Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:22:26.857785Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2509.09945.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:22:26.857785Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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
63 of 63 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 5f6befdb-6da2-43ef-8f83-66b4cd53b0aa · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator The absolutely continuous spectrum of the almost Mathieu operator
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c03f99cd-78a7-4fd2-b81c-c430ae228b54 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Avila and D
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e73276aa-59e2-4212-bc6d-632e0aaee668 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Avila and S
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c338b780-c350-4e31-b1a8-1217079a3583 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b36cefaf-c599-432f-b2ca-0151ebce3331 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Avila and R
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 942f95e9-566e-4cf5-9bf6-eb5a2e934510 · outbound
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1929d737-e88c-4950-b859-9f7ac1854dd1 · outbound
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 50fa5387-68ac-4b93-875b-aa6082d1adfd · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Dry Ten Martini Problem in the non-critical case
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6920b6b2-e310-4c5d-a5f5-7fa51c07fe00 · outbound
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 69656c2d-f6ee-4d45-8f63-8a3f600261c5 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator B\'ellissard and B
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9bbeb488-7621-46c7-9293-9b73ad995839 · outbound
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3f71b954-4db2-4e6f-aec6-4bc024326608 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Beresnevich, D
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 44ba8b38-8c8c-4e85-8bae-47d621a988ba · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 323490ac-62c5-490e-b14a-5989391c6f0b · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Bourgain , H\"older regularity of integrated density of states for the almost M athieu operator in a perturbative regime , Lett
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a416afa3-5536-4fb0-8e00-ce6e8a426a78 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Bourgain and A
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7e83416b-e798-46aa-83ba-6134fcb5448a · outbound
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4b9299ff-2fb9-4ad4-884b-8a24f0ca0d13 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Bugeaud , A note on inhomogeneous D iophantine approximation , Glasg
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2714544e-d696-46eb-8434-94b3c20be0f9 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Ann., 327 (2003), pp
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d1ba0577-bd6b-4298-b44c-483a4670b69e · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3d3ad9c3-435a-41ba-afe0-749e84e242f9 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Cawley and R
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4ac18c56-ca40-4cd4-894e-d48d0f408769 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ed213fc6-2e98-4f1c-97a8-fbab47b08cd7 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Craig and B
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5dcf5db6-b416-43c9-87fd-722c767bf35c · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 32888075-a1aa-420e-a330-ea327b3fbab8 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Falconer , Fractal geometry , John Wiley & Sons, Ltd., Chichester, 1990
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0790cbb6-8d99-4156-8a28-ce83935a6e03 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1bc2a44d-7cd2-40d2-91b2-a7cd9e8b15f2 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Fuchs and D
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation de82bdd7-c08f-4fe6-8d90-77a02cb99f62 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Goldstein and W
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 03299814-99e8-4c63-a900-cb07f2bde939 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Hadj Amor , H\"older continuity of the rotation number for quasi-periodic co-cycles in SL (2, R) , Comm
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f4329428-e956-499c-8b8c-2185b8940693 · outbound
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 955b321a-5d07-4d86-b0b8-20c872435de0 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Cantor spectrum for multidimensional quasi-periodic Schr\"odinger operators
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c91b9d86-9fe2-4edd-ba82-b8a7e45b1255 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Helffer and J
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cfcc089f-86db-48b8-8720-ffb86cde2def · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Jitomirskaya , Metal-insulator transition for the almost Mathieu operator , Ann
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8b5e1ae0-1d8f-408a-aead-a17791035af4 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 32d08ad4-0b1f-42f0-ba5d-f891f5b1e21b · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Jitomirskaya and W
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e667be01-907c-46d4-9a8e-d1ba9d5e8b78 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4ae135f4-ee01-4340-9057-1e0adf2dd056 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Kac , Public commun , AMS Annual Meeting, (1981)
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c1fee38f-102f-446b-856f-7670e9e8dbc8 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Karaliolios, X
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 40f69df7-75c6-4483-8a2a-995c9bbab1b6 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 65412eb1-bc36-4db9-bf11-2fe48646f69e · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ea1ff154-54ae-4678-80d2-2a4dca7ad22d · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Klein , Anderson localization for the discrete one-dimensional quasi-periodic S chr\" o dinger operator with potential defined by a G evrey-class function , J
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1c7ab77c-e0c0-4784-aa02-996c93f3614e · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Kuipers and H
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fb2fcd73-c08b-49dc-bb9b-cae6958bf062 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Kurzweil , On the metric theory of inhomogeneous diophantine approximations , Studia Math., 15 (1955), pp
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cbd71079-1e89-4421-89cf-967ab293beb7 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Last , Zero measure spectrum for the almost M athieu operator , Comm
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b9dbc77f-17b9-4d89-9d23-eb583024a64b · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator I , in X I th I nternational C ongress of M athematical P hysics ( P aris, 1994), Int
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5f03cfd6-5365-4e20-b8a7-d67ed309d7f8 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Last , Spectral theory of sturm-liouville operators on infinite intervals: A review of recent developments , in Sturm-Liouville Theory, W
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 829ee779-9db1-433a-aa03-7ffba83a61a0 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Lau and S.-M
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 067a957d-1df5-4eb3-8c5c-c8745541eb3a · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Exact local distribution of the absolutely continuous spectral measure
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1f8752f-63ac-4c33-aa58-487e46d2f028 · outbound
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2dabf1f9-21ac-4298-8b42-52117ee63810 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 77a73a7d-1ed1-4c6a-9e20-45c44329cad3 · outbound
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2853be1f-641d-4520-b3d8-d9d69c4d3525 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Olsen , A multifractal formalism , Adv
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e159969a-ad88-41e9-a529-f0a79615720f · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Parisi and U
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation dd200b5b-d4ce-400e-b034-00dbcfe69bff · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Peierls , Zur theorie des diamagnetismus von leitungselektronen , Zeitschrift f \"u r Physik, 80 (1933), pp
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 16844bf9-8ebb-4b67-83e4-d534ea1e891a · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Pesin and H
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9ce08c6a-a81f-43d7-99f9-02eb97f46b07 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 29b93e54-8ea6-410c-9aa3-32e74930a930 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Puig , Cantor spectrum for the almost M athieu operator , Comm
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b7f37f80-7aba-424c-8073-483c4a2726aa · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Rauh , Degeneracy of landau levels in crystals , Physica Status Solidi (b), 65 (1974), pp
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8aee130e-c79e-4763-89b5-7a5c469d78c3 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Simon , Almost periodic S chr\"odinger operators: a review , Adv
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 32aa0c8c-d751-4eb6-b79e-ee68ea2e1942 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1c80f310-6957-4eb7-ab4f-d4a99220292e · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Simon , Fifty years of the spectral theory of schr\"odinger operators , Linde Hall Inaugural Math Symposium, Caltech, (2019)
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f6f0b404-3678-4e8e-b7b9-1786a7cc638b · outbound
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6aa598bf-6b08-4b40-a57c-f40f3a2ae84d · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 521a6a0f-093e-4362-93bd-b43fe26cb2b0 · outbound
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator Troubetzkoy and J
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
No inbound Pith citation observations are available.