Paper Citation Record · LEDGER

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant

As of 22 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2411.11415.

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

pith.paper-citation-record.v1
2411.11415 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:42:34.056788Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

verified exact0
verified fuzzy27
unresolved10
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c3f6423-b676-4de2-af70-f1e063b7ff0e · outbound

This paper cites an unresolved cited work.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:42:34.553594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ffa21815-66b0-421c-baa3-b4034540a6e0 · outbound

This paper cites A simple proof of the P oincar \'e inequality for a large class of probability measures including the log-concave case.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant A simple proof of the P oincar \'e inequality for a large class of probability measures including the log-concave case

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.544575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 118a537d-0101-414a-9735-dda2fb9b4274 · outbound

This paper cites Metastability in reversible diffusion processes.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Metastability in reversible diffusion processes

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.535651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cd7d6e77-798e-48b0-bc1b-c1548a0c6a64 · outbound

This paper cites Kramers' law: validity, derivations and generalisations.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Kramers' law: validity, derivations and generalisations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.526710Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5d5e528e-025f-494e-b04b-746a28cf02ca · outbound

This paper cites Analysis and geometry of Markov diffusion operators , volume 103.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Analysis and geometry of Markov diffusion operators , volume 103

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.518418Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e051cbbb-5b55-43c2-a747-94e47c68f994 · outbound

This paper cites Erdogdu, Mufan (B.) Li, Ruoqi Shen, and Matthew S.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Erdogdu, Mufan (B.) Li, Ruoqi Shen, and Matthew S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.510174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c6c6124e-deb4-4529-96a4-174d984a2c76 · outbound

This paper cites Gerber, Holden Lee, and Chen Lu.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Gerber, Holden Lee, and Chen Lu

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.502022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 653d5f25-b36e-47f3-b9d5-ffbe7b73d72a · outbound

This paper cites A note on T alagrand’s transportation inequality and logarithmic S obolev inequality.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant A note on T alagrand’s transportation inequality and logarithmic S obolev inequality

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.492919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fc8b5bb3-5bf2-4796-a83c-b9ca1e4d48c5 · outbound

This paper cites Log-concave sampling.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Log-concave sampling

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.482433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3418e7c7-ac33-439a-a16d-1ebc4ff02765 · outbound

This paper cites Lojasiewicz inequalities and applications.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Lojasiewicz inequalities and applications

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T18:42:33.961854Z

Source-reported events for the cited work

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Observation 49974d0d-2412-4292-9448-141701699447 · outbound

This paper cites Gradient descent algorithms for B ures-- W asserstein barycenters.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Gradient descent algorithms for B ures-- W asserstein barycenters

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.472933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b60cf1a3-8ed4-4cd0-a6c1-a1dfc02b88cc · outbound

This paper cites Optimization, Isoperimetric Inequalities, and Sampling via Lyapunov Potentials.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Optimization, Isoperimetric Inequalities, and Sampling via Lyapunov Potentials

Reference 12

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T18:42:34.133941Z

Source-reported events for the cited work

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Observation a7068b29-944f-4209-9475-741b8df4d69a · outbound

This paper cites Further and stronger analogy between sampling and optimization: L angevin M onte C arlo and gradient descent.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Further and stronger analogy between sampling and optimization: L angevin M onte C arlo and gradient descent

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.463879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4e5729a3-2a8b-4d51-8bb7-6df24b961397 · outbound

This paper cites The activated complex in chemical reactions.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant The activated complex in chemical reactions

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.455338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 00d626fe-af82-484e-bf0d-1207db051f6a · outbound

This paper cites Metastability in reversible diffusion processes II : precise asymptotics for small eigenvalues.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Metastability in reversible diffusion processes II : precise asymptotics for small eigenvalues

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.340656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 739ec9fb-798f-4f50-bcbb-e56049d473c8 · outbound

This paper cites Gelfand and Sanjoy K.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Gelfand and Sanjoy K

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.331941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation adaf8d0e-1753-4199-bdd7-486d3b570f71 · outbound

This paper cites Holley, Shigeo Kusuoka, and Daniel W.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Holley, Shigeo Kusuoka, and Daniel W

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.323193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 42225807-424a-4f05-9aeb-48820e7be30f · outbound

This paper cites Linear convergence of gradient and proximal-gradient methods under the P olyak-- ojasiewicz condition.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Linear convergence of gradient and proximal-gradient methods under the P olyak-- ojasiewicz condition

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.314551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6b63b5cf-f8f5-436f-ad38-46045ec91e4c · outbound

This paper cites an unresolved cited work.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:42:34.306425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f26ad2ea-1131-4602-a5f7-58786c38936a · outbound

