900-49ac-8aad-883a74d0ba89 · outbound
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
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 4b96c17e-5a06-48db-87e2-763ac5259a4d · outbound
One- and two-particle spectral gap identities for the symmetric inclusion process and related models Large scale dynamics of interacting particles
Reference 52
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 43ad44c3-41ec-4e78-b3f9-fee5f13f4065 · outbound
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
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 c9f18038-5f75-4cc5-bd30-95b4500ba955 · inbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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 One- and two-particle spectral gap identities for the symmetric inclusion process and related models
Reference 14
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.