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Paper Citation Record · LEDGER

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces

As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:1908.03397.

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pith.paper-citation-record.v1
1908.03397 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:28:22.518919Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

39 of 39 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7143f3ef-46fd-4600-bf48-aed2c625a497 · outbound

This paper cites Diffusions hypercontractives.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Diffusions hypercontractives

Reference 1

Resolution
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Observation 5fca1313-f9f4-40bb-bc27-94e67d16d600 · outbound

This paper cites A kinetic equation for granular media.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces A kinetic equation for granular media

Reference 2

Resolution
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Observation c2b4347b-2ee5-4e6e-ab24-eb6993689c7c · outbound

This paper cites Unif orm convergence to equilibrium for granular media.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Unif orm convergence to equilibrium for granular media

Reference 3

Resolution
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Source-reported events for the cited work

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Observation 7a9bd8f1-e2c0-448e-b7fa-fa2fccb014c4 · outbound

This paper cites Limits of relative entropies associated with weakly interacting particle systems.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Limits of relative entropies associated with weakly interacting particle systems

Reference 4

Resolution
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Observation d3d6194d-023a-403b-9bf4-1b546381b7cb · outbound

This paper cites Local stability of Kol- mogorov forward equations for finite state nonlinear Markov processes.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Local stability of Kol- mogorov forward equations for finite state nonlinear Markov processes

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 50f8749b-1ee1-4dd6-88e5-a0dbf2099bc2 · outbound

This paper cites Convex e ntropy decay via the Bochner-Bakry- Emery approach.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Convex e ntropy decay via the Bochner-Bakry- Emery approach

Reference 6

Resolution
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Observation 501b6f73-5787-4517-9e1c-486d55050db0 · outbound

This paper cites Entropy dissipation es timates in a zero-range dynamics.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Entropy dissipation es timates in a zero-range dynamics

Reference 7

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Source-reported events for the cited work

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Observation b4a410ee-d40a-446c-97e7-5cec0edafcd9 · outbound

This paper cites an unresolved cited work.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Unresolved cited work

Reference 8

Resolution
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Source-reported events for the cited work

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Observation 7d52c4e2-c020-4108-bb5a-688b1d84fdf0 · outbound

This paper cites Carrillo, Robert J.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Carrillo, Robert J

Reference 9

Resolution
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Source-reported events for the cited work

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Observation 2e18eb43-5152-47b8-8d12-e26fd090dd08 · outbound

This paper cites Carrillo, Robert J.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Carrillo, Robert J

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 72a2d066-8027-4807-a5fd-3b84312bbad3 · outbound

This paper cites Stochastic Cucker–Smale models: Old and new.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Stochastic Cucker–Smale models: Old and new

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4f8bfd22-02fe-46f4-90a7-f9ccb7746425 · outbound

This paper cites Probabilistic approach for granular media equations in the non-uniformly convex case.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Probabilistic approach for granular media equations in the non-uniformly convex case

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 0f1561ef-ac4b-4867-82f7-83f3ceffd105 · outbound

This paper cites Fokke r-Planck equations for a free energy functional or Markov process on a graph.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Fokke r-Planck equations for a free energy functional or Markov process on a graph

Reference 13

Resolution
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Source-reported events for the cited work

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Observation a8f49578-f727-4e46-ac28-089d77f9a46a · outbound

This paper cites Processus des misanthro pes.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Processus des misanthro pes

Reference 14

Resolution
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Source-reported events for the cited work

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Observation 216ef81f-edb8-42df-bad3-7ad5be70aea0 · outbound

This paper cites Eulerian calculus fo r the displacement convexity in the Wasser- stein distance.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Eulerian calculus fo r the displacement convexity in the Wasser- stein distance

Reference 15

Resolution
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Source-reported events for the cited work

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Observation ced57fd2-e4a9-4f31-a146-e7b40d797dc2 · outbound

This paper cites Macroscopic models of collective motion and self-organization.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Macroscopic models of collective motion and self-organization

Reference 16

Resolution
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Source-reported events for the cited work

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Observation 62545959-5f8f-4313-a25e-a24d7bb77fae · outbound

This paper cites Reflection couplings and contraction r ates for diffusions.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Reflection couplings and contraction r ates for diffusions

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cf06f7f3-d44b-4d6e-a454-a18c29c41a18 · outbound

This paper cites Qu antitative Harris type theorems for dif- fusions and McKean-Vlasov processes.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Qu antitative Harris type theorems for dif- fusions and McKean-Vlasov processes

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5247a472-3c51-493a-9a6e-3dec2057cc9d · outbound

This paper cites Gradient flow structure for McKean-Vlasov equations on discrete spaces.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Gradient flow structure for McKean-Vlasov equations on discrete spaces

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9f4adbca-d024-40d3-859e-6f38dbf9f428 · outbound

