Paper Citation Record · LEDGER

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model

As of 22 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.09841.

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

pith.paper-citation-record.v1
2607.09841 v1

Coverage vector

measured 28 of 28 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T15:07:47.159141Z

measured 28 of 28 standing notices

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

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

28 of 28 outbound references displayed

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Outbound references

Observation d788fd0d-6438-4c4d-ac7b-f607465e231d · outbound

This paper cites Sequential Sweeps and High Dimensional Expansion.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Sequential Sweeps and High Dimensional Expansion

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 1657a71f-1c20-45e3-a91e-5ce79b71d804 · outbound

This paper cites Convergence properties of the Gibbs sampler for perturbations of Gaussians.The Annals of Statistics, 24(1):122–140, 1996.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Convergence properties of the Gibbs sampler for perturbations of Gaussians.The Annals of Statistics, 24(1):122–140, 1996

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 1eb1d487-7910-406e-bddd-d442ce6d610d · outbound

This paper cites Spatial mixing and nonlocal Markov chains.Random Structures & Algorithms, 55(3):584–614, 2019.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Spatial mixing and nonlocal Markov chains.Random Structures & Algorithms, 55(3):584–614, 2019

Reference 3

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Observation bc657649-74b7-41b2-9431-72747460504a · outbound

This paper cites Mean-field Potts and random-cluster dynamics from high-entropy initializations.The Annals of Applied Probability, 36(1):393 – 450, 2026.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Mean-field Potts and random-cluster dynamics from high-entropy initializations.The Annals of Applied Probability, 36(1):393 – 450, 2026

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation ba568d8f-0620-409a-85f7-575d3eee11df · outbound

This paper cites Cutoff for the Swendsen–Wang Dynamics on the Complete Graph.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Cutoff for the Swendsen–Wang Dynamics on the Complete Graph

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 4c09d0f4-cbec-4a41-9250-502df1b2dc61 · outbound

This paper cites Rapid Mixing of Global Markov Chains via Spectral Indepen- dence: The Unbounded Degree Case.Algorithmica, 88(1):19, 2026.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Rapid Mixing of Global Markov Chains via Spectral Indepen- dence: The Unbounded Degree Case.Algorithmica, 88(1):19, 2026

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 0716b541-6ba6-41f3-b120-4ad12b4699d9 · outbound

This paper cites The statistical mechanics of lattice gases: Vol.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model The statistical mechanics of lattice gases: Vol

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation d37bae44-6bb4-4574-bc7f-e739ed2a664a · outbound

This paper cites Solidarity of Gibbs Samplers: the spectral gap.The Annals of Applied Probability, 35(1):142–157, 2025.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Solidarity of Gibbs Samplers: the spectral gap.The Annals of Applied Probability, 35(1):142–157, 2025

Reference 8

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Observation 12fc1bd2-d309-417d-8751-9da3811d3720 · outbound

This paper cites an unresolved cited work.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Unresolved cited work

Reference 9

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Observation 590f5347-0e33-4f9b-bfe3-ef10c300711f · outbound

This paper cites Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques.Michigan Mathematical Journal, 48(1):157–190, 2000.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques.Michigan Mathematical Journal, 48(1):157–190, 2000

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 4b4b20c2-00a0-4c21-901e-0ce698b3ac61 · outbound

This paper cites Censored Glauber dynamics for the mean field Ising model.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Censored Glauber dynamics for the mean field Ising model

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation c111aa4c-3a56-4d9d-be4e-653a8b83d9ec · outbound

This paper cites The mixing time evolution of Glauber dynamics for the mean-field Ising model.Communications in Mathematical Physics, 289(2):725–764, 2009.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model The mixing time evolution of Glauber dynamics for the mean-field Ising model.Communications in Mathematical Physics, 289(2):725–764, 2009

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation d7d22944-dfb9-4147-a76b-729c27e51772 · outbound

This paper cites Systematic Scan for Sampling Colorings.The Annals of Applied Probability, pages 185–230, 2006.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Systematic Scan for Sampling Colorings.The Annals of Applied Probability, pages 185–230, 2006

