Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-23T04:07:30.484837Z
Paper Citation Record · LEDGER
Cutoff for geodesic paths on hyperbolic manifolds
As of 12 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2502.06325.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
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Source: cited_works
Reference resolution
39 of 39 outbound references displayed
- verified exact1
- verified fuzzy35
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f8249cb2-f417-4e7a-b750-3cdc9cabb070 · outbound
This paper cites Shuffling cards and stopping times.
Cutoff for geodesic paths on hyperbolic manifolds Shuffling cards and stopping times
Reference 1
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- verified fuzzy
- raw_fallback, observed 2026-05-23T04:15:23.708798Z
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.
Observation f66b5668-b5f3-493e-84fc-530fb42e95a1 · outbound
This paper cites Random walks on finite groups and rapidly mixing M arkov chains.
Cutoff for geodesic paths on hyperbolic manifolds Random walks on finite groups and rapidly mixing M arkov chains
Reference 2
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- raw_fallback, observed 2026-05-23T04:15:23.712330Z
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.
Observation 29ee34a1-95e8-4830-a4d7-949d621bbebf · outbound
This paper cites Friedman- R amanujan functions in random hyperbolic geometry and application to spectral gaps.
Cutoff for geodesic paths on hyperbolic manifolds Friedman- R amanujan functions in random hyperbolic geometry and application to spectral gaps
Reference 3
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- raw_fallback, observed 2026-05-23T04:15:23.716217Z
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.
Observation b35bc12c-c2fe-4a4e-8b0a-b3659e584960 · outbound
This paper cites Spectral gap of random hyperbolic surfaces.
Cutoff for geodesic paths on hyperbolic manifolds Spectral gap of random hyperbolic surfaces
Reference 4
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- arxiv_id, observed 2026-05-23T04:12:31.176207Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 431efc85-3163-4aca-b659-cc26575052c3 · outbound
This paper cites Universal cutoff for D yson O rnstein U hlenbeck process.
Cutoff for geodesic paths on hyperbolic manifolds Universal cutoff for D yson O rnstein U hlenbeck process
Reference 5
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- raw_fallback, observed 2026-05-23T04:15:23.720133Z
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.
Observation 728e05ee-7e23-4214-969b-7e0623d8c59c · outbound
This paper cites Characterization of cutoff for reversible M arkov chains.
Cutoff for geodesic paths on hyperbolic manifolds Characterization of cutoff for reversible M arkov chains
Reference 6
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.694103Z
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.
Observation f77b1c34-fcbf-4324-88b9-66e00339d7e3 · outbound
This paper cites Cutoff at the entropic time for random walks on covered expander graphs.
Cutoff for geodesic paths on hyperbolic manifolds Cutoff at the entropic time for random walks on covered expander graphs
Reference 7
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- raw_fallback, observed 2026-05-23T04:15:23.704989Z
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.
Observation 419bc9be-0d79-4f7a-b1e3-e7f874e334dc · outbound
This paper cites Orbital functions and heat kernels of Kleinian groups.
Cutoff for geodesic paths on hyperbolic manifolds Orbital functions and heat kernels of Kleinian groups
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T04:15:23.687101Z
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.
Observation a04785e1-5510-40fb-9214-235d7727be9d · outbound
This paper cites Cut-off phenomenon for O rnstein- U hlenbeck processes driven by Lévy processes.
Cutoff for geodesic paths on hyperbolic manifolds Cut-off phenomenon for O rnstein- U hlenbeck processes driven by Lévy processes
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T04:15:23.679860Z
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.
Observation bd874627-8d9f-4cac-8a7d-dcd4e0c89c07 · outbound
This paper cites Geometry and Spectra of Compact R iemann Surfaces.
Cutoff for geodesic paths on hyperbolic manifolds Geometry and Spectra of Compact R iemann Surfaces
Reference 10
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- raw_fallback, observed 2026-05-23T04:15:23.683897Z
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.
Observation 957dea3f-f538-4102-88c7-2fc8f5076ad8 · outbound
This paper cites On the asymptotic behavior of the hyperbolic B rownian motion.
