Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T10:19:03.054360Z
Paper Citation Record · LEDGER
Semiclassical approximation for barrier billiards
As of 23 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2504.18834.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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
37 of 37 outbound references displayed
- verified exact0
- verified fuzzy30
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a98fdea1-3cff-4607-a42c-23b5e2665ae9 · outbound
This paper cites As the transfer operator is exact it can be used also for numerical computations of the billiard barrier spectrum.
Semiclassical approximation for barrier billiards As the transfer operator is exact it can be used also for numerical computations of the billiard barrier spectrum
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.472597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d942be80-82e5-4399-bb5b-35a37b5abe78 · outbound
This paper cites R2(s) =P∞ n=0Pn(s) is the two-point corre- lation function which determines the probability that two levels are at distance s (with any numbers of levels inside).
Semiclassical approximation for barrier billiards R2(s) =P∞ n=0Pn(s) is the two-point corre- lation function which determines the probability that two levels are at distance s (with any numbers of levels inside)
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.495652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 30b500c8-a7a1-4bf2-9ab8-7af0f84ef963 · outbound
This paper cites an unresolved cited work.
Semiclassical approximation for barrier billiards Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:19:03.484116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 644f4f63-7329-43e6-9d5d-bf3ec1729f03 · outbound
This paper cites an unresolved cited work.
Semiclassical approximation for barrier billiards Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:19:03.460603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 46b237f8-6f20-4160-b29d-044f4ba94d1d · outbound
This paper cites Bohigas, M.
Semiclassical approximation for barrier billiards Bohigas, M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.450928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0f91268a-1333-4e5a-9d0a-3e90a4bd4eef · outbound
This paper cites an unresolved cited work.
Semiclassical approximation for barrier billiards Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:19:03.440253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4078b3fc-5c56-4fe2-9c19-8234ded417b9 · outbound
This paper cites Richens and M.V.
Semiclassical approximation for barrier billiards Richens and M.V
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.429417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 12fc6f4f-5495-49e3-b699-ad73007f818a · outbound
This paper cites ˙Zyczkowski, Classical and quantum billiards: integrable, nonintegrable and pseudo- integrable, Acta Physica Polonica B 23, 245 (1992).
Semiclassical approximation for barrier billiards ˙Zyczkowski, Classical and quantum billiards: integrable, nonintegrable and pseudo- integrable, Acta Physica Polonica B 23, 245 (1992)
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.419077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1bbc133b-d2e0-4bf9-bc3e-bff1ef534ed0 · outbound
This paper cites Shudo, Y.
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.407382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e2cc3af4-215c-4397-851d-f863854346bc · outbound
This paper cites Bogomolny, U.
Semiclassical approximation for barrier billiards Bogomolny, U
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.396292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b1c9689b-814e-407e-8658-cfc87307f7fb · outbound
This paper cites Wiersig, Spectral properties of quantized barrier billiards , Phys.
Semiclassical approximation for barrier billiards Wiersig, Spectral properties of quantized barrier billiards , Phys
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.385352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 56eb1efd-dd16-4902-923e-8d7ea5269c35 · outbound
This paper cites Bogomolny, O.
Semiclassical approximation for barrier billiards Bogomolny, O
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.374350Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0229aadb-8be8-401b-894e-36efd6fa758d · outbound
This paper cites Bogomolny, Intermediate spectral statistics of rational triangular quantum billiards, Phys.
Semiclassical approximation for barrier billiards Bogomolny, Intermediate spectral statistics of rational triangular quantum billiards, Phys
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.362212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation da8cddd7-dd4d-4ee5-a0c7-851be3f6245c · outbound
This paper cites Chaos and integrability in triangular billiards.
Semiclassical approximation for barrier billiards Chaos and integrability in triangular billiards
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T10:19:02.964273Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8effc810-cad4-40c2-a061-d773235cb7de · outbound
This paper cites an unresolved cited work.
Semiclassical approximation for barrier billiards Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:19:03.351998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8c973502-cc62-475e-8f98-0b0ec47fc637 · outbound
This paper cites an unresolved cited work.
Semiclassical approximation for barrier billiards Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:19:03.342361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 182fa94b-4368-4fe2-8921-59e85942f4c1 · outbound
This paper cites Bogomolny, Barrier billiard and random matrices , J.
Semiclassical approximation for barrier billiards Bogomolny, Barrier billiard and random matrices , J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.332396Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e33fda02-a9c5-4f3c-aab1-f8f25331f0a3 · outbound
This paper cites Bogomolny, Random matrices associated with general barrier billiards , J.
Semiclassical approximation for barrier billiards Bogomolny, Random matrices associated with general barrier billiards , J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.322191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a633db2a-d677-4d45-a739-7b81a1a22aa4 · outbound
This paper cites Bogomolny, Level compressibility of certain random unitary matrices , Entropy 24, 795 (2022).
