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Paper Citation Record · LEDGER

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics

As of 7 August 2026, this Paper Citation Record lists 82 of 82 outbound references and 1 inbound Pith citation observation for arXiv:2509.11314.

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

pith.paper-citation-record.v1
2509.11314 v2

Coverage vector

measured 82 of 82 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T16:52:31.324385Z

measured 83 of 83 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T13:11:11.613880Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T13:11:23.699759Z

Reference resolution

82 of 82 outbound references displayed

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External citation measurements

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Outbound references

Observation 031bb65b-d826-450e-8c3d-1707080d840f · outbound

This paper cites We consider a bipartite systemXY, withX being the system of interest andYthe memory.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics We consider a bipartite systemXY, withX being the system of interest andYthe memory

Reference 1

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Observation a1343956-d0db-4ecd-864b-d8e1c6d9245e · outbound

This paper cites dWzyXotTeR5ckqSQheWlLrS7gf0=.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics dWzyXotTeR5ckqSQheWlLrS7gf0=

Reference 2

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Observation bbb12958-bbcc-4370-abe1-da3d4a91a0f9 · outbound

This paper cites wlMIVkfyPZwM0K+/eFJ/I47p1b0=.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics wlMIVkfyPZwM0K+/eFJ/I47p1b0=

Reference 3

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Observation 5631e090-f463-41d9-933d-4306d71ad8c1 · outbound

This paper cites (20), we need the vari- ation of the nonequilibrium free energy in Eq.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics (20), we need the vari- ation of the nonequilibrium free energy in Eq

Reference 4

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Observation b858706f-d908-4cc4-8f69-9434d441afe6 · outbound

This paper cites an unresolved cited work.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

Reference 5

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Observation 3a6898d5-5c8e-4a9f-ba94-21615b75d8c5 · outbound

This paper cites meas” or “fb.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics meas” or “fb

Reference 6

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Observation 4edd7efe-a7ca-47be-bf0c-ee77216de30e · outbound

This paper cites Since the measurement does not change the marginal distri- bution ofX, the mean and variance ofxare fixed as µX t = 0 and Ξ XX t = Ξ XX for allt∈[0, τ].

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Since the measurement does not change the marginal distri- bution ofX, the mean and variance ofxare fixed as µX t = 0 and Ξ XX t = Ξ XX for allt∈[0, τ]

Reference 7

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Observation 8a6eb9d1-0221-424b-bc90-a981ae730f61 · outbound

This paper cites Since an ideal feedback does not change the marginal distribution ofY, the mean and variance ofyare fixed asµ Y t = 0 and Ξ Y Y t = Ξ Y Y for allt∈[0, τ].

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Since an ideal feedback does not change the marginal distribution ofY, the mean and variance ofyare fixed asµ Y t = 0 and Ξ Y Y t = Ξ Y Y for allt∈[0, τ]

Reference 8

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Observation 5676cc6e-5f6c-49e5-9ddb-3cc7245fdc04 · outbound

This paper cites Villani,Optimal Transport: Old and New, Vol.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Villani,Optimal Transport: Old and New, Vol

Reference 9

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Observation 0245be6b-2f54-42f4-8dff-7fbbc5358dd3 · outbound

This paper cites Santambrogio,Optimal Transport for Applied Mathe- maticians: Calculus of Variations, PDEs, and Modeling (Birkh¨ auser Cham, 2015).

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Santambrogio,Optimal Transport for Applied Mathe- maticians: Calculus of Variations, PDEs, and Modeling (Birkh¨ auser Cham, 2015)

Reference 10

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Observation c6913398-b55f-4b22-bd80-a1c72883c4a6 · outbound

This paper cites Peyr´ e and M.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Peyr´ e and M

Reference 11

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Observation 1389fafa-b76a-4bb1-b691-cb72f30c1a36 · outbound

This paper cites Arjovsky, S.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Arjovsky, S

Reference 12

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Observation 915c870f-838a-4967-a243-3cbfd52d6d89 · outbound

This paper cites Rubner, C.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Rubner, C

Reference 13

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Observation 5544352d-2253-4c56-833d-1d190693d611 · outbound

This paper cites Schiebinger, J.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Schiebinger, J

Reference 14

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Observation 82346872-b73d-4abe-9970-99daf9d6bf40 · outbound

This paper cites Sekimoto,Stochastic Energetics, Vol.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Sekimoto,Stochastic Energetics, Vol

Reference 15

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Observation d2502a45-669b-452e-87f8-a68c1c98382d · outbound

This paper cites Seifert, Stochastic thermodynamics, fluctuation the- orems and molecular machines, Reports on Progress in Physics75, 126001 (2012).

