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Paper Citation Record · LEDGER

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains

As of 10 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 0 inbound Pith citation observations for arXiv:2505.15587.

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

pith.paper-citation-record.v1
2505.15587 v2

Coverage vector

measured 73 of 73 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:22:07.882719Z

measured 73 of 73 standing notices

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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

73 of 73 outbound references displayed

  • verified exact27
  • verified fuzzy13
  • unresolved21
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External citation measurements

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Outbound references

Observation 1a64f569-a61d-4fa9-9367-4409ccab34c2 · outbound

This paper cites Electronic Notes in Theoretical Computer Science297, 3–25 (2013).https://doi.org/10.1016/j.entcs.2013.12.002, pro- ceedings of the first workshop on Hybrid Autonomous Systems.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Electronic Notes in Theoretical Computer Science297, 3–25 (2013).https://doi.org/10.1016/j.entcs.2013.12.002, pro- ceedings of the first workshop on Hybrid Autonomous Systems

Reference 1

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Observation ed909e68-ed9c-42da-aa8a-ec15665cbc4e · outbound

This paper cites In: Kroening, D., Păsăreanu, C.S.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Kroening, D., Păsăreanu, C.S

Reference 2

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Observation b44433a1-10b0-4029-95bd-e7a7e24228c7 · outbound

This paper cites In: van Breugel, F., Kashefi, E., Palamidessi, C., Rutten, J.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: van Breugel, F., Kashefi, E., Palamidessi, C., Rutten, J

Reference 3

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Observation 88705173-24a7-45a8-ac7d-caa351458f5d · outbound

This paper cites PLoS ONE9(4), e94553 (Apr 2014).https://doi.org/10.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains PLoS ONE9(4), e94553 (Apr 2014).https://doi.org/10

Reference 4

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Observation ec2c5609-324b-4e59-9fda-9fbd18170946 · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 5

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Observation 09ada68e-c36e-4d3a-bf75-3ddbf99a3b18 · outbound

This paper cites In: Petri Nets.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Petri Nets

Reference 6

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Observation 5bd8649f-cd32-45df-ac1c-8b7d7588e628 · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 7

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

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Observation 48297050-6a21-474d-bddb-b99398cb72d7 · outbound

This paper cites In: SAFECOMP.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: SAFECOMP

Reference 8

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Observation 30245ce9-4a88-476b-aab5-9f869329f997 · outbound

This paper cites ACM Trans.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains ACM Trans

Reference 9

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Observation 7c47dc56-d3cd-4a8d-86fe-1a4a57a49182 · outbound

This paper cites In: Alur, R., Henzinger, T.A.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Alur, R., Henzinger, T.A

Reference 10

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Observation 9c9db0f1-d449-4f26-b506-7ade702cae7a · outbound

This paper cites IEEE Trans.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains IEEE Trans

Reference 11

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Observation 97b232a1-a91a-41b0-89c6-874417aacbf2 · outbound

This paper cites In: Montanari, U., Rolim, J.D.P., Welzl, E.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Montanari, U., Rolim, J.D.P., Welzl, E

Reference 12

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Observation cc709568-7895-45c7-b044-ddc3335594df · outbound

This paper cites Ab initio properties of the NaLi molecule in the $a^3\Sigma^+$ electronic state.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Ab initio properties of the NaLi molecule in the $a^3\Sigma^+$ electronic state

Reference 13

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Observation 149d4af1-adde-405f-89d0-751204520a95 · outbound

This paper cites The MIT Press (2008).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains The MIT Press (2008)

Reference 14

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Unavailable: canonical work link unavailable.

