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Paper Citation Record · LEDGER

Random attractors and nonergodic attractors for diffusions with degeneracies

As of 18 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2508.20968.

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

pith.paper-citation-record.v1
2508.20968 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:47:24.954620Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved12
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d6b7574d-5bac-4b17-b06a-03198694d38b · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.210982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ea4f5a06-91ce-41ec-b745-2ab7eb053dc5 · outbound

This paper cites Theory Relat.

Random attractors and nonergodic attractors for diffusions with degeneracies Theory Relat

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.202431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.875644Z digest=sha256:43adc887ac0e322b19683c884f47fce52281fb9fefa8144af02ad18806103aa1

Observation 98084128-ef50-472f-8f6d-633c04789c63 · outbound

This paper cites Bass, Probabilistic techniques in analysis, Probability and its Applications, Springer-Verlag, New York, 1995.

Random attractors and nonergodic attractors for diffusions with degeneracies Bass, Probabilistic techniques in analysis, Probability and its Applications, Springer-Verlag, New York, 1995

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.193951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation edba19f5-6381-494f-a6b6-c4327276c5fe · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.183997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.881973Z digest=sha256:c09f53443400febf9f988156663dab76a9d2b4c807ad374a863fd69e3880c0f4

Observation 2fbeff22-3163-44cb-8f18-8cf68cf5598c · outbound

This paper cites Stochastic Persistence.

Random attractors and nonergodic attractors for diffusions with degeneracies Stochastic Persistence

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-05T14:47:24.885406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T14:47:24.885406Z digest=sha256:e3873bde8a79ace7fd275bcd437997378cf30fcd0ecedbb6b4881453aa67a629

Observation c789e907-a637-443e-a365-983560cd4649 · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.174611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.889035Z digest=sha256:3ddc83f988f3edc5b93c0bb58a16093e6eff2bb7e7c2f92771ea1f48d51d14de

Observation ee08f5d8-7729-440a-85d7-0d5d25024830 · outbound

This paper cites Ethier and Thomas G.

Random attractors and nonergodic attractors for diffusions with degeneracies Ethier and Thomas G

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.165349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.892044Z digest=sha256:8f5a8ac404ae4de4c676989c6e6497c68399b0f08153484adfaf81d3590bf5c7

Observation 8610e2d2-e4b4-4efa-9e2f-37efdc1c72aa · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.157044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.895811Z digest=sha256:ca2dd4222a5860066bd871431ccf047320317789574a99ee9e4ac7aa64c836e2

Observation 397f0ce8-68ad-47f1-be3a-48cc651280fd · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.147660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.899238Z digest=sha256:5d190dd98c292a4d87ff54279a129f7b9efd6751e2f06d0a380388fb0cd11584

Observation a5eb0a76-8a1e-493a-b2e4-c2506112c9ba · outbound

This paper cites Stochastic Extinction, An Average Lyapunov Function Approach.

Random attractors and nonergodic attractors for diffusions with degeneracies Stochastic Extinction, An Average Lyapunov Function Approach

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T14:47:24.902086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T14:47:24.902086Z digest=sha256:e6c8e988178fd1a2b5eefaf2589dc652eb41f09632ec6d0dd994f60a22179780

Observation fcb39832-21b9-47be-9e41-a8e966766ccc · outbound

This paper cites Freidlin and Alexander D.

Random attractors and nonergodic attractors for diffusions with degeneracies Freidlin and Alexander D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.139487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.905487Z digest=sha256:3ba9cb69b6da280d90b98523e5e4e23579ca860f1dd72955c2ad899f4fc0beb8

Observation 9644db3a-509a-4e20-8de4-976272597c2f · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.131175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.908345Z digest=sha256:79fe5d1932e883ac677dc7a0aa273338345cd703e3923a2d2778176d05607175

Observation bf72be1a-2b63-434a-b4a2-af85e8a5251a · outbound

This paper cites Nguyen, Coexistence and extinction for stochastic K olmogorov systems , Ann.

Random attractors and nonergodic attractors for diffusions with degeneracies Nguyen, Coexistence and extinction for stochastic K olmogorov systems , Ann

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.122778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.911511Z digest=sha256:c88153566fe88c56c4e95b79108b1d0dc0aa8310f115bc43cbdf8279470f4eb8

Observation 5c5ab346-0c25-4c52-9c13-e57a025f8bdc · outbound

This paper cites Nguyen, and Peter Chesson, A general theory of coexistence and extinction for stochastic ecological communities, J.

Random attractors and nonergodic attractors for diffusions with degeneracies Nguyen, and Peter Chesson, A general theory of coexistence and extinction for stochastic ecological communities, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.113717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.915269Z digest=sha256:c72a0cd46d42f34f0508573e53fc54a6c861fbca9701e233e5fe0fdf5a0bea92

Observation 7476af7a-3d5a-4b0f-93ab-3b72079d1b54 · outbound

This paper cites Nguyen, and Sebastian J.