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Seifert, Stochastic thermodynamics, fluctuation the- orems and molecular machines, Reports on Progress in Physics75, 126001 (2012)

Reference 16

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Observation 7cbb3b72-3aaf-4600-bd46-4b9f286aa5e1 · outbound

This paper cites Luca and P.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Luca and P

Reference 17

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Observation 42d5817d-33da-4e80-83e0-4e03b26994c8 · outbound

This paper cites Shiraishi,An Introduction to Stochastic Thermody- namics(Springer Singapore, 2023).

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Shiraishi,An Introduction to Stochastic Thermody- namics(Springer Singapore, 2023)

Reference 18

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Observation 8ea5bfbd-58e4-45cd-b6da-c3ff4b0f380f · outbound

This paper cites Ciliberto, Experiments in stochastic thermodynamics: Short history and perspectives, Phys.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Ciliberto, Experiments in stochastic thermodynamics: Short history and perspectives, Phys

Reference 19

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Observation 3b9e5679-5080-4407-83c4-79490acd3899 · outbound

This paper cites Shiraishi, K.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Shiraishi, K

Reference 20

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Observation 18bd83a1-3134-45a4-88a4-602e5dff0aec · outbound

This paper cites Van den Broeck, Thermodynamic efficiency at maxi- mum power, Phys.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Van den Broeck, Thermodynamic efficiency at maxi- mum power, Phys

Reference 21

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Observation 6c22e813-68ae-4540-bd59-1972f376faf8 · outbound

This paper cites Schmiedl and U.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Schmiedl and U

Reference 22

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Observation 5af67557-9588-4e64-98c8-582ebec6639f · outbound

This paper cites Esposito, R.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Esposito, R

Reference 23

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Observation 600f4920-0131-4d7e-b5aa-f53c028e6070 · outbound

This paper cites Schmiedl and U.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Schmiedl and U

Reference 24

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Observation 62a3372d-5f77-482e-bb57-315aea638ffa · outbound

This paper cites Blaber and D.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Blaber and D

Reference 27

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This paper cites Shiraishi, K.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Shiraishi, K

Reference 28

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Observation 10a4114f-fca8-4a8a-83eb-4dd0c286d6c8 · outbound

This paper cites Ito, Stochastic thermodynamic interpretation of infor- mation geometry, Phys.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Ito, Stochastic thermodynamic interpretation of infor- mation geometry, Phys

Reference 29

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Ito and A

Reference 30

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

Reference 34

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Observation 4be83dc8-c649-44ed-aa58-8ddb0fd5ad49 · outbound

This paper cites Scandi, D.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Scandi, D

Reference 36

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

Reference 37

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Observation 132f1ff8-6111-4eb3-b000-06d5bdf713cb · outbound

This paper cites Barros, S.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Barros, S

Reference 38

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Observation 51cf4ac9-61f0-4a45-9208-ef7485d9b7a4 · outbound

This paper cites Ma, R.-X.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Ma, R.-X

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Observation 35452d4c-24eb-4695-be48-72e92ea38ea3 · outbound

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Observation 432321c5-fa37-4761-a975-362bc7125b6b · outbound

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Oikawa, Y

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Observation d23ea3cc-cf70-4e66-945c-eb19a41a1420 · outbound

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Observation 2ed85549-c04e-4338-854b-45a200dddcc1 · outbound

This paper cites Aurell, C.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Aurell, C

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Observation 6423f994-ccbe-400d-abb2-ea364b65aec7 · outbound