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Observation 7218b990-ee94-42d0-90a5-9b9eb5d8e7cf · outbound

This paper cites Information and Computation200(2), 149–214 (2005).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Information and Computation200(2), 149–214 (2005)

Reference 15

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

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Observation f47e7d1b-4f30-4ab2-8349-bde34fcd4d02 · outbound

This paper cites Logical Methods in Computer Science19(1) (2023).https://doi.org/10.46298/lmcs-19(1:22)2023.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Logical Methods in Computer Science19(1) (2023).https://doi.org/10.46298/lmcs-19(1:22)2023

Reference 16

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

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Observation a7153c9f-b9c6-4016-973d-841563cc7f3f · outbound

This paper cites IEEE Transactions on ComputersC-27(6), 540–547 (1978).https://doi.org/ 10.1109/TC.1978.1675145.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains IEEE Transactions on ComputersC-27(6), 540–547 (1978).https://doi.org/ 10.1109/TC.1978.1675145

Reference 17

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Observation 20a00056-ac8c-4222-aff3-170cbce4427b · outbound

This paper cites In: Esparza, J., Murawski, A.S.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Esparza, J., Murawski, A.S

Reference 18

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

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Observation bce66339-2d16-45cf-9b44-76f14a9d00f4 · outbound

This paper cites Journal of Applied Probability31(1), 59–75 (1994).https://doi.org/10.2307/3215235.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Journal of Applied Probability31(1), 59–75 (1994).https://doi.org/10.2307/3215235

Reference 19

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

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Observation 79e42826-521d-4f0b-8ad0-0e1a09227b36 · outbound

This paper cites In: Abate, A., Marin, A.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Abate, A., Marin, A

Reference 20

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Observation 90b06d15-1952-45d7-b741-343c7743a887 · outbound

This paper cites IEEE Transactions on Automatic Control68(11), 6557–6572 (Nov 2023).https://doi.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains IEEE Transactions on Automatic Control68(11), 6557–6572 (Nov 2023).https://doi

Reference 21

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Observation 72129aa4-69dd-47b0-aad6-1e6aeb27dfbd · outbound

This paper cites In: 24th IEEE Symposium on Logic In Computer Science (LICS).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: 24th IEEE Symposium on Logic In Computer Science (LICS)

Reference 22

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Observation cae40302-0d6c-4ab9-bea4-fd7b1aa6a3f9 · outbound

This paper cites In: Proceedings of the Thirteenth Annual IEEE Symposium on Logic in Computer Science (LiCS).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Proceedings of the Thirteenth Annual IEEE Symposium on Logic in Computer Science (LiCS)

Reference 23

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Observation d6615110-b091-42ea-bf4c-566b4d64a881 · outbound

This paper cites Information and Computation179(2), 163–193 (2002).https://doi.org/ 10.1006/inco.2001.2962.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Information and Computation179(2), 163–193 (2002).https://doi.org/ 10.1006/inco.2001.2962

Reference 24

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Observation 1efe152c-24bc-4405-8232-50c57f1af3e8 · outbound

This paper cites In: Fifth International Conference on Quantitative Evaluation of Systems (QEST 2008).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Fifth International Conference on Quantitative Evaluation of Systems (QEST 2008)

Reference 25

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Observation 051a952d-13b8-4f4b-882c-a1b7872ebb4c · outbound

This paper cites In: Tauman Kalai, Y.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Tauman Kalai, Y

Reference 26

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

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Observation 0d81f31d-24dc-41fb-aef4-5862212662a4 · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 27

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Observation 095d0965-5a6c-4817-a3fd-e71c1bff2b85 · outbound

This paper cites The Post Office Electrical Engineer’s Jour- nal pp.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains The Post Office Electrical Engineer’s Jour- nal pp

Reference 28

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

source=pdf_text observed=2026-08-07T15:22:04.512758Z digest=sha256:c86a021c2a623ac5a20b8e4a250bd04122a5ce0f117e48e5eba4dbac69504ba8

Observation 8a13a238-8c4b-400c-8a3d-16dd6058c32e · outbound

This paper cites Performance Evaluation20(1), 223–243 (1994).https://doi.org/10.1016/ 0166-5316(94)90015-9.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Performance Evaluation20(1), 223–243 (1994).https://doi.org/10.1016/ 0166-5316(94)90015-9

Reference 29

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Observation 0603bc8d-cfee-4e9f-9d76-9cd8ed9cf16b · outbound