Cutoff for geodesic paths on hyperbolic manifolds On the asymptotic behavior of the hyperbolic B rownian motion
Reference 11
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.690803Z
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.
Observation df73c618-8ff3-474a-bf3c-df86e417f52e · outbound
This paper cites Chapter I - the L aplacian.
Cutoff for geodesic paths on hyperbolic manifolds Chapter I - the L aplacian
Reference 12
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- raw_fallback, observed 2026-05-23T04:15:23.697339Z
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.
Observation 9610276c-c8a6-44a2-b121-c1e8cf4df751 · outbound
This paper cites Eigenvalue comparison theorems and its geometric applications.
Cutoff for geodesic paths on hyperbolic manifolds Eigenvalue comparison theorems and its geometric applications
Reference 13
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.664509Z
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.
Observation 773c1c10-ad37-4ca7-8c80-adf5836a8511 · outbound
This paper cites The cutoff phenomenon for ergodic M arkov processes.
Cutoff for geodesic paths on hyperbolic manifolds The cutoff phenomenon for ergodic M arkov processes
Reference 14
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- raw_fallback, observed 2026-05-23T04:15:23.671201Z
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.
Observation 6e58cf2a-3a39-4543-a748-9adf483bdee4 · outbound
This paper cites The cutoff phenomenon in finite M arkov chains.
Cutoff for geodesic paths on hyperbolic manifolds The cutoff phenomenon in finite M arkov chains
Reference 15
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- raw_fallback, observed 2026-05-23T04:15:23.695979Z
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.
Observation 72de9934-2cb1-482d-99c6-81f047e13a6c · outbound
This paper cites Generating a random permutation with random transpositions.
Cutoff for geodesic paths on hyperbolic manifolds Generating a random permutation with random transpositions
Reference 16
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.654054Z
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.
Observation 0c10c8de-70bd-4cb1-ac14-24b7ef39013f · outbound
This paper cites Cutoff on hyperbolic surfaces.
Cutoff for geodesic paths on hyperbolic manifolds Cutoff on hyperbolic surfaces
Reference 17
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.660948Z
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.
Observation 9f1121d7-973d-49dc-90e7-daf113532de8 · outbound
This paper cites Cutoff on graphs and the S arnak- X ue density of eigenvalues.
Cutoff for geodesic paths on hyperbolic manifolds Cutoff on graphs and the S arnak- X ue density of eigenvalues
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T04:15:23.671699Z
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.
Observation 998bf1d6-686a-4c0a-b1e1-6a623ff0a48d · outbound
This paper cites u nther. Sph\.
Cutoff for geodesic paths on hyperbolic manifolds u nther. Sph\
Reference 19
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.667924Z
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.
Observation 97c0a4e5-8eec-4985-979e-f284f386b8b3 · outbound
This paper cites Near optimal spectral gaps for hyperbolic surfaces.
Cutoff for geodesic paths on hyperbolic manifolds Near optimal spectral gaps for hyperbolic surfaces
Reference 20
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.701091Z
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.
Observation 1ee576d6-f0be-4f90-87d6-33fd383e9943 · outbound
This paper cites an unresolved cited work.
Cutoff for geodesic paths on hyperbolic manifolds Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T04:15:23.727081Z
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.
Observation 6fbb4a3e-731f-4cec-9a64-ca652b0e4e75 · outbound
This paper cites uber den ersten E igenwert des L aplace- O perators auf kompakten R iemannschen F l\.
Cutoff for geodesic paths on hyperbolic manifolds uber den ersten E igenwert des L aplace- O perators auf kompakten R iemannschen F l\
Reference 22
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- raw_fallback, observed 2026-05-23T04:15:23.634785Z
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.
Observation 30a1d794-301c-45ab-8499-fbb9efad8e6b · outbound
This paper cites Spherical means on compact R iemannian manifolds of negative curvature.
Cutoff for geodesic paths on hyperbolic manifolds Spherical means on compact R iemannian manifolds of negative curvature
Reference 23
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.627290Z
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.
