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Paper Citation Record · LEDGER

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states

As of 14 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2501.18004.

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

pith.paper-citation-record.v1
2501.18004 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:35:53.648607Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:39:58.263255Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:40:00.077800Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b9b563d8-d266-49eb-93a4-786eb79466ee · outbound

This paper cites Analysis and geometry of Markov diffusion operators , volume 348 of Grundlehren Math.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Analysis and geometry of Markov diffusion operators , volume 348 of Grundlehren Math

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.120901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.585719Z digest=sha256:170aa436bab728d6001c6a7072006d0e186e332191d6567ea1c9e9f43975dc6d

Observation 3d195eaa-1d69-49e3-abb2-39800b4d5380 · outbound

This paper cites Non-equilibrium steady st ates for chains of four rotors.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Non-equilibrium steady st ates for chains of four rotors

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.109219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.590135Z digest=sha256:ebbd5e041e3ad01a35726085dd3a438c6252cece332322870fbf0c900620a853

Observation bfb34af4-ff88-4d87-b25a-a35bb8e957c2 · outbound

This paper cites L$^2$-Hypocoercivity for non-equilibrium kinetic equations.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states L$^2$-Hypocoercivity for non-equilibrium kinetic equations

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T04:35:53.594110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:35:53.594110Z digest=sha256:5348dae2a587fe491159c918c5471c537bf5dab96f8b54a37f9f57613046bb46

Observation ec7aff41-9872-4703-80b0-a234c7b473f7 · outbound

This paper cites Couplings and quantitative con- traction rates for Langevin dynamics.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Couplings and quantitative con- traction rates for Langevin dynamics

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.096903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.598434Z digest=sha256:621b6b5b0d0185dd4ec73283fc1fbb7cbcd1e1085d18c4f722f11adde6bfff43

Observation 142dc82c-bf5c-4ad3-a594-63d45d3f3961 · outbound

This paper cites Log-Sobolev Inequalit y for Decoupled and McKean-Vlasov SDEs and Application on Exponential Ergodicity.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Log-Sobolev Inequalit y for Decoupled and McKean-Vlasov SDEs and Application on Exponential Ergodicity

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T04:35:53.602562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:35:53.602562Z digest=sha256:4946fd6e6bd7c66f245dae04db00c5c6e21fc50166940a626a83d12a9dffac09

Observation c2a0d97d-6c05-46fa-a312-1dc36bb4e4a1 · outbound

This paper cites Thermo -mechanical transport in rotor chains.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Thermo -mechanical transport in rotor chains

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.084878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.606745Z digest=sha256:e0b551f6834a01fcaeb498cfed6d7cb5486d8f16daea4b1308b4ca47c396c040

Observation d1b36fdc-efbb-4735-8ad9-59a3fc35f856 · outbound

This paper cites Conve rgence rates for nonequi- librium Langevin dynamics.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Conve rgence rates for nonequi- librium Langevin dynamics

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.072932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.611559Z digest=sha256:8bc10367534a8c5ce7183074c345290917e2a9e8d5bfa23e1ebd601b9665a161

Observation 3b01637b-e972-4321-be6b-45df597de427 · outbound

This paper cites Duality on gradient estimates and Wasserste in controls.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Duality on gradient estimates and Wasserste in controls

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.059631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.616486Z digest=sha256:4c15de7dde33971e7531d8b75046c88ec3d0ad8f3dc0ba39c51ae46880b37996

Observation 753b3668-2187-4ff0-b089-8c5ce829be61 · outbound

This paper cites Mattingly, A.M.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Mattingly, A.M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.047899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.620288Z digest=sha256:27fbf4039a1bc547d3be8b1c3c4275fc1bc9d81a4524465dc662067ba89180c0

Observation d9085260-c7b2-4012-a1b0-770ea1991a29 · outbound

This paper cites Generalized Γ calculus and application to inte racting particles on a graph.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Generalized Γ calculus and application to inte racting particles on a graph

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.035638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.624592Z digest=sha256:a9576051744a5aa581fc9685b4f1c605368c642f1ddea4e29ae4ef385c69a286

Observation f1115138-b710-4e5b-944b-78d6a81ed9c1 · outbound

This paper cites Almost sure contraction for diffusions on Rd.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Almost sure contraction for diffusions on Rd

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.019421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.628873Z digest=sha256:bb0a609c23043202ab5da7fe21c9b936c961f9419404479dc88875bd123fbb03

Observation e58ca1f3-64dc-40fb-bf06-23699f6f684c · outbound

This paper cites Overdamped limit at stationa rity for non- equilibrium Langevin diffusions.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Overdamped limit at stationa rity for non- equilibrium Langevin diffusions

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:54.004883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.632929Z digest=sha256:20ac5ae3f089a0605c9842d77dd08f18bb815ea2c047894c4b8bb99435552e75

Observation cffdc591-db0a-49e0-bc8b-f5eff4e193d9 · outbound

This paper cites Logarithmic Sobolev inequalities for non-equilibrium steady states.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Logarithmic Sobolev inequalities for non-equilibrium steady states

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-10T04:35:53.818509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.637382Z digest=sha256:25bf79bb479f4c8479d9c4c454182399bf0140e826ce85bbd4cea439896e0960

Observation 464ba137-a32d-4433-985d-f5dcc4a6cf7f · outbound

This paper cites Stochastic Hamiltonian systems: exponential conv ergence to the invariant measure, and discretization by the implicit Euler scheme.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Stochastic Hamiltonian systems: exponential conv ergence to the invariant measure, and discretization by the implicit Euler scheme

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:53.993349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.641377Z digest=sha256:7e7b40228924f77bfcafed90521fb486ea63aaca57993da12166cbe173c7c0e6

Observation ca7beda2-a03a-42f2-a2e1-37428e47793e · outbound

This paper cites Hypocoercivity, vol.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Hypocoercivity, vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:53.981197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.645029Z digest=sha256:f342bb1f522ec1557cc24cdb26893679f3a9963fcb1705d5a3b0dfe146a2342a

Observation 96404ee1-68b9-408a-81bb-b1c5a1ffc941 · outbound

This paper cites Exponential contraction in Wasserstein distan ces for diffusion semigroups with negative curvature.

L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states Exponential contraction in Wasserstein distan ces for diffusion semigroups with negative curvature

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:35:53.968581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T04:35:53.648607Z digest=sha256:9d4ea5a9e2ef44f1a824b8c31d19f73f3b2d34e8644d34f2e7d9970fef93927b

Pith citing papers

Observation 933bf2c3-4241-42e2-9940-c9df2c00b491 · inbound

Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs cites this paper.

Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs L2 geometric ergodicity for the kinetic Langevin process with non-equilibrium steady states

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:40:00.151783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T20:39:58.263255Z digest=sha256:716087c5b30e23bdc4e3c02e355d524769e96afde5415cb10158e7d13c32fab3