This paper cites Aurell, K.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Aurell, K

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Observation 5b8b506e-b2b9-44c2-b608-3bf063560aae · outbound

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Thermodynamic interpretation of Wasserstein distance

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Observation 95db85e6-a712-41d5-99f7-390295fe1413 · outbound

This paper cites Nakazato and S.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Nakazato and S

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Observation 467f3f9f-b83d-4adc-b8d7-c0f2fe98d9b0 · outbound

This paper cites Proesmans, J.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Proesmans, J

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Observation 537f01d8-efa9-4405-ac19-f6cf893f8f2f · outbound

This paper cites Proesmans, J.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Proesmans, J

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Observation b12c6f1b-1c7f-4392-898e-f60109fe8747 · outbound

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Observation 457fd0b2-4533-4ba1-8a1b-fd1ff14747a4 · outbound

This paper cites Chennakesavalu and G.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Chennakesavalu and G

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Observation acaf54c1-019a-4912-a5f2-1775fa65b953 · outbound

This paper cites Van Vu and Y.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Van Vu and Y

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Observation 1f9a70cc-ca14-4d1c-bc97-fadd10df3f8d · outbound

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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source=pdf_text observed=2026-08-04T16:52:31.227634Z digest=sha256:9acbb3460aab2ac5efd5efcf2a963bc5cb7a84f5927ea75073a9290057039e53

Observation 9fdccc24-27fe-42ba-a95e-3e204b6adf7b · outbound

This paper cites Yoshimura, A.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Yoshimura, A

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source=pdf_text observed=2026-08-04T16:52:31.231185Z digest=sha256:7f2c4f55636fcf323ef633cea1e3347c498e860e60041a259e5c1f8420140f5c

Observation 6f2ef0f0-885a-40b0-984f-2fb48b367a67 · outbound

This paper cites Van Vu and K.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Van Vu and K

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source=pdf_text observed=2026-08-04T16:52:31.234478Z digest=sha256:7e12768436fe765b65f7f11442fa4d6e97c7075286f0a016038d2b67fbbdefd1

Observation 1e335297-0541-4d16-8ec1-b205a307553e · outbound

This paper cites Nagayama, K.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Nagayama, K

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Observation c8e8ced8-08e4-4096-93dd-fd4b96af3d8d · outbound

This paper cites Sagawa and M.

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Observation 71ef3efa-7e8c-4adf-bc62-175a53caffb3 · outbound

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Observation a6c36c28-4ba1-4029-a763-d93790f2fc8f · outbound

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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Observation 4324c32f-9789-41af-9b8f-edbc6af98b30 · outbound

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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source=pdf_text observed=2026-08-04T16:52:31.250734Z digest=sha256:2854f5c4ec73b5abba92cea59caf56a7a48922c8fb6f73452d28e504d33f4245

Observation 12883c65-4da9-4d12-b908-ddda3096900b · outbound

This paper cites Taghvaei, O.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Taghvaei, O

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Observation b3a4da7d-a942-4e8b-a14e-c23208b82519 · outbound

This paper cites Fujimoto and S.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Fujimoto and S

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source=pdf_text observed=2026-08-04T16:52:31.257426Z digest=sha256:3141d9d6c28808e6e83499ea450c432fbc0fb677a3a535d9610c9c51b58d03ec

Observation d88e23b8-9318-44f3-847c-4afdd3d5240a · outbound

This paper cites Nagase and T.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Nagase and T

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Observation faf4fe4c-51cf-46b4-af2f-fad2a57f1e18 · outbound

This paper cites Nagase and T.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Nagase and T

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Observation cd464df5-b7c3-47f3-8d05-7570a2355d36 · outbound

This paper cites Kamijima, K.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Kamijima, K

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Observation d1707374-af65-4a93-b5f4-05881e87ac9e · outbound

This paper cites Kamijima, A.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Kamijima, A

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Observation 1a6bb245-df07-459e-95b0-c22293c53518 · outbound

This paper cites an unresolved cited work.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

