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Paper Citation Record · LEDGER

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains

As of 8 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.28344.

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

pith.paper-citation-record.v1
2607.28344 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T10:38:21.684833Z

measured 36 of 36 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

36 of 36 outbound references displayed

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  • verified fuzzy0
  • unresolved34
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Outbound references

Observation a9773c5b-aef9-4f42-b4be-a039cb4ab963 · outbound

This paper cites Ambrosio,Transport equation and Cauchy problem for BV vector fields, Invent.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Ambrosio,Transport equation and Cauchy problem for BV vector fields, Invent

Reference 1

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Observation c75217fc-94a8-4313-a55d-f63affaca04f · outbound

This paper cites an unresolved cited work.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 2

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source=pdf_text observed=2026-07-31T10:38:19.534747Z digest=sha256:5ee815f7f400d1810e2e133dd4b0c3521e6f80f59c3f4fe967a42e85e11a8698

Observation a8ab24ef-4249-42d1-8b49-0d5557a3fd77 · outbound

This paper cites Ambrosio, N.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Ambrosio, N

Reference 3

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source=pdf_text observed=2026-07-31T10:38:19.543278Z digest=sha256:bf8e8854d8d57330bb255dbddcefe38152d7b3f8b2f1e5236d1e5cf5136d3c6b

Observation 5881943a-be5f-4374-8b75-1780ca360ae9 · outbound

This paper cites Ambrosio, N.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Ambrosio, N

Reference 4

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source=pdf_text observed=2026-07-31T10:38:19.572611Z digest=sha256:320096dd560c683dddf600c332e08239584ab020ccfd007cdd132d105fbd554e

Observation 77203acd-29fe-4b91-bd41-e53e768d91c8 · outbound

This paper cites Anzellotti,Pairings between measures and bounded functions and compensated compactness, Ann.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Anzellotti,Pairings between measures and bounded functions and compensated compactness, Ann

Reference 5

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source=pdf_text observed=2026-07-31T10:38:19.579034Z digest=sha256:a6bd201c82d6807f5a40849edb6092d7c3cc49a9b06b2a3ee7136065bea0fbd6

Observation d2138cdf-1911-4cf2-9f5d-eb05f873bce6 · outbound

This paper cites an unresolved cited work.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 6

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source=pdf_text observed=2026-07-31T10:38:19.594742Z digest=sha256:7d28e0da054dcbd38c6d506a3308f3a7fa83a6e1c4e2aaf8e372321343d926b7

Observation 323ee089-bcff-4eab-9e6c-9ee6e288e804 · outbound

This paper cites Appl.28(1988), 275–292.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Appl.28(1988), 275–292

Reference 7

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source=pdf_text observed=2026-07-31T10:38:19.639910Z digest=sha256:c95cada10b5a6860f73d57e7ea943316cb44c1bce9bb8e4e1261aebb6ca8f908

Observation c3d860a3-94be-4797-bff0-cd4e72a6a5a7 · outbound

This paper cites an unresolved cited work.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 8

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Observation 70b14d84-937b-4431-a59d-23142c8f24b3 · outbound

This paper cites an unresolved cited work.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 9

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source=pdf_text observed=2026-07-31T10:38:19.704744Z digest=sha256:5c223ba65755c8c624c59d4a4e615eab0c8afa1cd8b28aeef3c64946d180104c

Observation e1b7617d-85a9-4545-93ca-85b57d7f929f · outbound

This paper cites Mimicking diffusion processes with differential equations.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Mimicking diffusion processes with differential equations

Reference 10

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source=pdf_text observed=2026-07-31T10:38:19.744744Z digest=sha256:6f303904470a555e90e6361ae13c49d44bafad621802fa2b042b2290653d9aa6

Observation 5dbff443-4e4e-486a-8008-51684a6efccb · outbound

This paper cites Crippa, C.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Crippa, C

Reference 11

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Observation 3826f113-2751-4028-8770-cad40d0a1f2c · outbound

This paper cites Crippa, C.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Crippa, C

Reference 12

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source=pdf_text observed=2026-07-31T10:38:19.810905Z digest=sha256:c7f77a0fa0e2daa84fe93708daa8f19868b8b385dca7b0dc6938d2d5e05f916f

Observation a9c851a6-2bd9-4b76-905d-df689153c32a · outbound

This paper cites Crippa, L.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Crippa, L

Reference 13

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Observation 7e22d7df-cafd-460a-9ef4-fba908b4781a · outbound

This paper cites Depauw,Non unicit´ e des solutions born´ ees pour un champ de vecteurs BV en dehors d’un hyperplan, C.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Depauw,Non unicit´ e des solutions born´ ees pour un champ de vecteurs BV en dehors d’un hyperplan, C

Reference 14

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Observation a80844b3-7df7-429b-b9cf-1a14f2ed3f99 · outbound

This paper cites De Rosa, M.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains De Rosa, M

Reference 15

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Observation dae9106a-365a-432b-95e4-6a216f29e7c5 · outbound

This paper cites an unresolved cited work.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 16

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source=pdf_text observed=2026-07-31T10:38:19.932671Z digest=sha256:8258f54dcb2aa722b5d5ecd3e0820d5f1f6fca275d5b4ed0601a7576efda67fc