Random attractors and nonergodic attractors for diffusions with degeneracies Nguyen, and Sebastian J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.104914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.918137Z digest=sha256:f42360ef417fee922067197eecfb071bf74c0a4f1d5255d84990a45a91432bbc

Observation 672e8153-db66-45a0-b6f5-cc70c6072a4d · outbound

This paper cites 66, Springer-Verlag, Berlin, 2012.

Random attractors and nonergodic attractors for diffusions with degeneracies 66, Springer-Verlag, Berlin, 2012

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.096736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.921265Z digest=sha256:198226b622d410cb0a15a437f72fb71ec02e147a5eab1115294545010d1427d5

Observation 69298056-3624-4706-bee5-0b67b6c1efda · outbound

This paper cites Shreve, Brownian motion and stochastic calculus, second ed., Graduate Texts in Mathematics, vol.

Random attractors and nonergodic attractors for diffusions with degeneracies Shreve, Brownian motion and stochastic calculus, second ed., Graduate Texts in Mathematics, vol

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.088264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.924218Z digest=sha256:4727c8793310a841699f7d4731be1803443b56936de86f7714355ed18b6e7e4d

Observation f292986e-d977-46b0-a550-6c35a0f2137e · outbound

This paper cites 194, Cambridge University Press, Cambridge, 2012.

Random attractors and nonergodic attractors for diffusions with degeneracies 194, Cambridge University Press, Cambridge, 2012

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.079592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.927790Z digest=sha256:23cc1e573dd0e04122186dca12cce7844c6c2a26145c08405ee5683ddc5313dc

Observation e2ee2202-9901-407a-bfcd-7524f137439a · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 19

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.930475Z digest=sha256:c95704f075550a5aa39e9dd39b257727b9657087ffe0282de64fe383a73baf0d

Observation 1e31cd08-8cc8-41bf-891f-b00da8f65b62 · outbound

This paper cites Meyn and R.L.

Random attractors and nonergodic attractors for diffusions with degeneracies Meyn and R.L

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.062287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.933252Z digest=sha256:fad243c361ef80b4a9cf1e60cff8d0b12257db2a0bf0956b31655bd40ab9b9d2

Observation bd8d8bea-1825-49da-87c6-608d8f9004ba · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.053475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.936906Z digest=sha256:5c6f4034eed1e9dfb5aebb418b065ab6779b9417d1260334e2a867bda04e6715

Observation e8b11652-954f-4a6d-97b4-4a62d0c45cb7 · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.043896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.940470Z digest=sha256:f5a30a6d63139ae0a9ca6a892dbbb190db551e39617ed2a8be9ae8993413d1c7

Observation f241c351-6889-4900-b1df-4a8bfdb02abe · outbound

This paper cites Veretennikov, On the P oisson equation and diffusion approximation.

Random attractors and nonergodic attractors for diffusions with degeneracies Veretennikov, On the P oisson equation and diffusion approximation

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.034651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.943218Z digest=sha256:edeb90314ada84b1d221147d015fd46b303b054e8fd966df4282aa76c578233a

Observation 3f65c46e-8081-4f92-8c7f-e5a52f9c12d0 · outbound

This paper cites Schreiber, Michel Bena \" m, and Kolawol \'e A.S.

Random attractors and nonergodic attractors for diffusions with degeneracies Schreiber, Michel Bena \" m, and Kolawol \'e A.S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.025743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.946084Z digest=sha256:6a62dfa6dff7d56101490275ea85927b2696a15a6e0021e8015f7edc66110251

Observation 0006eafd-80f2-4c11-a58b-27de41937a5d · outbound

This paper cites Stroock, Markov processes from K.

Random attractors and nonergodic attractors for diffusions with degeneracies Stroock, Markov processes from K

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:25.016699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.948923Z digest=sha256:2cb145fabb16ef12f6b6b4e8e97facd762d460ae06ca1143d9e2eee65dd8a47e

Observation 65314e4b-3067-41f1-983d-d1fd3d3b34ef · outbound

This paper cites an unresolved cited work.

Random attractors and nonergodic attractors for diffusions with degeneracies Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:47:25.007626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.951727Z digest=sha256:7cfce8a88fd8319c6f1b710850bb4beb6d9158b716cdd57103c0f799ae0a04c9

Observation 8d185fce-73c0-4075-93b3-0a621fcf6810 · outbound

This paper cites Meyn, Random-time, state-dependent stochastic drift for M arkov chains and application to stochastic stabilization over erasure channels , IEEE Trans.

Random attractors and nonergodic attractors for diffusions with degeneracies Meyn, Random-time, state-dependent stochastic drift for M arkov chains and application to stochastic stabilization over erasure channels , IEEE Trans

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:47:24.997221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.954620Z digest=sha256:adc5fd0719e5b3fe5b42f366521a96f00165d26268afd53fcf8f7203d7ecefa6

Pith citing papers

No inbound Pith citation observations are available.