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source=pdf_text observed=2026-08-04T16:52:31.273767Z digest=sha256:8cbf37bdc9750c0d3eef286f8b9120cfeaa83f8fd7b4f131521f1171a941ed0a

Observation 222667b4-8f0d-4ce0-80c9-8e04fad5f14a · outbound

This paper cites Risken,The Fokker-Planck Equation: Methods of So- lution and Applications, 2nd ed.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Risken,The Fokker-Planck Equation: Methods of So- lution and Applications, 2nd ed

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Observation a0528c37-a1f4-4965-916a-092806b38a98 · outbound

This paper cites Benamou and Y.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Benamou and Y

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Observation 39f1a447-60b6-43a1-98af-cc835b43cbbe · outbound

This paper cites Kogelnik and T.

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source=pdf_text observed=2026-08-04T16:52:31.283612Z digest=sha256:688f1949544a0c207119f24e1040793597c9cf601fe64551b462eb7641eae73a

Observation dbfda8fc-0e8e-4a86-b041-bb7f94a02e5e · outbound

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Observation e3184733-d5ef-43f8-b126-3a05f757089b · outbound

This paper cites Roßnagel, O.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Roßnagel, O

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source=pdf_text observed=2026-08-04T16:52:31.289705Z digest=sha256:091c173f2a9aa46413b7eaa7ec937e77387bfb135975d2b66c234db3bd68f1ac

Observation 4439d6df-d3ca-4ca1-a835-bf27165c90f5 · outbound

This paper cites Klaers, S.

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Observation 947eb2b8-b8c5-4ab5-bef7-1cb51d1e6c6a · outbound

This paper cites Rugar and P.

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Observation de547410-64c5-419b-adc4-f5bf04ed9a40 · outbound

This paper cites Rashid, T.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Rashid, T

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source=pdf_text observed=2026-08-04T16:52:31.299002Z digest=sha256:ef6fb54408ab9b5bdcc388228fdee598e69390bc79e9ff3db0f491a8b7d92095

Observation 71eb896d-af7c-4d67-80c9-674bc3ec16cc · outbound

This paper cites Quantum squeezing of a levitated nanomechanical oscillator.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Quantum squeezing of a levitated nanomechanical oscillator

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source=pdf_text observed=2026-08-04T16:52:31.302030Z digest=sha256:89f1e53cf64d5ed44950c872b5a3700f4fa8bc1c00cdfedcd417ccd523178784

Observation d2b89ba5-8db0-467f-a246-03124bb18923 · outbound

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Gelbrich, On a formula for the L 2 wasserstein met- ric between measures on euclidean and hilbert spaces, Mathematische Nachrichten147, 185 (1990)

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Observation ba784810-06c2-4d38-8bf4-341be63fae9e · outbound

This paper cites Landauer, Information is physical, Physics Today44, 23 (1991), https://pubs.aip.org/physicstoday/article- pdf/44/5/23/8304036/23 1 online.pdf.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Landauer, Information is physical, Physics Today44, 23 (1991), https://pubs.aip.org/physicstoday/article- pdf/44/5/23/8304036/23 1 online.pdf

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Observation 7605270f-f698-45c6-8a70-73c7b5a84d67 · outbound

This paper cites B´ erut, A.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics B´ erut, A

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Observation 189fd2de-8ec8-4af4-afb3-deb36207d8e0 · outbound

This paper cites an unresolved cited work.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

Reference 79

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Observation 475075e1-b8c4-482d-b246-ca66c5f0844c · outbound

This paper cites Pi˜ nero, R.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Pi˜ nero, R

Reference 80

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This paper cites Kolchinsky, I.

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Kolchinsky, I

Reference 81

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Optimizing optimal transport: Role of final distributions in finite-time thermodynamics Unresolved cited work

Reference 82

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Pith citing papers

Observation e7d715f6-fc04-405b-84d1-cf3d562aa0c4 · inbound

Geometric decomposition of information flow: New insights into information thermodynamics cites this paper.

Geometric decomposition of information flow: New insights into information thermodynamics Optimizing optimal transport: Role of final distributions in finite-time thermodynamics

Reference 51

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