Observation 12fad9cc-6499-4455-baaa-763c7f373121 · outbound

This paper cites Dupuis, K.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Dupuis, K

Reference 17

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source=pdf_text observed=2026-07-31T10:38:19.977886Z digest=sha256:61c2b4a92762b96393f93edad23e5864904db71dc820d241b06ebfd4ac33db9e

Observation 0d76c17d-01ff-433e-80ed-1a6f030e7ca8 · outbound

This paper cites Fishman, L.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Fishman, L

Reference 18

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Observation 29c4bc19-9dd3-4e03-9544-420b4ab9480a · outbound

This paper cites Gy¨ ongy,Mimicking the one-dimensional marginal distributions of processes having an Itˆ o differential, Probability theory and related fields,71(1986), 501–516.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Gy¨ ongy,Mimicking the one-dimensional marginal distributions of processes having an Itˆ o differential, Probability theory and related fields,71(1986), 501–516

Reference 19

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Observation 7611e14b-29d3-47cd-9e7c-7b5b03f1e40c · outbound

This paper cites Gyrya, L.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Gyrya, L

Reference 20

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Observation f218d2f2-3e56-416a-b6c7-a516c7ba91d9 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 21

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Observation b4e33be0-d580-4a3e-91c1-ecaf3fba9506 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 22

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Observation 9fd1ca40-4966-4702-ba40-a717fcd9d2f2 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

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Observation a7291f43-b3cd-4f1d-bd65-f7653be60018 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 24

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Observation 3ab3925a-f674-4365-a487-3e11df313297 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 25

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Observation f8eaf3f0-17b7-4798-b2cd-40c1e76bfe92 · outbound

This paper cites Le Bris and P.-L.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Le Bris and P.-L

Reference 26

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Observation 757aa1c8-6343-4ba7-a680-65920c998a95 · outbound

This paper cites Lions, A.-S.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Lions, A.-S

Reference 27

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Observation 315f1c89-b0e6-4f0e-b595-4f5f82d4a45f · outbound

This paper cites Lions, ´Equations diff´ erentielles op´ erationnelles et probl` emes aux limites, Grundlehren der mathema- tischen Wissenschaften111, Springer, Berlin, 1961.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Lions, ´Equations diff´ erentielles op´ erationnelles et probl` emes aux limites, Grundlehren der mathema- tischen Wissenschaften111, Springer, Berlin, 1961

Reference 28

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Observation 7809012d-b42f-497c-82ee-186ec8155a72 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 29

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source=pdf_text observed=2026-07-31T10:38:20.838012Z digest=sha256:f3b28a661b029b5e29a0d7f02453dd86246edba292c87d6b413f39258ad99c94

Observation 38fa3185-62ae-4d73-955e-198634820633 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 30

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source=pdf_text observed=2026-07-31T10:38:20.960817Z digest=sha256:bfd1d3bdee673de97c2db3c84022976c161259a704be2431aee521b6a5208fa9

Observation 4eca3351-c293-424b-a1d4-d613dae53d73 · outbound

This paper cites Ramanan,Reflected diffusions defined via the extended Skorokhod map, Electron.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Ramanan,Reflected diffusions defined via the extended Skorokhod map, Electron

Reference 31

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source=pdf_text observed=2026-07-31T10:38:21.081912Z digest=sha256:ddeed7583e36e87781b0fc0534a2b3fa99e2554fafec675f90590f359d821eff

Observation 83b2c6bc-190f-47ec-b31b-e117bc339ed0 · outbound

This paper cites Saisho,Stochastic differential equations for multi-dimensional domain with reflecting boundary, Probab.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Saisho,Stochastic differential equations for multi-dimensional domain with reflecting boundary, Probab

Reference 32

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Observation 609a588d-6f70-4cff-8445-933e0ce2c7e6 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 33

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source=pdf_text observed=2026-07-31T10:38:21.314742Z digest=sha256:bdeef629977b3d44acbed7c1ec6ed9d0aebabf090b3ad793623fa0c94c4e3f02

Observation fa5c1112-8ed2-4a3e-a5a5-e90eff7c8a17 · outbound

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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Unresolved cited work

Reference 34

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source=pdf_text observed=2026-07-31T10:38:21.462183Z digest=sha256:8ca273c7415d7bbf1aac8a209d1db021dd1d61e37ecad3a6c97446b0293b95c7

Observation 3f6e85ee-3df9-4254-9aa3-95edf4fdf3b5 · outbound

This paper cites Temam,Navier–Stokes Equations: Theory and Numerical Analysis, North-Holland, Amsterdam, 1977.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Temam,Navier–Stokes Equations: Theory and Numerical Analysis, North-Holland, Amsterdam, 1977

Reference 35

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source=pdf_text observed=2026-07-31T10:38:21.574241Z digest=sha256:88ec73d38f4285588b3454b89bdc7151e9c3db7088b6db6a83bc8ef934e60930

Observation 78b0aa28-d032-472a-9dbe-6d66b3a08f03 · outbound

This paper cites Wang,Analysis for Diffusion Processes on Riemannian Manifolds, World Scientific, 2014.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Wang,Analysis for Diffusion Processes on Riemannian Manifolds, World Scientific, 2014

Reference 36

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