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Paper Citation Record · LEDGER

Random attractors and nonergodic attractors for diffusions with degeneracies

As of 11 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 2026-08-10T06:31:04.303077+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
  • parse uncertain0
  • malformed identifier0
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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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.875644Z digest=sha256:c93660bf5ed0c583862f024204c799948ee570235328450093da9257da713098

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.878757Z digest=sha256:3ec9662be5021719e1d19f1c9d20a1ce68dbde24c7873271e3983996b8fce793

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.881973Z digest=sha256:b88c124af2c83e9d3374fc75f7b60f704667bf49edf310844a9efab603492788

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=sha256:3e8545e30c1ae463a782d2a74e4fee40690b5b512753db19b8a48759d1c03c55

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.889035Z digest=sha256:66a7f3149a0e1d4fa5996fa95df6dd70d015759786b3db84829846342e230c2f

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.892044Z digest=sha256:85fec5827e4934db1e2738aeb0b29c74322fd05eb1b9b59d46c50e20016e8be0

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.895811Z digest=sha256:ed10d91767301354fb0543adb7b741a9b0e6afa4027cc17e635fd8626339f96d

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.899238Z digest=sha256:341d735d16403ce0bf09d3fadc92f057f40b9b2563a09d2a3eb049b93e87230d

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=sha256:2929d5c3ed911ec2347bbcca96d959cd5c05fb45e1594efe2331fa25f81ce8d2

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.905487Z digest=sha256:b52be5eee756e937ac8f8fa3e9173bab03a048f7011094ae67423e79fa215e33

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.908345Z digest=sha256:c04708bb0648b66002811363847159118cdfc8644c01e242f4aae95cc9928df5

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.911511Z digest=sha256:f7d8fa3f2100b3ca847af5f882ab79951d55c213357acb8bf32b408dcc23edd8

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.915269Z digest=sha256:e74e75aea73166db856435dad48c39cbfb61208782c09d7fca4c8e375fb3ac12

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.918137Z digest=sha256:af68b309de9653616df8767ab9eaf7f18873f608f684b79a7c635b4be751e6f8

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.921265Z digest=sha256:966bc7a2f3b00656b71e991dbee7973ee25e819a882e1c08e79992a388b17bd4

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.924218Z digest=sha256:901c0ef772856b5aa7f101dd50da045f08bc5ebc9c0cc79d0c029bf312659e75

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.927790Z digest=sha256:cded624f7d57490cdbb527b33d508aef3f4f7102d8278e56eb54697e3dc13540

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
raw_fallback, observed 2026-08-05T14:47:25.070909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.930475Z digest=sha256:6c50d0c4ca7480fe8f10a980dc59531e5f4d980395dfb180143d3f78995e1ac0

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.933252Z digest=sha256:cf54e13e5921fe8ece6718b857f2dcd8dc2b696e7b366f0f803932d8c033e0b6

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.936906Z digest=sha256:404633ac251283aae9052ffd5fdd2c9c6f0abe730d7dd4f67fa939b581aac7e5

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.940470Z digest=sha256:52be01b9865514d4b915de10692f1b6e7c2ac989d623c98665ea8862f9c735f3

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.943218Z digest=sha256:7f08128e7302eafad5cabda906ed122c443a835fd8eed23aa0c8b24a7818ccb3

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.946084Z digest=sha256:65498b285fcb5238499263509e24a83b8e7dabe499fe372b5efa5266a2947fbf

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.948923Z digest=sha256:bbfb36bf86634a5cec835dfd2c65b56a298f2a2cd88bb5d2b70e24c9ecdb2dc0

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.951727Z digest=sha256:97f1120bd584fda08843401019d37d2eaed5c5ee0f8e5fbb795bc66f21478c85

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-05T14:47:24.954620Z digest=sha256:ea914c4b677f874f03053927195704f609bebb9d58d76a7b673f8444b308f16d

Pith citing papers

No inbound Pith citation observations are available.