Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:12:08.499686Z
Paper Citation Record · LEDGER
Reduction theory for Fuchsian groups with cusps
As of 20 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2507.16958.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T22:57:51.862259Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
44 of 44 outbound references displayed
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External citation measurements
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Outbound references
Observation c544398f-cf5d-44b7-9f51-393ea261cfb4 · outbound
This paper cites Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature.
Reduction theory for Fuchsian groups with cusps Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature
Reference 1
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c7bb9348-ff54-45a0-bd4b-32dcc3c2e547 · outbound
This paper cites The backward continued fraction map and geodesic flow.Ergodic Theory and Dynamical Systems , 4(4):487–492, 1984.
Reduction theory for Fuchsian groups with cusps The backward continued fraction map and geodesic flow.Ergodic Theory and Dynamical Systems , 4(4):487–492, 1984
Reference 2
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8d1fe45f-9bea-4841-adb4-910555835d45 · outbound
This paper cites Geodesic flows, interval maps, and symbolic dynamics.
Reduction theory for Fuchsian groups with cusps Geodesic flows, interval maps, and symbolic dynamics
Reference 3
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2e70b873-e346-428a-a333-32200c659f18 · outbound
This paper cites Riemann’s mapping theorem for variable metrics.Ann.
Reduction theory for Fuchsian groups with cusps Riemann’s mapping theorem for variable metrics.Ann
Reference 4
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Observation 9e49f65c-314d-4c7d-ac22-c9ce60828da8 · outbound
This paper cites an unresolved cited work.
Reduction theory for Fuchsian groups with cusps Unresolved cited work
Reference 5
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4711ba55-3d44-4ddf-89c4-a77f01ad8ff5 · outbound
This paper cites Uniformization, moduli, and Kleinian groups.
Reduction theory for Fuchsian groups with cusps Uniformization, moduli, and Kleinian groups
Reference 6
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e38d4e5a-b93f-45b5-b162-106b720b8c29 · outbound
This paper cites Markov maps associated with Fuchsian groups.
Reduction theory for Fuchsian groups with cusps Markov maps associated with Fuchsian groups
Reference 7
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 67ea7a14-e8ff-47ed-b448-90f9ccb63a10 · outbound
This paper cites Generators and relations of γ0(n).
Reduction theory for Fuchsian groups with cusps Generators and relations of γ0(n)
Reference 8
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- raw_fallback, observed 2026-08-06T15:12:09.254009Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 45401437-b4ad-4bbc-9e04-564853b329d1 · outbound
This paper cites Dynamics of geodesic flows on hyperbolic compact surfaces with some elliptic points.
Reduction theory for Fuchsian groups with cusps Dynamics of geodesic flows on hyperbolic compact surfaces with some elliptic points
Reference 9
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 016dbdbd-d8b9-4aab-8864-f6efc4e80831 · outbound
This paper cites an unresolved cited work.
Reduction theory for Fuchsian groups with cusps Unresolved cited work
Reference 10
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1e3185b2-835a-4fe9-b240-e2058ee9af36 · outbound
This paper cites Earle and Curt McMullen.
Reduction theory for Fuchsian groups with cusps Earle and Curt McMullen
Reference 11
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 17b7056b-ebbe-4a0a-b282-48e2842b9e6e · outbound
This paper cites Discontinuous groups of isometries in the hyperbolic plane.
Reduction theory for Fuchsian groups with cusps Discontinuous groups of isometries in the hyperbolic plane
Reference 12
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Observation 5970c08e-3b6d-4bdf-ac52-86055749113f · outbound
This paper cites an unresolved cited work.
Reduction theory for Fuchsian groups with cusps Unresolved cited work
Reference 13
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bab33e49-49eb-461b-9087-d3371018541d · outbound
This paper cites an unresolved cited work.
Reduction theory for Fuchsian groups with cusps Unresolved cited work
Reference 14
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 904f98e7-2c40-4f1d-88ae-9235cc86d472 · outbound
This paper cites Die erzeugenden der hauptkongruenzgruppen fur primzahlstufen.
Reduction theory for Fuchsian groups with cusps Die erzeugenden der hauptkongruenzgruppen fur primzahlstufen
Reference 15
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Observation 8da664db-5a47-4fe7-9458-e901050a43c6 · outbound
This paper cites an unresolved cited work.
