Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-08T19:20:22.230304Z
Paper Citation Record · LEDGER
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$
As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2608.04357.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
46 of 46 outbound references displayed
- verified exact3
- verified fuzzy37
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8615252a-5603-44f8-a2b6-171d4b1b56fd · outbound
This paper cites Alphonse and N.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Alphonse and N
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.583625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 00faf21b-56de-4e94-bf96-8669304b1f3a · outbound
This paper cites Ammar-Khodja, A.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Ammar-Khodja, A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.569821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9dc4dca1-f307-4dd3-aa89-6dd29167a762 · outbound
This paper cites Anantharaman and F.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Anantharaman and F
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.556251Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 02e7204d-311f-4838-a9be-46603c1f4219 · outbound
This paper cites an unresolved cited work.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T19:20:23.542837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4fc8949f-6f51-4254-aede-596a148e5a5a · outbound
This paper cites Bardos, G.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Bardos, G
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.529373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b89cc6f1-6e6b-4c2c-b681-9527c78c3f16 · outbound
This paper cites Beauchard and C.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Beauchard and C
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.515459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3a34d83d-514c-4d8c-ad9f-dfb88aec3794 · outbound
This paper cites Benabdallah, P.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Benabdallah, P
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.502100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a842ae4a-df6d-4f53-8cbf-14f6ed873e8e · outbound
This paper cites Bonami and B.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Bonami and B
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.488287Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f007db22-c7d6-4cd0-b4ae-3c39419aa711 · outbound
This paper cites Boscain, M.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Boscain, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.474506Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 24c8e574-e354-4bfd-8f15-8bba5eb5503e · outbound
This paper cites Bourgain, On the control problem for Schr¨ odinger operators on tori, inGeometric aspects of functional analysis, Springer, Cham, 2014, 97–105.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Bourgain, On the control problem for Schr¨ odinger operators on tori, inGeometric aspects of functional analysis, Springer, Cham, 2014, 97–105
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.460708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 40c315b9-49e6-400d-8eb0-84036043de6a · outbound
This paper cites Bourgain, N.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Bourgain, N
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.446893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9ef0ce6c-c135-40de-ae2c-79c27b6355b2 · outbound
This paper cites Burq and M.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Burq and M
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.432811Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 31331976-6fc3-44c0-afbd-8a3c134eeb19 · outbound
This paper cites Burq and M.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Burq and M
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.419046Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1514041e-2bce-4f93-8d57-b82184e29205 · outbound
This paper cites Burq and H.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Burq and H
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T19:20:22.087617Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9bec635b-6a0f-4caf-9b32-76f7878c095b · outbound
This paper cites Burq and H.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Burq and H
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-08-08T19:20:22.829690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d8257b58-2d95-40f2-bf46-3bd181194f7f · outbound
This paper cites Chambrion, P.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Chambrion, P
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.404805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2e0009da-cf11-435f-9fd1-8aa576f04453 · outbound
This paper cites Coron,Control and nonlinearity, Mathematical Surveys and Monographs, vol.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Coron,Control and nonlinearity, Mathematical Surveys and Monographs, vol
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.390456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 35887b51-a201-48cd-96bb-744e98fe1f69 · outbound
This paper cites Dard´ e and S.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Dard´ e and S
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.376146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 664a02d4-755a-45e2-972b-af074dcae239 · outbound
This paper cites Fern´ andez-Cara, M.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Fern´ andez-Cara, M
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.361838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4616202f-0bac-4529-afd8-b168b45809b9 · outbound
This paper cites Fontes-Merz, A multidimensional version of Tur´ an’s lemma,J.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Fontes-Merz, A multidimensional version of Tur´ an’s lemma,J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.347359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b616852f-3413-492a-9516-44b9687d293e · outbound
This paper cites Observability from measurable sets for strongly coupled parabolic systems via single-component observation.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Observability from measurable sets for strongly coupled parabolic systems via single-component observation
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-08T19:20:22.603725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 351a976a-9652-4b67-a86f-960cd0d91cac · outbound
This paper cites Guerrero, Null controllability of some systems of two parabolic equations with one control force,SIAM J.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Guerrero, Null controllability of some systems of two parabolic equations with one control force,SIAM J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.333261Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9ec5f061-56ad-4876-98e2-ebda0bbf9c01 · outbound
This paper cites an unresolved cited work.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Unresolved cited work
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-08-08T19:20:22.582404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f92896c7-f9e1-4ec4-aa6c-13d6baeecb1e · outbound
This paper cites Haraux, S´ eries lacunaires et contrˆ ole semi-interne des vibrations d’une plaque rectangulaire,J.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Haraux, S´ eries lacunaires et contrˆ ole semi-interne des vibrations d’une plaque rectangulaire,J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.319298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e4b688f2-300b-4d85-9615-cbe61dc0bdae · outbound