Semiclassical approximation for barrier billiards Bogomolny, Level compressibility of certain random unitary matrices , Entropy 24, 795 (2022)
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.311199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 06e9bcf3-59be-40af-9a5d-11ac86e0c776 · outbound
This paper cites Noble, Methods based on the Wiener-Hopf technique , Chelsea Publishing Company, New York, N.
Semiclassical approximation for barrier billiards Noble, Methods based on the Wiener-Hopf technique , Chelsea Publishing Company, New York, N
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.299883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 433aabbe-6c40-49a3-8e16-24fe86a69dc9 · outbound
This paper cites Bogomolny, Semiclassical quantization of multidimensional systems , Nonlinearity 5, 805 (1992).
Semiclassical approximation for barrier billiards Bogomolny, Semiclassical quantization of multidimensional systems , Nonlinearity 5, 805 (1992)
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.288067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 39c70449-3417-4935-bdad-8c1c9be82065 · outbound
This paper cites Bogomolny, O.
Semiclassical approximation for barrier billiards Bogomolny, O
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.277195Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b22d492a-b973-46d1-8de6-093f6d9208e3 · outbound
This paper cites Bogomolny, O.
Semiclassical approximation for barrier billiards Bogomolny, O
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.266461Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7829b141-e633-4945-94be-6482a4a04106 · outbound
This paper cites Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional in- tegrable systems I.
Semiclassical approximation for barrier billiards Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional in- tegrable systems I
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.255479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 988bd2af-2c9e-4a8a-8add-6976c649dcf4 · outbound
This paper cites Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional in- tegrable systems II.
Semiclassical approximation for barrier billiards Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional in- tegrable systems II
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.244085Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 040ba9b3-94f8-456a-b14f-f8828977ff69 · outbound
This paper cites Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional in- tegrable systems, III.
Semiclassical approximation for barrier billiards Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional in- tegrable systems, III
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.233475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c944c031-d095-4d49-a217-9671c6551884 · outbound
This paper cites an unresolved cited work.
Semiclassical approximation for barrier billiards Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T10:19:03.222701Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2431c21f-0e5e-4733-ab87-16103c650607 · outbound
This paper cites Giraud, PhD thesis, Spectral statistics of diffraction systems , (2002).
Semiclassical approximation for barrier billiards Giraud, PhD thesis, Spectral statistics of diffraction systems , (2002)
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.212371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0b050f26-dcc1-461d-8d69-2ebca9b9f27e · outbound
This paper cites Kottos and U.
Semiclassical approximation for barrier billiards Kottos and U
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.201800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ed9778b3-5f07-48b3-b13f-e6f1c835d5e9 · outbound
This paper cites Bateman, Higher transcendental functions, vol.
Semiclassical approximation for barrier billiards Bateman, Higher transcendental functions, vol
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.190342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d08ac91f-78f8-46e0-a1c2-e842ce0ba565 · outbound
This paper cites Slepian, Prolate spheroidal wave functions.
Semiclassical approximation for barrier billiards Slepian, Prolate spheroidal wave functions
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.178013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 84c78d50-6951-4133-9659-24419e5529bf · outbound
This paper cites Sommerfeld, Mathematische Theorie der Diffraction , Math.
Semiclassical approximation for barrier billiards Sommerfeld, Mathematische Theorie der Diffraction , Math
Reference 32
- Resolution
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- raw_fallback, observed 2026-08-16T10:19:03.165553Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1da29765-4c7d-4605-a47a-d6d180763301 · outbound
This paper cites Sommerfeld, Optics: Lectures on Theoretical Physics , vol.
Semiclassical approximation for barrier billiards Sommerfeld, Optics: Lectures on Theoretical Physics , vol
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.151958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 24627e47-6246-4b92-b38c-83c51dcb85f9 · outbound
This paper cites Bogomolny, Formation of superscar waves in plane polygonal billiards , J.
Semiclassical approximation for barrier billiards Bogomolny, Formation of superscar waves in plane polygonal billiards , J
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.138964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4341446c-a22a-4f54-96ed-a5c7bacb5745 · outbound
This paper cites Ledoux, Concentration of measure and logarithmic Sobolev inequalities, S´ eminaire de prob- abilit´ es (Strasbourg),33, 120 (1999).
Semiclassical approximation for barrier billiards Ledoux, Concentration of measure and logarithmic Sobolev inequalities, S´ eminaire de prob- abilit´ es (Strasbourg),33, 120 (1999)
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.125043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 76388e15-1668-44a2-80fc-780772b38ea4 · outbound
This paper cites Giraud, J.
Reference 36
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- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.113223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 4c021e22-80e1-4bd6-ae8e-76958808c69f · outbound
This paper cites Bogomolny and C.
Semiclassical approximation for barrier billiards Bogomolny and C
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T10:19:03.102514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
No inbound Pith citation observations are available.