Reduction theory for Fuchsian groups with cusps Unresolved cited work
Reference 16
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3cc4b40b-a872-430c-9e69-ce2489ab6fff · outbound
This paper cites Generalized Hecke groups and Hecke polygons.
Reduction theory for Fuchsian groups with cusps Generalized Hecke groups and Hecke polygons
Reference 17
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 987a32b7-05e0-44ee-bca1-d010b55cc4cb · outbound
This paper cites Realizability of torsion free subgroups with prescribed signatures in Fuchsian groups.
Reduction theory for Fuchsian groups with cusps Realizability of torsion free subgroups with prescribed signatures in Fuchsian groups
Reference 18
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2fb947fb-5513-4df5-a2bd-d353e5dfa338 · outbound
This paper cites Jones and David Singerman.
Reduction theory for Fuchsian groups with cusps Jones and David Singerman
Reference 19
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 804954c4-b782-45fc-8909-f3f61d9e4237 · outbound
This paper cites Hyperbolic manifolds and discrete groups.
Reduction theory for Fuchsian groups with cusps Hyperbolic manifolds and discrete groups
Reference 20
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 826deddf-48e0-4e13-b30f-a42153f59768 · outbound
This paper cites Fuchsian groups.
Reduction theory for Fuchsian groups with cusps Fuchsian groups
Reference 21
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a689f221-dad8-4b01-bde4-486bbd4a66f8 · outbound
This paper cites Structure of attractors for (a,b)-continued fraction trans- formations.
Reduction theory for Fuchsian groups with cusps Structure of attractors for (a,b)-continued fraction trans- formations
Reference 22
- Resolution
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 80df3f57-5e09-4291-82b5-f8c0594a46ed · outbound
This paper cites Applications of ( a, b)-continued fraction transformations.
Reduction theory for Fuchsian groups with cusps Applications of ( a, b)-continued fraction transformations
Reference 23
- Resolution
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cf4d9aa8-05a8-4959-8443-d7675cb589e8 · outbound
This paper cites Structure of attractors for boundary maps associated to Fuchsian groups.
Reduction theory for Fuchsian groups with cusps Structure of attractors for boundary maps associated to Fuchsian groups
Reference 24
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c015a31f-be8a-432b-a399-b2c6c8e43028 · outbound
This paper cites Canonical polygons for finitely generated Fuchsian groups.
Reduction theory for Fuchsian groups with cusps Canonical polygons for finitely generated Fuchsian groups
Reference 25
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 79c07af2-72dc-4fa8-8247-92ea28aefe31 · outbound
This paper cites Gesammelte mathematische Abhandlungen.
Reduction theory for Fuchsian groups with cusps Gesammelte mathematische Abhandlungen
Reference 26
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 37755b07-7c3d-4a54-9fa5-e747a00b001a · outbound
This paper cites An arithmetic-geometric method in the study of the subgroups of the modular group.
Reduction theory for Fuchsian groups with cusps An arithmetic-geometric method in the study of the subgroups of the modular group
Reference 27
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f0acac18-7797-496c-9caa-a799afa7e3ba · outbound
This paper cites Representations of a class of infinite groups.
Reduction theory for Fuchsian groups with cusps Representations of a class of infinite groups
Reference 28
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Observation 3020e10d-b207-4671-b663-44387b70454c · outbound
This paper cites Discontinuous groups and automorphic functions , volume No.
Reduction theory for Fuchsian groups with cusps Discontinuous groups and automorphic functions , volume No
Reference 29
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1ad5bf5b-4eb8-4484-95ae-41d5a4974372 · outbound
This paper cites The classification of non-Euclidean plane cristallographic groups.
Reduction theory for Fuchsian groups with cusps The classification of non-Euclidean plane cristallographic groups
Reference 30
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d1215c92-807c-4e37-b619-962589dd9d3b · outbound
This paper cites On homotopic mappings of Riemann surfaces.
Reduction theory for Fuchsian groups with cusps On homotopic mappings of Riemann surfaces
Reference 31
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Observation f74007b6-f849-45e4-9e22-ffff6367b0a2 · outbound
This paper cites Isomorphism between Fuchsian groups.