This paper cites Improved convergence rate of stochastic gradient L angevin dynamics with variance reduction and its application to optimization.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Improved convergence rate of stochastic gradient L angevin dynamics with variance reduction and its application to optimization

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.298050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a8b1077b-0a17-4be0-b771-56449f53bbad · outbound

This paper cites an unresolved cited work.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:42:34.288098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3c04ff5e-5723-4726-8716-1982c602ee4b · outbound

This paper cites On escape time, L yapunov function, P oincar\' e inequality, and the KLS conjecture beyond convexity.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant On escape time, L yapunov function, P oincar\' e inequality, and the KLS conjecture beyond convexity

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.278363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 497b9009-0fb7-4195-9582-f9ed00b042bd · outbound

This paper cites A topological property of real analytic subsets (in F rench).

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant A topological property of real analytic subsets (in F rench)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.267976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 18546a04-e987-4962-a45e-5c826f3bc7f7 · outbound

This paper cites Loss landscapes and optimization in over-parameterized non-linear systems and neural networks.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Loss landscapes and optimization in over-parameterized non-linear systems and neural networks

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.258083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 65bb102d-0b39-41ab-ac20-c16707ca5aca · outbound

This paper cites Poincar \'e and logarithmic S obolev inequalities by decomposition of the energy landscape.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Poincar \'e and logarithmic S obolev inequalities by decomposition of the energy landscape

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.248359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8b345fb9-ed22-448c-900e-02ad39ad00e3 · outbound

This paper cites The geometry of dissipative evolution equations: the porous medium equation.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant The geometry of dissipative evolution equations: the porous medium equation

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.239800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 875c84d9-8c44-416d-9817-52168f98f817 · outbound

This paper cites Generalization of an inequality by T alagrand and links with the logarithmic S obolev inequality.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Generalization of an inequality by T alagrand and links with the logarithmic S obolev inequality

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.231318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7531bab7-acdd-4586-b8e9-1b024b787d60 · outbound

This paper cites an unresolved cited work.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:42:34.221381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cd46ef5d-d87a-4cbd-8b53-c43f8fdc7af4 · outbound

This paper cites an unresolved cited work.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T18:42:34.210581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 95cb3f41-2dfd-45e1-8408-62cfc23879e1 · outbound

This paper cites Non-convex learning via stochastic gradient L angevin dynamics: a nonasymptotic analysis.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Non-convex learning via stochastic gradient L angevin dynamics: a nonasymptotic analysis

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.199320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d148b03e-dd44-48cd-b06e-2352b1524d27 · outbound

This paper cites On the sample complexity of entropic optimal transport.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant On the sample complexity of entropic optimal transport

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T18:42:34.033695Z

Source-reported events for the cited work

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Observation 05a50811-4035-4456-917f-0df7ffe91d33 · outbound

This paper cites Minimum intrinsic dimension scaling for entropic optimal transport.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Minimum intrinsic dimension scaling for entropic optimal transport

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-12T18:42:34.037503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2d8cc6b-12f2-451e-a922-612fcc72f55e · outbound

This paper cites Local optimality and generalization guarantees for the L angevin algorithm via empirical metastability.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Local optimality and generalization guarantees for the L angevin algorithm via empirical metastability

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.187335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 268ac784-0787-4687-8243-74eee2c3bba8 · outbound

This paper cites Topics in optimal transportation , volume 58 of Graduate Studies in Mathematics.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Topics in optimal transportation , volume 58 of Graduate Studies in Mathematics

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.176216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 971dc17f-dcd1-4145-b5e3-613b5031f706 · outbound

This paper cites Analysis for diffusion processes on R iemannian manifolds , volume 18 of Advanced Series on Statistical Science & Applied Probability.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Analysis for diffusion processes on R iemannian manifolds , volume 18 of Advanced Series on Statistical Science & Applied Probability

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.166431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 70cd5209-ced4-41eb-8325-2a9ce8bbbc5f · outbound

This paper cites Uniform log-Sobolev inequalities for mean field particles with flat-convex energy.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Uniform log-Sobolev inequalities for mean field particles with flat-convex energy

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-12T18:42:34.050208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebdc08a1-3257-4dc2-8817-c3dfd25353f8 · outbound

This paper cites Global Convergence of Langevin Dynamics Based Algorithms for Nonconvex Optimization.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant Global Convergence of Langevin Dynamics Based Algorithms for Nonconvex Optimization

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-12T18:42:34.053500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0b0ea2b-5c20-4193-b40c-ee77b19bd308 · outbound

This paper cites A hitting time analysis of stochastic gradient L angevin dynamics.

The ballistic limit of the log-Sobolev constant equals the Polyak-{\L}ojasiewicz constant A hitting time analysis of stochastic gradient L angevin dynamics

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T18:42:34.156591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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