Reference 13

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Observation 034c507e-97c8-46bc-9bde-8099e61a0028 · outbound

This paper cites Dobrushin conditions and systematic scan.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Dobrushin conditions and systematic scan

Reference 14

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Observation 4ff6ef8a-eda0-4e8d-8698-200c9f01af9f · outbound

This paper cites Matrix norms and rapid mixing for spin systems.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Matrix norms and rapid mixing for spin systems

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 7dbf97b1-803d-4e77-babb-c68fe04b2d02 · outbound

This paper cites Comparison theorems for the mixing times of systematic and random scan dynamics.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Comparison theorems for the mixing times of systematic and random scan dynamics

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 8242e837-061f-4acd-94ba-394f8a81eb4e · outbound

This paper cites Swendsen-Wang algorithm on the mean-field Potts model.Random Structures & Algorithms, 54(1):82–147, 2019.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Swendsen-Wang algorithm on the mean-field Potts model.Random Structures & Algorithms, 54(1):82–147, 2019

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 8f82309e-a42d-49f7-8ddc-df3b3433fc3c · outbound

This paper cites Layerwise systematic scan: Deep Boltzmann machines and beyond.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Layerwise systematic scan: Deep Boltzmann machines and beyond

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation dc44c372-16c9-4783-9b0f-96b6bb883f7c · outbound

This paper cites A simple condition implying rapid mixing of single-site dynamics on spin systems.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model A simple condition implying rapid mixing of single-site dynamics on spin systems

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 7e325664-cfde-4831-82f3-dbe7dd8ea30e · outbound

This paper cites Scan order in Gibbs sampling: Models in which it matters and bounds on how much.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Scan order in Gibbs sampling: Models in which it matters and bounds on how much

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 963dede9-1edf-486e-a881-224681c49c57 · outbound

This paper cites Systematic scanning Glauber dynamics for the mean-field Ising model.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Systematic scanning Glauber dynamics for the mean-field Ising model

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation cb8c28b6-7e09-4785-a90e-968048230eca · outbound

This paper cites Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability.Probability Theory and Related Fields, 146(1):223, 2010.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability.Probability Theory and Related Fields, 146(1):223, 2010

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 1433e5a0-ccb5-4cd4-a947-314a07e75f38 · outbound

This paper cites Levin, Yuval Peres, and Elizabeth L.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Levin, Yuval Peres, and Elizabeth L

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation e6ef16dc-90cd-4947-83c0-7810afccc24f · outbound

This paper cites Cutoff Phenomenon for Cyclic Dynamics on Hypercube.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Cutoff Phenomenon for Cyclic Dynamics on Hypercube

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T15:07:47.159141Z

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Observation 651c23ca-2bb0-4db3-907a-281708489491 · outbound

This paper cites Can extra updates delay mixing?Communications in Mathematical Physics, 323(3):1007–1016, 2013.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Can extra updates delay mixing?Communications in Mathematical Physics, 323(3):1007–1016, 2013

Reference 25

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Observation 42160ca7-0ab0-405a-9be7-deae0bb29ac3 · outbound

This paper cites Surprising Convergence Properties of Some Simple Gibbs Samplers under Various Scans.International Journal of Statistics and Probability, 5(4):112–121, 2016.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Surprising Convergence Properties of Some Simple Gibbs Samplers under Various Scans.International Journal of Statistics and Probability, 5(4):112–121, 2016

Reference 26

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Observation f6a1e96f-6a84-4169-9eb9-d23ed5182553 · outbound

This paper cites Cambridge Series in Statistical and Probabilistic Mathematics.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Cambridge Series in Statistical and Probabilistic Mathematics

Reference 27

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Observation e99af69d-25f2-4b4f-b2ce-e0e2b96fe0bd · outbound

This paper cites Towards high-throughput Gibbs sampling at scale: A study across storage managers.

Mixing and cutoff for the systematic scan dynamics of the mean-field ferromagnetic Potts model Towards high-throughput Gibbs sampling at scale: A study across storage managers

Reference 28

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