This paper cites IEEE Transactions on Software Engi- neering20(7), 516–525 (1994).https://doi.org/10.1109/32.297940.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains IEEE Transactions on Software Engi- neering20(7), 516–525 (1994).https://doi.org/10.1109/32.297940

Reference 30

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

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Observation 4007915b-1b64-4f3b-80dd-60e582e8c5cc · outbound

This paper cites In: Remke, A., Stoelinga, M.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Remke, A., Stoelinga, M

Reference 31

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Observation 47414a64-5012-4a77-8080-2412fa1813be · outbound

This paper cites Com- puters & Operations Research4(1), 47–53 (1977).https://doi.org/10.1016/ 0305-0548(77)90007-7.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Com- puters & Operations Research4(1), 47–53 (1977).https://doi.org/10.1016/ 0305-0548(77)90007-7

Reference 32

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Observation 5c84e8b5-2329-4c5c-b13e-fc06241b6814 · outbound

This paper cites In: 2021 American Control Conference (ACC).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: 2021 American Control Conference (ACC)

Reference 33

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Observation a8d8d5ad-4c57-4a4c-812b-ebc133ec5188 · outbound

This paper cites International Journal on Software Tools for Technology Transfer (STTT)24, 589–610 (2022).https://doi.org/10.1007/s10009-021-00633-z.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains International Journal on Software Tools for Technology Transfer (STTT)24, 589–610 (2022).https://doi.org/10.1007/s10009-021-00633-z

Reference 34

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no resolver link, observed 2026-08-07T15:22:04.852779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:22:04.852779Z digest=sha256:6a650d2fe0727fd2a44930ed22fcbd066ec2f9e198ff72dba0a6a626920ec218

Observation 36d013b4-2b17-49da-84de-6f6d6c7a53e4 · outbound

This paper cites Scandi- navian Actuarial Journal1953(sup1), 87–91 (1953).https://doi.org/10.1080/ 03461238.1953.10419459.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Scandi- navian Actuarial Journal1953(sup1), 87–91 (1953).https://doi.org/10.1080/ 03461238.1953.10419459

Reference 35

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T15:22:14.910474Z

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=pdf_text observed=2026-08-07T15:22:04.919485Z digest=sha256:220a0c2166bcf6b299be31ce32eabfdf35a6e6c0c73736c7523913643179f551

Observation a5f04aa2-1cd5-4557-9134-f327490f5aab · outbound

This paper cites Undergraduate Texts in Mathe- matics (UTM), Springer New York (1976).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Undergraduate Texts in Mathe- matics (UTM), Springer New York (1976)

Reference 36

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verified fuzzy
raw_fallback, observed 2026-08-07T15:22:19.318414Z

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=pdf_text observed=2026-08-07T15:22:04.993794Z digest=sha256:e360da4d8417438618f16ca4a06480fa632d4cd3c9f40d9920cf965f10d772bf

Observation 565b1a40-4030-440a-9427-4db1cc95a7fc · outbound

This paper cites In: Bojańczy, M., Chekuri, C.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Bojańczy, M., Chekuri, C

Reference 37

Resolution
verified exact
doi, observed 2026-08-07T15:22:10.156550Z

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=pdf_text observed=2026-08-07T15:22:05.075038Z digest=sha256:bd8faa283eff101dd201585eacf2ca536b08764779a413da9c59e15fd5429868

Observation 66eec0ca-e507-428f-8237-7b5f29b7733d · outbound

This paper cites Mathematische Annalen104, 415–458 (1931).https://doi.org/10.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Mathematische Annalen104, 415–458 (1931).https://doi.org/10

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:19.175147Z

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=pdf_text observed=2026-08-07T15:22:05.147460Z digest=sha256:1912f9d689ac822c04c85311d4f693f682f4f3b9068f843d35b0d8f9010400f3

Observation 532a29eb-aa4e-4f52-b59c-1f7a8461f435 · outbound

This paper cites Springer Texts in Statistics (STS), Springer New York (2010).https://doi.org/ 10.1007/978-1-4419-1772-0.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Springer Texts in Statistics (STS), Springer New York (2010).https://doi.org/ 10.1007/978-1-4419-1772-0

