Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:29:35.964356Z
Paper Citation Record · LEDGER
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph
As of 15 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:1908.09406.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-08T17:06:56.478924Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-08T17:06:56.518632Z
Reference resolution
24 of 24 outbound references displayed
- verified exact5
- verified fuzzy18
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 30e28199-1d20-4639-ac65-7b201e9b60fb · outbound
This paper cites Shuffling cards and stopping times.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Shuffling cards and stopping times
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.438944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 428135e0-a079-433b-98b9-9fd2c96e536d · outbound
This paper cites Comparing with octopi.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Comparing with octopi
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:29:36.143807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation edd32662-2dce-4037-b430-264706a8e5a8 · outbound
This paper cites Character ization of cutoff for reversible Markov chains.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Character ization of cutoff for reversible Markov chains
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.423650Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a9cffe37-cceb-4b97-b92d-17c99cbc752b · outbound
This paper cites Mixing time s for random k-cycles and coalescence-fragmentation chains.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Mixing time s for random k-cycles and coalescence-fragmentation chains
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.408187Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b7311ece-ed2c-4bde-977a-5cb6392f73c3 · outbound
This paper cites Cutoff for conjugacy-invariant random walks on the permutation group.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Cutoff for conjugacy-invariant random walks on the permutation group
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:29:36.122345Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6653fa24-f221-4013-abf4-4ea333e97983 · outbound
This paper cites Liggett, Thomas Richthammer.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Liggett, Thomas Richthammer
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.392349Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3428e3a3-6840-435d-a232-d677ff06c6c2 · outbound
This paper cites Generating a random per mutation with random trans- positions.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Generating a random per mutation with random trans- positions
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.376394Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b67cd69c-1a60-403c-bb6a-c428593919ce · outbound
This paper cites Time to reach stationarit y in the Bernoulli–Laplace urn model, SIAM Journal on Mathematical Analysis 18 (1987), No.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Time to reach stationarit y in the Bernoulli–Laplace urn model, SIAM Journal on Mathematical Analysis 18 (1987), No
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.361587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e6a383eb-7597-431e-aaec-52d9e4e88a3f · outbound
This paper cites Total-variation cutoff in birth-and-death chains, Prob- ability Theory Related Fields 146 (2010), 61–85.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Total-variation cutoff in birth-and-death chains, Prob- ability Theory Related Fields 146 (2010), 61–85
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.345276Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bb81afee-1b94-4dae-a3bb-b380f7829957 · outbound
This paper cites Mixing times for neighbour transposition shuffl es on graphs, Chalmers Uni- versity of Technology, 2011.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Mixing times for neighbour transposition shuffl es on graphs, Chalmers Uni- versity of Technology, 2011
Reference 10
- Resolution
- verified exact
- raw_fallback, observed 2026-08-14T11:29:36.101635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b7649036-6f37-4134-8ac5-ff0e0a76365a · outbound
This paper cites Forsstr¨ om and Johan Jonasson.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Forsstr¨ om and Johan Jonasson
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.328900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6154e0ad-5349-45aa-b1d8-0e9f2573cb03 · outbound
This paper cites Helfgott.
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.313146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 75ba9edb-7d81-4c67-960a-4a106df6bab2 · outbound
This paper cites The exclusion process mixes (almost) faster than independent particles.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph The exclusion process mixes (almost) faster than independent particles
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:29:36.029336Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a0fb259f-e734-4600-897e-6928242db410 · outbound
This paper cites The interchange process on high-dimensional products.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph The interchange process on high-dimensional products
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:29:36.007635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 58865ff9-c673-43b9-8331-0438973146ba · outbound
This paper cites Mixing times for the interchange process, ALEA, Lat.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Mixing times for the interchange process, ALEA, Lat
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.298948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 452f376e-755b-484b-8fd3-c146a019bdfd · outbound
This paper cites Mixing time and cutoff for the adjacent transpo sition shuffle and the simple exclusion, The Annals of Probability 44 (2016), No.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Mixing time and cutoff for the adjacent transpo sition shuffle and the simple exclusion, The Annals of Probability 44 (2016), No
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.282882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation db936f54-f28f-416f-a816-d000c4591342 · outbound
This paper cites The cutoff profile for the simple exclusion proces s on the circle.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph The cutoff profile for the simple exclusion proces s on the circle
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.267481Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7c57d08a-7a37-4e92-ade0-8aae98d56a80 · outbound
This paper cites Cutoff phenomenon for the simp le exclusion process on the complete graph.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Cutoff phenomenon for the simp le exclusion process on the complete graph
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.251728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9dd8ed87-85d2-468c-9945-52feab4317f0 · outbound
This paper cites Levin, Yuval Peres, Elizabeth L.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Levin, Yuval Peres, Elizabeth L
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.236948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 45ed6420-c1b6-4bef-a82a-7ed9b7b799c8 · outbound
This paper cites Bounds on Mixing Times in the Bernoulli–La place Dif- fusion Model — Elementary proofs for variation distance and first p assage times.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Bounds on Mixing Times in the Bernoulli–La place Dif- fusion Model — Elementary proofs for variation distance and first p assage times
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.221585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b83f24df-a87e-4ba6-886e-c6c084169fbe · outbound
This paper cites Cutoff on all Ramanujan grap hs.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Cutoff on all Ramanujan grap hs
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.205051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3ba52faf-fd5f-4b28-a00e-85af47d42a9d · outbound
This paper cites A strong uniform time for random transposit ions.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph A strong uniform time for random transposit ions
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.189965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2dfda0be-a1eb-4981-9193-7d0a4db82ab1 · outbound
This paper cites Oliveira.
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:29:36.174896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 80c886ff-e49c-4aad-b242-1a20a2aee1f5 · outbound
This paper cites an unresolved cited work.
Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:29:36.159787Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation 222576e2-6806-432d-9b89-7d97fd2abf1f · inbound
Cutoff for congestion dynamics and related generalized exclusion processes cites this paper.
Cutoff for congestion dynamics and related generalized exclusion processes Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-08T17:06:56.525708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.