Reduction theory for Fuchsian groups with cusps Isomorphism between Fuchsian groups
Reference 32
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Observation 667249f7-681d-4574-a95e-6991eb710194 · outbound
This paper cites On Poincar´ e’s theorem for fundamental polygons.
Reduction theory for Fuchsian groups with cusps On Poincar´ e’s theorem for fundamental polygons
Reference 33
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 19affd94-2d82-4895-afe2-cc6e5d6057e3 · outbound
This paper cites On the classification of Kleinian groups.
Reduction theory for Fuchsian groups with cusps On the classification of Kleinian groups
Reference 34
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Observation 5f024879-a3d3-434e-a975-6284b1245017 · outbound
This paper cites Isomorphisms of function groups.
Reduction theory for Fuchsian groups with cusps Isomorphisms of function groups
Reference 35
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 93157e53-5697-414e-abe7-0e9c3011b91f · outbound
This paper cites ¨Uber die erzeugenden von kongruenzuntergruppen der modulgruppe.
Reduction theory for Fuchsian groups with cusps ¨Uber die erzeugenden von kongruenzuntergruppen der modulgruppe
Reference 36
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Observation f0b493d4-c0b2-472b-bd82-e306b8d4ce7f · outbound
This paper cites Teichm¨ uller space and fundamental domains of Fuchsian groups.
Reduction theory for Fuchsian groups with cusps Teichm¨ uller space and fundamental domains of Fuchsian groups
Reference 37
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- raw_fallback, observed 2026-08-06T15:12:08.701006Z
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8a96d83e-14c7-4ada-9353-fe408961c5f9 · outbound
This paper cites Symbolic dynamics for geodesic flows.
Reduction theory for Fuchsian groups with cusps Symbolic dynamics for geodesic flows
Reference 38
- Resolution
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- raw_fallback, observed 2026-08-06T15:12:08.681149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a0363d73-d422-4f77-80d3-45e3644e8a21 · outbound
This paper cites The boundary mapping induced by an isomorphism of covering groups.
Reduction theory for Fuchsian groups with cusps The boundary mapping induced by an isomorphism of covering groups
Reference 39
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8ef3c3d1-d81d-40ba-9fa4-024d9ac7bb85 · outbound
This paper cites On discrete groups of the unit disk and their isomorphisms.
Reduction theory for Fuchsian groups with cusps On discrete groups of the unit disk and their isomorphisms
Reference 40
- Resolution
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5eaade80-b4c1-4143-8f84-39c19c8a277b · outbound
This paper cites Quasiconformal extension of quasisymmetric mappings compatible with a M¨ obius group.
Reduction theory for Fuchsian groups with cusps Quasiconformal extension of quasisymmetric mappings compatible with a M¨ obius group
Reference 41
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 880bbee8-06df-4528-bd60-fa12e3bb4792 · outbound
This paper cites Reduction theory and periods of modular forms, 2023.
Reduction theory for Fuchsian groups with cusps Reduction theory and periods of modular forms, 2023
Reference 42
- Resolution
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 886cedd6-ca03-45bc-a745-a4a18de2b516 · outbound
This paper cites Surfaces and Planar Discontinuous Groups, Lecture Notes in Mathematics 835.
Reduction theory for Fuchsian groups with cusps Surfaces and Planar Discontinuous Groups, Lecture Notes in Mathematics 835
Reference 43
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Observation 4f2e82cb-9598-45a3-9d98-755c73d392ec · outbound
This paper cites an unresolved cited work.
Reduction theory for Fuchsian groups with cusps Unresolved cited work
Reference 1973
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- raw_fallback, observed 2026-08-06T15:12:08.907664Z
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation 060c2229-214b-46f9-be55-5c1253cbd96d · inbound
Algebraic correspondences and Schwarz reflections: Where rational dynamics meets Kleinian groups cites this paper.
Algebraic correspondences and Schwarz reflections: Where rational dynamics meets Kleinian groups Reduction theory for Fuchsian groups with cusps
Reference 3
- Resolution
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- no resolver link, observed 2026-08-03T22:57:51.862259Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.