Reference 39

Resolution
verified exact
doi, observed 2026-08-07T15:22:09.928254Z

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=pdf_text observed=2026-08-07T15:22:05.218279Z digest=sha256:9b9b402c5739f3c7b9a17d62ec8a5d6cdcd4219f5ae771b1546a593ceb874db7

Observation 4d6ddcf6-c0e7-4f34-96fd-fbfe7c9f8fc5 · outbound

This paper cites In: Gopalakrishnan, G., Qadeer, S.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Gopalakrishnan, G., Qadeer, S

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T15:22:05.289495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:22:05.289495Z digest=sha256:6978a7f0cf835096276a0e70404ce724af92270705da9a069dbed50df196c775

Observation f29cbc73-ef3b-4f2e-ada4-fd3537b00cad · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:22:19.046402Z

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=pdf_text observed=2026-08-07T15:22:05.348093Z digest=sha256:3566a30fd823319180df5db3471337b4356a0d2457caae908d34379e85cdee5f

Observation 0126e7b6-b9ed-40a8-87e7-db4421d2f8ab · outbound

This paper cites Information and Computation94(1), 1–28 (1991).https://doi.org/10.1016/0890-5401(91) 90030-6.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Information and Computation94(1), 1–28 (1991).https://doi.org/10.1016/0890-5401(91) 90030-6

Reference 42

Resolution
verified exact
doi, observed 2026-08-07T15:22:09.749300Z

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=pdf_text observed=2026-08-07T15:22:05.421952Z digest=sha256:9bbee7bb99972f2edd2cb9dfdd51c20896bf3db5d1ed57d7bd7c0dfcd881321d

Observation 6bcd0c00-0258-4b3d-bba5-008800e275c1 · outbound

This paper cites Journal of Applied Probability61(4), 1278–1300 (2024).https://doi.org/ 10.1017/jpr.2024.20.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Journal of Applied Probability61(4), 1278–1300 (2024).https://doi.org/ 10.1017/jpr.2024.20

Reference 43

Resolution
verified exact
doi, observed 2026-08-07T15:22:09.541664Z

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=pdf_text observed=2026-08-07T15:22:05.481844Z digest=sha256:778aa6630ae4e099258203a8dfe10fb9e0bd3121a8ce13c329627fa79e854220

Observation 9a8561b6-98c3-4db0-9af1-7d1332966dcd · outbound

This paper cites Sci- ence China Mathematics58(2), 2633–2642 (2015).https://doi.org/10.1007/ s11425-015-5019-z.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Sci- ence China Mathematics58(2), 2633–2642 (2015).https://doi.org/10.1007/ s11425-015-5019-z

Reference 44

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T15:22:18.909956Z

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=pdf_text observed=2026-08-07T15:22:05.535444Z digest=sha256:8d787aa554ab4e920486f874bc0f282710ebe15e56b68c1a8f1b4ec80f898470

Observation 80849075-1e0e-44b5-8dbd-96d5cae78495 · outbound

This paper cites Advances in Applied Probability50(2), 645–669 (2018).https://doi.org/10.1017/apr.2018.28.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Advances in Applied Probability50(2), 645–669 (2018).https://doi.org/10.1017/apr.2018.28

Reference 45

Resolution
verified exact
doi, observed 2026-08-07T15:22:09.388326Z

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=pdf_text observed=2026-08-07T15:22:05.583087Z digest=sha256:3f9892accc27ded86dda46272343e65db3ff2ae70ecf25c23acfae6297f2c036

Observation 2c1df902-1808-450f-84e1-d38e76d0c3df · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 46

Resolution
verified exact
doi, observed 2026-08-07T15:22:09.221288Z

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=pdf_text observed=2026-08-07T15:22:05.619454Z digest=sha256:d5ffe7e980854db24a1af805ef637eaad4bc4f270632724b7b5b8088bd613101

Observation f75317bc-66f4-4745-9e2a-2d0e7641d7ce · outbound

This paper cites Performance Evaluation7(3), 175–194 (1987).https://doi.org/10.1016/ 0166-5316(87)90039-3.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Performance Evaluation7(3), 175–194 (1987).https://doi.org/10.1016/ 0166-5316(87)90039-3