This paper cites Hartmann, K.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Hartmann, K
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.305402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a97c18b2-7b3e-4ad2-97b9-5a7375da9982 · outbound
This paper cites Havin and B.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Havin and B
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.291272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 09d184b6-cbf7-4970-a4e2-53d2b098c870 · outbound
This paper cites Huang and C.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Huang and C
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.277663Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ec68076a-8fab-45ad-9295-d9f12abb13d1 · outbound
This paper cites an unresolved cited work.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T19:20:23.263313Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 15df72ba-e94d-4bc1-9d5f-13effebaac19 · outbound
This paper cites Jaffard, Contrˆ ole interne exact des vibrations d’une plaque rectangulaire,Port.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Jaffard, Contrˆ ole interne exact des vibrations d’une plaque rectangulaire,Port
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.249413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 383cdce3-7551-430a-8ceb-ee73428c1952 · outbound
This paper cites Kahane, Pseudo-p´ eriodicit´ e et s´ eries de Fourier lacunaires,Ann.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Kahane, Pseudo-p´ eriodicit´ e et s´ eries de Fourier lacunaires,Ann
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.235380Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation aef54cc8-283b-41c5-9286-0b3c94dd3e19 · outbound
This paper cites Komornik, On the exact internal controllability of a Petrowsky system,J.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Komornik, On the exact internal controllability of a Petrowsky system,J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.221302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 943fb9a8-e2f6-48c5-b370-61f07476a464 · outbound
This paper cites Laurent, Internal control of the Schr¨ odinger equation,Math.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Laurent, Internal control of the Schr¨ odinger equation,Math
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.207857Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 84b3be4a-c854-47a8-98a7-8ef625ae018d · outbound
This paper cites Observability estimates for the Schr{\"o}dinger equation in the plane with periodic bounded potentials from measurable sets.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Observability estimates for the Schr{\"o}dinger equation in the plane with periodic bounded potentials from measurable sets
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-08T19:20:22.172050Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 126db110-5bc2-45df-bd42-646f228d8f3e · outbound
This paper cites Li and J.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Li and J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.194536Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 994467d8-b8ac-4446-bd4b-946007797bc4 · outbound
This paper cites Lions,Contrˆ olabilit´ e exacte, perturbations et stabilisation de syst` emes distribu´ es.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Lions,Contrˆ olabilit´ e exacte, perturbations et stabilisation de syst` emes distribu´ es
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.180735Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 230ae6b9-ff49-403d-a275-4d0a138b999f · outbound
This paper cites Lissy and E.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Lissy and E
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.167003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 88d51a13-1822-4e58-9963-3d2c34ee010b · outbound
This paper cites an unresolved cited work.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T19:20:23.152918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0bd97fb7-c868-429a-b45f-70c6fff5c6d0 · outbound
This paper cites Maci` a, High-frequency propagation for the Schr¨ odinger equation on the torus,J.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Maci` a, High-frequency propagation for the Schr¨ odinger equation on the torus,J
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.139214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 01694dc8-8ad8-4a91-8bcf-243c19d9eafb · outbound
This paper cites an unresolved cited work.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-08T19:20:23.125284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation de51b585-559f-431b-ab33-b164d7c5f5d8 · outbound
This paper cites Rauch and M.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Rauch and M
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.111750Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 005d2d26-139a-41c7-9afc-b3ea35fb5b96 · outbound
This paper cites Schechter and B.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Schechter and B
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.097777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2dbd350e-3161-4d6c-bd15-013c6d2b589b · outbound
This paper cites Tao, Exact control for the Schr¨ odinger equation on the torus from small balls,Pure Appl.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Tao, Exact control for the Schr¨ odinger equation on the torus from small balls,Pure Appl
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.082440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9b96ca9b-6a9b-4298-9b09-47c3c76028fd · outbound
This paper cites T¨ aufer, Controllability of the Schr¨ odinger equation on unbounded domains without geometric control condition,ESAIM Control Optim.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ T¨ aufer, Controllability of the Schr¨ odinger equation on unbounded domains without geometric control condition,ESAIM Control Optim
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.068140Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6a6775be-2f3a-4dc5-b381-88767af9148a · outbound
This paper cites Tucsnak, Reachable states for infinite-dimensional linear systems: old and new, inProceedings of the International Congress of Mathematicians 2022, Vol.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Tucsnak, Reachable states for infinite-dimensional linear systems: old and new, inProceedings of the International Congress of Mathematicians 2022, Vol
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.054083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c3fc8a9f-665b-4ea3-a98b-06a7e409a29d · outbound
This paper cites Wunsch, Periodic damping gives polynomial energy decay,Math.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Wunsch, Periodic damping gives polynomial energy decay,Math
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.039819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b4fbda65-0d3d-41ff-94f8-824f83a5a413 · outbound
This paper cites Zygmund, A Cantor–Lebesgue theorem for double trigonometric series,Studia Math.43 (1972), 173–178.
Controllable subspaces and real-part observability for Schr\"odinger equations on $\mathbb T^d$ Zygmund, A Cantor–Lebesgue theorem for double trigonometric series,Studia Math.43 (1972), 173–178
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-08T19:20:23.025285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
No inbound Pith citation observations are available.