Paper Citation Record · LEDGER

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo

As of 15 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2509.15410.

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pith.paper-citation-record.v1
2509.15410 v2

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measured 26 of 26 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T16:06:55.979700Z

measured 26 of 26 standing notices

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

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26 of 26 outbound references displayed

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Outbound references

Observation 3cf6772a-ea6d-41a6-918b-13f77eabe21e · outbound

This paper cites Analysis and geometry of M arkov diffusion operators , volume 348 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Analysis and geometry of M arkov diffusion operators , volume 348 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.487748Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 29297d2e-9cd9-4e7d-be72-57b49729e3e0 · outbound

This paper cites Concentration of measure on product spaces with applications to M arkov processes.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Concentration of measure on product spaces with applications to M arkov processes

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.476186Z

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Observation f3f3e534-49bc-474e-b7b0-88279d72966e · outbound

This paper cites Bobkov and Prasad Tetali.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Bobkov and Prasad Tetali

Reference 3

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Observation ac18af6f-a6ed-472d-a4c3-78bb66745d1d · outbound

This paper cites Moment inequalities for functions of independent random variables.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Moment inequalities for functions of independent random variables

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.448390Z

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Observation 096fafbf-6852-4bde-be0f-d319551dbc38 · outbound

This paper cites Heat flow, log-concavity, and Lipschitz transport maps.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Heat flow, log-concavity, and Lipschitz transport maps

Reference 5

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Observation a5edd4b7-f034-4864-9734-130eb69e2f42 · outbound

This paper cites Entropies, convexity, and functional inequalities, on -entropies and -sobolev inequalities.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Entropies, convexity, and functional inequalities, on -entropies and -sobolev inequalities

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.433581Z

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Observation e2630871-a36b-40d8-aa67-9115ca3a5eba · outbound

This paper cites Dimension-free log- S obolev inequalities for mixture distributions.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Dimension-free log- S obolev inequalities for mixture distributions

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T16:06:55.907902Z

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Observation ea87e141-df60-4fe3-ba0f-c550f501e30f · outbound

This paper cites Improved analysis for a proximal algorithm for sampling.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Improved analysis for a proximal algorithm for sampling

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.418173Z

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Observation 9baab9b5-7158-4c60-9c66-d11bcd107a04 · outbound

This paper cites Optimal convergence rate of hamiltonian monte carlo for strongly logconcave distributions.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Optimal convergence rate of hamiltonian monte carlo for strongly logconcave distributions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.403459Z

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Observation 5b650056-88b7-4326-932d-09f12acc0aa5 · outbound

This paper cites Analysis of langevin monte carlo from poincare to log-sobolev.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Analysis of langevin monte carlo from poincare to log-sobolev

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T16:06:55.919456Z

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Unavailable: canonical work link unavailable.

Observation 297f7b59-9f70-4129-a299-4cba31c8c322 · outbound

This paper cites Log- S obolev inequalities and sampling from log-concave distributions.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Log- S obolev inequalities and sampling from log-concave distributions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.383422Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 158528ad-e4d3-4e02-a569-75ca7b8ec544 · outbound

This paper cites Simulated Tempering Langevin Monte Carlo II: An Improved Proof using Soft Markov Chain Decomposition.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Simulated Tempering Langevin Monte Carlo II: An Improved Proof using Soft Markov Chain Decomposition

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T16:06:55.928007Z

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Observation 05893f25-fa04-404a-ad72-f8e742a0e001 · outbound

This paper cites Westdickenberg.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Westdickenberg

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.369982Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c1efa12d-e97a-47e3-bcad-407ef8bf3f2d · outbound

This paper cites Modified log- S obolev inequalities for strong- R ayleigh measures.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Modified log- S obolev inequalities for strong- R ayleigh measures

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.357005Z

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 81621c3b-8c7a-4d12-af3d-5ccaf7324e5a · outbound

This paper cites Elementary bounds on P oincar\'e and log- S obolev constants for decomposable M arkov chains.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Elementary bounds on P oincar\'e and log- S obolev constants for decomposable M arkov chains

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.343743Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0976eccd-1104-49ed-81d9-2d0ddd196ba7 · outbound

This paper cites The concentration of measure phenomenon, volume 89 of Mathematical Surveys and Monographs.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo The concentration of measure phenomenon, volume 89 of Mathematical Surveys and Monographs

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.328557Z

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 7f64723c-29e6-4b76-a7d5-fe1057602387 · outbound

This paper cites Structured Logconcave Sampling with a Restricted Gaussian Oracle.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Structured Logconcave Sampling with a Restricted Gaussian Oracle

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.314967Z

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Observation 892df648-9c0a-467e-b8f6-4de1f4e01fd9 · outbound

This paper cites Characterizing Dependence of Samples along the Langevin Dynamics and Algorithms via Contraction of $\Phi$-Mutual Information.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Characterizing Dependence of Samples along the Langevin Dynamics and Algorithms via Contraction of $\Phi$-Mutual Information

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T16:06:55.949490Z

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Observation 128eb38a-ab07-46cf-891e-2b93c65cbcc5 · outbound

This paper cites Sampling for Bayesian Mixture Models: MCMC with Polynomial-Time Mixing.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Sampling for Bayesian Mixture Models: MCMC with Polynomial-Time Mixing

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T16:06:55.953357Z

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Observation 3984e2da-459e-473e-bc21-4458a21b5b09 · outbound

This paper cites Mcmc using hamiltonian dynamics.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Mcmc using hamiltonian dynamics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T16:06:55.957538Z

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Unavailable: canonical work link unavailable.

Observation 8ff3db77-4831-4e7e-8770-6f510cdfa5b9 · outbound

This paper cites Reznikoff.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Reznikoff

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.294112Z

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 b5b3bf2f-7a14-4d8e-bbe2-f102fbb2781d · outbound

This paper cites Roberts and Richard L.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Roberts and Richard L

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.280884Z

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 ff2fda2e-7d90-4f0d-a4e6-3d8957724735 · outbound

This paper cites Tyrrell Rockafellar.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Tyrrell Rockafellar

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.268789Z

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 651bf068-991b-48f9-90f8-9b3111784289 · outbound

This paper cites Vempala and Andre Wibisono.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Vempala and Andre Wibisono

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.255229Z

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 65c48d5c-b17e-455c-b649-e354282e350e · outbound

This paper cites Wainwright.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Wainwright

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:06:56.241700Z

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 434efcfb-b3c6-435d-a28d-917ecd66c84a · outbound

This paper cites Information and estimation in fokker-planck channels.

Two-scale criteria for Poincar\'{e} and log-Sobolev inequalities with applications to Markov chain Monte Carlo Information and estimation in fokker-planck channels

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T16:06:55.979700Z

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