Reference 47

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T15:22:18.706729Z

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=pdf_text observed=2026-08-07T15:22:05.645137Z digest=sha256:98dff8f55d5a012a4d4cf37c6e41c4b27372cd61b4953ce1215e13128f6925f8

Observation 9fbdaa96-f6fe-43a9-8f16-7f133f1e5b8d · outbound

This paper cites In: André, É., Stoelinga, M.(eds.)FormalModelingandAnalysisofTimedSystems(FORMATS)2019.Lec- ture Notes in Computer Science (LNCS), vol.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: André, É., Stoelinga, M.(eds.)FormalModelingandAnalysisofTimedSystems(FORMATS)2019.Lec- ture Notes in Computer Science (LNCS), vol

Reference 48

Resolution
verified exact
doi, observed 2026-08-07T15:22:09.092486Z

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=pdf_text observed=2026-08-07T15:22:05.698495Z digest=sha256:e218019b31ea5d16abf802325d2f50efe4d9c5c8f0a574926c945c173598aba5

Observation 92412537-4aec-476c-af61-57c4a6065120 · outbound

This paper cites Acta Inf.59(2–3), 211–244 (Jun 2022).https://doi.org/10.1007/ s00236-021-00404-y.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Acta Inf.59(2–3), 211–244 (Jun 2022).https://doi.org/10.1007/ s00236-021-00404-y

Reference 49

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T15:22:18.537829Z

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=pdf_text observed=2026-08-07T15:22:05.773705Z digest=sha256:bfee00fd663a80c8a0311bc29e5639dcf83dc277089acc1e75f4c55a1304c0f9

Observation 94158851-d26a-4103-bf6b-bf3d50a2e6ae · outbound

This paper cites Society for Industrial and Applied Mathematics, Philadelphia, PA (2000).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Society for Industrial and Applied Mathematics, Philadelphia, PA (2000)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:18.412828Z

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=pdf_text observed=2026-08-07T15:22:05.850284Z digest=sha256:92c163e4c55f9bea255f0e4b7460a55d44be52a02537548956f84674c20cc895

Observation d9fab9f5-9f06-4b33-995d-2d6f353dcdf9 · outbound

This paper cites Journal of Applied Probability42(4), 1003–1014 (2005).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Journal of Applied Probability42(4), 1003–1014 (2005)

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:18.319553Z

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=pdf_text observed=2026-08-07T15:22:05.905645Z digest=sha256:45518d1b656f21904893c894efa75ce87c7e09350e046e32a9d11376e0b5c2c5

Observation d932fb2a-4644-4b28-a7d6-d325913a694d · outbound

This paper cites Mathematics12(11) (2024).https://doi.org/10.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Mathematics12(11) (2024).https://doi.org/10

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:18.115943Z

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=pdf_text observed=2026-08-07T15:22:05.952475Z digest=sha256:dc55c2d16ec5280906445eb75059e525eacfbe114fca6281e74639f36ef8167e

Observation f0c24a24-3565-4b30-9135-2d5bfb6521cf · outbound

This paper cites SIAM Review45(1), 3–49 (Jan 2003).https: //doi.org/10.1137/S00361445024180.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains SIAM Review45(1), 3–49 (Jan 2003).https: //doi.org/10.1137/S00361445024180

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T15:22:06.022721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:22:06.022721Z digest=sha256:d595e0f1109ea2f8f5e0b5b0773766ab4f051adfc04bcab8fd19a581763b7683

Observation da6e0cd0-fec4-4519-9115-efb4b00cb2ec · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:22:18.009345Z

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=pdf_text observed=2026-08-07T15:22:06.148779Z digest=sha256:5484f82193b92b2c7c7fd97c0a45e698a4ebb39da2f2a94c4ad9c94356acea9a

Observation b43ce2e2-5eec-45b6-b42f-d03ec42fb275 · outbound

This paper cites In: Abate, A., Marin, A.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Abate, A., Marin, A