This paper cites Ricci curvature bounds for weakly interacting Markov chains.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Ricci curvature bounds for weakly interacting Markov chains

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c468fed5-23cc-4f97-b1b6-b16053dcb067 · outbound

This paper cites Ricci Curvature of Finite M arkov Chains via Convexity of the Entropy.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Ricci Curvature of Finite M arkov Chains via Convexity of the Entropy

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 76d675a8-038c-44e6-ad45-cbe291901432 · outbound

This paper cites Entropic Ricci curvature bounds for discrete interacting systems.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Entropic Ricci curvature bounds for discrete interacting systems

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a93b9782-3af0-4298-abaf-681b127f2911 · outbound

This paper cites Derivation of mean-field equations for sto- chastic particle systems.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Derivation of mean-field equations for sto- chastic particle systems

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6350d862-e8a9-4a94-a964-93a8406781e6 · outbound

This paper cites Cutoff for the mean-fie ld zero-range process with bounded monotone rates.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Cutoff for the mean-fie ld zero-range process with bounded monotone rates

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 486df541-221b-44b0-8520-0add65917e85 · outbound

This paper cites Entropy dissipation estimates for inhomogeneous zero-range processes.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Entropy dissipation estimates for inhomogeneous zero-range processes

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a54355b5-cb03-4612-8d4a-11b77314de44 · outbound

This paper cites A large deviation perspective on exponential decay of entropy and lower bounds on the Ricci-curvature.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces A large deviation perspective on exponential decay of entropy and lower bounds on the Ricci-curvature

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 151c5865-4d46-45e0-b426-14b1b5c88ada · outbound

This paper cites an unresolved cited work.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Unresolved cited work

Reference 27

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 67d8a9b9-7fec-42c2-88b3-2156399c010d · outbound

This paper cites Ricci curvature for metr ic-measure spaces via optimal transport.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Ricci curvature for metr ic-measure spaces via optimal transport

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f0626c46-a592-4b1c-ad52-e328442edb8d · outbound

This paper cites Gradient flows of the entropy for finite Markov c hains.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Gradient flows of the entropy for finite Markov c hains

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4cb6098f-6d47-4c84-9dde-c4486084335e · outbound

This paper cites Logarithmic sobolev inequalities in d iscrete product spaces: a proof by a trans- portation cost distance.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Logarithmic sobolev inequalities in d iscrete product spaces: a proof by a trans- portation cost distance

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 054a4fa3-4e6e-4372-beb4-7b473a67705d · outbound

This paper cites Geodesic convexity of the relative e ntropy in reversible Markov chains.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Geodesic convexity of the relative e ntropy in reversible Markov chains

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:28:22.655134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c4bd98d8-cc37-4b99-aeb0-a02ef3609b82 · outbound

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

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces The geometry of dissipative evolution equa tions: the porous medium equation

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:28:22.645478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2ff0cbe4-488b-4be6-9f0c-8cc8889a552d · outbound

This paper cites Generalization of an In equality by Talagrand and Links with the Logarithmic Sobolev Inequality.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Generalization of an In equality by Talagrand and Links with the Logarithmic Sobolev Inequality

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:28:22.634816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c57005db-35e8-43fd-8104-78c742a0cd74 · outbound

This paper cites The exchange-driven growth model: basic properties and longtime behavior.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces The exchange-driven growth model: basic properties and longtime behavior

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:28:22.568932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1b23749c-c455-4522-a6ac-27a3ddba425a · outbound

This paper cites On the geometry of metric measure s paces.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces On the geometry of metric measure s paces

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:28:22.624380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ad019c17-21ed-474d-a204-2f41e4c341bc · outbound

This paper cites Topics in propagation of chaos.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Topics in propagation of chaos

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:28:22.613264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:28:22.508858Z digest=sha256:605f3ccfca29470917ca597987119b2993b6f88c032018d361716d385135d467

Observation bb59c785-887b-425a-b346-28d81e173219 · outbound

This paper cites an unresolved cited work.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:28:22.602991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:28:22.512240Z digest=sha256:c9a2a478fb6c785edc7ff12e93932521125990628550264a2bee9040d1a5522f

Observation c37a3dc0-58fc-49b3-807d-d244ba5daaeb · outbound

This paper cites Convergence to the equilibria for self- stabilizing processes in double-well landscape.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Convergence to the equilibria for self- stabilizing processes in double-well landscape

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:28:22.593491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 06ec4be8-64ba-4141-b8e4-2535a5e814b5 · outbound

This paper cites Lower bound for the coarse Ricci curvature of continuous-time pure jump processes.

Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces Lower bound for the coarse Ricci curvature of continuous-time pure jump processes

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:28:22.554662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:28:22.518919Z digest=sha256:ccbefb24cf41ccb9526dfdca0c23ae7bdaf2bc29df8a8276418d311f91376326

Pith citing papers

No inbound Pith citation observations are available.