Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-02T05:54:41.481445Z
Paper Citation Record · LEDGER
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces
As of 12 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2607.13279.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-12T00:44:14.829002Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-12T00:44:15.131513Z
Reference resolution
58 of 58 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved58
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- malformed identifier0
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d5f444c3-9cbc-4d41-a5e0-31c73ab52e9f · outbound
This paper cites Agrachev, D.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Agrachev, D
Reference 1
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- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1819814-d111-4347-86be-6182c5ad4ca3 · outbound
This paper cites The Graph Geometric Control Condition.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces The Graph Geometric Control Condition
Reference 2
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Observation 8cc37229-b535-42c5-b68d-ef506200935e · outbound
This paper cites Apraiz and J.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Apraiz and J
Reference 3
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Unavailable: canonical work link unavailable.
Observation 4306bd9b-8265-45be-8af7-10cb5d98b6f7 · outbound
This paper cites Avdonin, J.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Avdonin, J
Reference 4
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Observation a35bd43e-f756-4af2-a477-6b6122236b2d · outbound
This paper cites Beauchard, P.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Beauchard, P
Reference 5
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Observation e1683c6a-4173-4bbd-838c-eed1c410a9c3 · outbound
This paper cites Beauchard, J.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Beauchard, J
Reference 6
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Unavailable: canonical work link unavailable.
Observation 78f41292-443c-4e14-a6b9-accdae84eb42 · outbound
This paper cites Beauchard, L.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Beauchard, L
Reference 7
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Observation 865fcd91-c7f5-42d4-89db-351031737f5c · outbound
This paper cites Berkolaiko and P.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Berkolaiko and P
Reference 8
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Observation a0d7f959-876a-4457-9fe5-edc7ced97626 · outbound
This paper cites A modified local Weyl law and spectral comparison results for $\delta'$-coupling conditions.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces A modified local Weyl law and spectral comparison results for $\delta'$-coupling conditions
Reference 9
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Observation e8d9864c-a3a7-4263-844d-d4a1660148d2 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 10
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Observation fdc83565-2e8c-4683-a365-abf2346cd2ff · outbound
This paper cites Bolte, S.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Bolte, S
Reference 11
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Observation c7b7eab7-385f-4fa0-94f6-64b987437962 · outbound
This paper cites Colin de Verdi` ere, L.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Colin de Verdi` ere, L
Reference 12
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Observation 4915ddd1-7769-4443-8bd3-ab67254f266e · outbound
This paper cites Spectral asymptotics for sub-Riemannian Laplacians.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Spectral asymptotics for sub-Riemannian Laplacians
Reference 13
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Observation c0fe5ec4-0d7e-4e2c-a9ad-df296c856fa1 · outbound
This paper cites Coulhon and A.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Coulhon and A
Reference 14
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Observation 8abf59dc-88b0-43f6-a419-0b00bb47baa5 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 15
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Observation 967f0fc4-6da6-4976-ab40-528b16d2a13f · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 16
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Observation b0e9d4bf-35de-47fe-ac3c-d36ff0700e7f · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 17
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Observation 3c5241b1-009c-4a51-9d66-6540da3f90f5 · outbound
This paper cites Dicke, A.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Dicke, A
Reference 18
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Observation 5fbc7947-3c40-451c-8243-e6c75f9607f5 · outbound
This paper cites Dolecki and D.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Dolecki and D
Reference 19
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Observation 58d57ef2-9c42-47ac-b8d2-a9869e96857a · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 20
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Observation bb9886e3-db51-4a6e-b3b9-c4cbf0de6666 · outbound
This paper cites Duprez and A.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Duprez and A
Reference 21
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Observation 8dc34f56-29e7-4225-b907-2bcc4c5ebfe3 · outbound
This paper cites Egidi and I.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Egidi and I
Reference 22
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Observation a5686898-b78a-4082-acbf-a567e4a6ae77 · outbound
This paper cites Ervedoza and E.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Ervedoza and E
Reference 23
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Observation f8c31a1b-950f-4efa-bf54-1a9a49be067d · outbound
This paper cites Fern´ andez-Cara and E.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Fern´ andez-Cara and E
Reference 24
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Observation 27a7ac46-2e56-4377-9c24-4ad2d2ef6a80 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 25
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Observation 55b0b661-63d8-4f91-abb2-f7b2ffccda26 · outbound
This paper cites Grigor ’yan.Heat Kernel and Analysis on Manifolds, volume 47 ofAMS/IP Studies in Advanced Mathematics.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Grigor ’yan.Heat Kernel and Analysis on Manifolds, volume 47 ofAMS/IP Studies in Advanced Mathematics
Reference 26
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Observation 729f7434-37f4-4314-9d25-8eeab2692773 · outbound
This paper cites Grigor’yan, J.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Grigor’yan, J
Reference 27
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Observation b8ab0c34-ac49-4e40-8f31-5a67746e2a2f · outbound
This paper cites Grigor’yan and J.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Grigor’yan and J
Reference 28