Reference 55

Resolution
verified exact
doi, observed 2026-08-07T15:22:08.618549Z

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=pdf_text observed=2026-08-07T15:22:06.284621Z digest=sha256:901edfd252b83d41052114b57645f6c0fb445899e6f392657de9453fcd296d35

Observation 1790d645-91b4-4b99-ae0b-37fdcd62ba1f · outbound

This paper cites https://doi.org/10.3390/a17040159.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains https://doi.org/10.3390/a17040159

Reference 56

Resolution
verified exact
doi, observed 2026-08-07T15:22:08.464091Z

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=pdf_text observed=2026-08-07T15:22:06.376700Z digest=sha256:bdfe1a514582e49f8f55dd03cf3eeb2d7d3197134e352b8f3cefbfc70c86329d

Observation 3225cc54-8307-46d0-a5c8-a4f02475e1c3 · outbound

This paper cites In: Jon- sson, B., Parrow, J.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Jon- sson, B., Parrow, J

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-07T15:22:06.452218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:22:06.452218Z digest=sha256:dd67f3c7abe04e698a444cf0794259d3a19493cbb9252f9f623640014474f64b

Observation 9c3c01c3-57c2-44a9-a668-fa920cbabb48 · outbound

This paper cites SIAM Journal on Numerical Analysis 37(4), 1120–1137 (2000).https://doi.org/10.1137/S0036142998337235.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains SIAM Journal on Numerical Analysis 37(4), 1120–1137 (2000).https://doi.org/10.1137/S0036142998337235

Reference 58

Resolution
verified exact
doi, observed 2026-08-07T15:22:08.281383Z

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=pdf_text observed=2026-08-07T15:22:06.584215Z digest=sha256:f799f4574732e1c2fad58e3a7eb17438c1553e908fcdd2370a09333035ffa84e

Observation dab47512-6ce4-40a1-8703-acd3f840ecdc · outbound

This paper cites In: Majumdar, R., Silva, A.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Majumdar, R., Silva, A

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T15:22:06.636100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:22:06.636100Z digest=sha256:2e412fe58b99cabc8d2fbb2a51d89fa277b0db99e4d00ffc7f632f0cdc50969a

Observation a09cb084-1500-4b28-be5c-c2b266d7ef9e · outbound

This paper cites In: Massink, M., Norman, G.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains In: Massink, M., Norman, G

Reference 60

Resolution
verified exact
doi, observed 2026-08-07T15:22:08.095445Z

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=pdf_text observed=2026-08-07T15:22:06.716463Z digest=sha256:23e5ffeb2b6eca86f5f135b5765021e0f216997da57336c510607651e69438ba

Observation 688b5de3-72d0-442e-a213-61bee259cc03 · outbound

This paper cites IEEE Trans.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains IEEE Trans

Reference 61

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T15:22:14.624082Z

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=pdf_text observed=2026-08-07T15:22:06.817876Z digest=sha256:91fe1acee4202909599956aaa3e0b30ec2894f9019520453eb19f5f2414494a8

Observation ecb8427d-d852-4459-a8e2-a926034fc02d · outbound

This paper cites The Annals of Mathematical Statistics32(3), 716–729 (Sep 1961).https://doi.org/ 10.1214/aoms/1177704967.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains The Annals of Mathematical Statistics32(3), 716–729 (Sep 1961).https://doi.org/ 10.1214/aoms/1177704967

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T15:22:06.903803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:22:06.903803Z digest=sha256:9e3bb30fbd4297154cde59e6496cd9a8856610f92e39ea9f4b9280461bd8e89e

Observation 06dd5a59-087e-4aad-b997-621779160651 · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 63

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T15:22:17.795934Z

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=pdf_text observed=2026-08-07T15:22:07.006280Z digest=sha256:678d803ef67c693438d5c74abb12df93988b611c41903c1546591daa2a92d655

Observation 9ccb102e-9610-44a9-bd7b-92a1bb3076c7 · outbound

This paper cites 3.s∼s ′ iffs∼ 0,0 s′.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains 3.s∼s ′ iffs∼ 0,0 s′

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:17.612443Z

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=pdf_text observed=2026-08-07T15:22:07.102801Z digest=sha256:29f271e194481c66afb8d76d0cd36a62882842aaae0ba979e4342dc1d9c0c823

Observation f4920eb9-4ce3-4453-b3f2-69d8c41be53d · outbound

This paper cites Define R={(x, z)∈S×S| ∃y∈S:x∼ ε1,δ1 yandy∼ ε2,δ2 z}.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Define R={(x, z)∈S×S| ∃y∈S:x∼ ε1,δ1 yandy∼ ε2,δ2 z}

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:17.436976Z

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=pdf_text observed=2026-08-07T15:22:07.230474Z digest=sha256:670ed2b664c19f52e8ae2abbbbe9fd5a3fd7a0ad1cbb3cf4869fb9742dab2855

Observation d5dc1b48-9c1b-488c-a12a-f17956dcfac2 · outbound

This paper cites To see this, lets∼0,0 s′ and s′ ∼0,0 s′′.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains To see this, lets∼0,0 s′ and s′ ∼0,0 s′′

Reference 67

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T15:22:17.202948Z

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=pdf_text observed=2026-08-07T15:22:07.304289Z digest=sha256:81b829512f4dae104b0289ae62c7982d5d9ca03fc4a4f6cd4fb0537948672aea

Observation ddfdc3a0-2d04-4fae-9c08-84de2a1fd178 · outbound

This paper cites Theorem 17.Letθ∈[0,1),t >0, andq= max p∈S E(p).

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Theorem 17.Letθ∈[0,1),t >0, andq= max p∈S E(p)

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:17.083159Z

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=pdf_text observed=2026-08-07T15:22:07.413303Z digest=sha256:e03d9574ae23207854c9df9c62080f9619a57169f985529ff6ec3a09a2f9c262

Observation 98689a8d-ee14-4581-8c78-65a5123277b2 · outbound

This paper cites EachJi with corresponding eigenvalueλ i is anr i ×r i matrix of the form Ji =   λi 1 0 0.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains EachJi with corresponding eigenvalueλ i is anr i ×r i matrix of the form Ji =   λi 1 0 0

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:16.891995Z

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=pdf_text observed=2026-08-07T15:22:07.485918Z digest=sha256:6cb6bb04e72b947009320836c8573514020edd4268a90532f0c6a10e9af15f88

Observation f6b0ae6b-bcde-46d7-b623-ab50a786cde9 · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:22:16.752326Z

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=pdf_text observed=2026-08-07T15:22:07.594276Z digest=sha256:e21821e4666385fcada19d8f830a16e7a997b916cefe53fc45e8608b8bdd161a

Observation bbedd51e-b4c5-42cf-9293-6c379feebcdb · outbound

This paper cites Spork et al.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Spork et al

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:16.497935Z

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=pdf_text observed=2026-08-07T15:22:07.669023Z digest=sha256:7153683fde9091b5f19f16bbe761569b4b2a62e4489bd7d516e1ed553f5525db

Observation 2eb5ec16-3aae-47ff-b9a0-6982b40ff855 · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:22:16.243569Z

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=pdf_text observed=2026-08-07T15:22:07.808759Z digest=sha256:d0e793b5893873a167170d886420ad68e9724bf8166efb86abd8fa4a4b1776a0

Observation cc3131fd-8d1d-43f3-b7d0-54b494950fda · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:22:16.033477Z

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=pdf_text observed=2026-08-07T15:22:07.882719Z digest=sha256:5c9c3d0d0d902205732ebe437048c52e4b79891fd134c1e15d758e04dd7d59f9

Observation e94f157d-66c2-4b1a-b90f-96ca487c935b · outbound

This paper cites an unresolved cited work.

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains Unresolved cited work

Reference 516

Resolution
verified exact
doi, observed 2026-08-07T15:22:08.844440Z

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=pdf_text observed=2026-08-07T15:22:06.236683Z digest=sha256:eeb293611bab2a80a2ae4291a8f7b935ece0cf931a5533cd17a36f6b071d239f

Pith citing papers

No inbound Pith citation observations are available.