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Observation db8db3f4-49d1-4e3e-a214-3eb1d2fedd4f · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 29
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Observation f5cd675f-921d-4a3d-9ef5-aa79da749275 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 30
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Observation a722488a-fa78-4af8-a1dd-c220bea1090b · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 31
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Observation 9f844ef7-38b8-4a6c-adf3-b04022b6dbfd · outbound
This paper cites H¨ ormander.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces H¨ ormander
Reference 32
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Observation 534ddc03-048f-4782-b7d0-6f95e64c393d · outbound
This paper cites H¨ ormander.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces H¨ ormander
Reference 33
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Observation fd49d54c-c7bb-417c-997d-9bc55431668e · outbound
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Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 34
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Observation 28388702-ad80-4290-b7e3-a3c84413e38b · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 35
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Observation 2441e63a-db06-4755-a6fb-4aa3c0fd1a35 · outbound
This paper cites Laurent and M.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Laurent and M
Reference 36
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Observation f3be9655-93e1-46db-8fa8-49b9f11fb354 · outbound
This paper cites Le Rousseau and G.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Le Rousseau and G
Reference 37
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Observation ad2b1ea6-bfa5-4c8b-831a-933e303ebe47 · outbound
This paper cites Spectral Inequalities for the Schr{\"o}dinger operator.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Spectral Inequalities for the Schr{\"o}dinger operator
Reference 38
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Observation d59b1d20-ebb1-450b-b5d4-ef4c0dcacdf5 · outbound
This paper cites Lebeau and L.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Lebeau and L
Reference 39
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Observation 658d6f37-16b7-4fa5-af95-d4d99d89860f · outbound
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Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 40
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Observation f40b4050-a729-4742-9af0-c8cf3484a111 · outbound
This paper cites Lissy and E.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Lissy and E
Reference 41
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Observation 83f93d6c-3a49-4820-a96d-dac77720a796 · outbound
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Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 42
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Observation 5b37714c-9c53-4e22-9eac-041f10b7495f · outbound
This paper cites Mazari-Fouquer, Y.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Mazari-Fouquer, Y
Reference 43
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Observation 7cf629b4-2fee-4e84-9a50-65786ccf709c · outbound
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Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 44
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Observation 83eecc9e-9a52-4907-b4cb-7f7d36f6c69d · outbound
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Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 45
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Observation dcff7de8-9a1e-4874-99d5-9a18a183db7f · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 46
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Unavailable: canonical work link unavailable.
Observation d609dec8-4e10-4074-b6f3-8d1a86f98718 · outbound
This paper cites Naki´ c, M.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Naki´ c, M
Reference 47
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Unavailable: canonical work link unavailable.
Observation 208f8315-a128-4925-8bf6-9109afefd4da · outbound
This paper cites Naki´ c, M.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Naki´ c, M
Reference 48
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Unavailable: canonical work link unavailable.
Observation 36fecabd-47ab-40c1-82c8-32bf650a92f4 · outbound
This paper cites Odˇ zak and L.ˇS´ ceta.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Odˇ zak and L.ˇS´ ceta
Reference 49
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Unavailable: canonical work link unavailable.
Observation 5fc5427c-e0c6-4e6a-b02f-affb21836034 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 50
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Unavailable: canonical work link unavailable.
Observation d6de3526-46e9-47d2-98ed-c86f1a51de7f · outbound
This paper cites S´ anchez-Calle.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces S´ anchez-Calle
Reference 51
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Observation 684d861e-db34-4612-8e76-61481b1e9be3 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 52
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Unavailable: canonical work link unavailable.
Observation 4bafceea-b542-48c0-b0ca-1fa37dec7296 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 53
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Unavailable: canonical work link unavailable.
Observation 7203ad11-eec8-4056-8923-ec5acf291e34 · outbound
This paper cites Tr´ elat.Control in Finite and Infinite Dimension.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Tr´ elat.Control in Finite and Infinite Dimension
Reference 54
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cf4d4a77-91a1-43eb-9a15-8cd7ca926ccc · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 55
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc0a8105-4353-42bd-9964-b304e640cf68 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 56
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Unavailable: canonical work link unavailable.
Observation 44e0779e-225f-45e2-875f-87cd2baace1f · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 57
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Unavailable: canonical work link unavailable.
Observation de294a88-3f5d-4325-be22-9777e5309d19 · outbound
This paper cites an unresolved cited work.
Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces Unresolved cited work
Reference 58
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 2454c91e-de94-4a42-8ee8-0f98042c96dd · inbound
Optimal cost of fast boundary controls for the one-dimensional heat equation cites this paper.
Optimal cost of fast boundary controls for the one-dimensional heat equation Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces
Reference 1
- Resolution
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- local_arxiv, observed 2026-08-12T00:44:15.139917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.