Observation b210d19f-c06e-4186-bec8-a3a99118e115 · outbound
This paper cites Lubetzky, A.
Cutoff for geodesic paths on hyperbolic manifolds Lubetzky, A
Reference 24
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.630911Z
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.
Observation c2c72071-9556-4085-84e8-fd73874cdb9e · outbound
This paper cites Cutoff on all R amanujan graphs.
Cutoff for geodesic paths on hyperbolic manifolds Cutoff on all R amanujan graphs
Reference 25
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.638823Z
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.
Observation 72313de6-09d8-424d-88b3-b4acf4a1c166 · outbound
This paper cites Levin and Yuval Peres.
Cutoff for geodesic paths on hyperbolic manifolds Levin and Yuval Peres
Reference 26
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.642782Z
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.
Observation 654f602a-51bd-441c-89db-8f53302bfa81 · outbound
This paper cites Towards optimal spectral gaps in large genus.
Cutoff for geodesic paths on hyperbolic manifolds Towards optimal spectral gaps in large genus
Reference 27
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.642496Z
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.
Observation 06511acc-1397-4bb6-8c87-3990ef586d21 · outbound
This paper cites an unresolved cited work.
Cutoff for geodesic paths on hyperbolic manifolds Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T04:15:23.667767Z
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.
Observation 71702302-3dc2-4dff-9d66-4d3de69fb7f9 · outbound
This paper cites The cut-off phenomenon for B rownian motions on compact symmetric spaces.
Cutoff for geodesic paths on hyperbolic manifolds The cut-off phenomenon for B rownian motions on compact symmetric spaces
Reference 29
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.699578Z
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.
Observation f21d5770-d3fa-42a4-9411-daaa253fe8f8 · outbound
This paper cites A random cover of a compact hyperbolic surface has relative spectral gap 3 16 -.
Cutoff for geodesic paths on hyperbolic manifolds A random cover of a compact hyperbolic surface has relative spectral gap 3 16 -
Reference 30
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.676189Z
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.
Observation 836265c7-718e-4bb3-a5c0-15b794b34588 · outbound
This paper cites Decay of correlations for normally hyperbolic trapping.
Cutoff for geodesic paths on hyperbolic manifolds Decay of correlations for normally hyperbolic trapping
Reference 31
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.598599Z
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.
Observation f957a85d-13d7-45af-a24e-bb878690cd76 · outbound
This paper cites an unresolved cited work.
Cutoff for geodesic paths on hyperbolic manifolds Unresolved cited work
Reference 32
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- unresolved
- raw_fallback, observed 2026-05-23T04:15:23.602392Z
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.
Observation 48654cb1-a687-4737-b78a-8baf8f672bfa · outbound
This paper cites The rate of mixing for geodesic and horocycle flows.
Cutoff for geodesic paths on hyperbolic manifolds The rate of mixing for geodesic and horocycle flows
Reference 33
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- raw_fallback, observed 2026-05-23T04:15:23.606408Z
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.
Observation ee8256d3-830f-4ea4-b281-f4a6ec8bf2ff · outbound
This paper cites Cutoff for non-negatively curved M arkov chains.
Cutoff for geodesic paths on hyperbolic manifolds Cutoff for non-negatively curved M arkov chains
Reference 34
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.619025Z
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.
Observation 2a4aa2ea-3f37-4244-a534-ce838cd9de54 · outbound
This paper cites Escape rate of the B rownian motions on hyperbolic spaces.
Cutoff for geodesic paths on hyperbolic manifolds Escape rate of the B rownian motions on hyperbolic spaces
Reference 35
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.646505Z
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.
Observation c2605032-0d2f-42aa-ae80-13e23e69f861 · outbound
This paper cites Analysis of the L aplacian on the complete R iemannian manifold.
Cutoff for geodesic paths on hyperbolic manifolds Analysis of the L aplacian on the complete R iemannian manifold
Reference 36
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- raw_fallback, observed 2026-05-23T04:15:23.594598Z
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.
Observation e20990e2-91d8-4e03-8785-1c3c5f2f8e49 · outbound
This paper cites Geodesic flows and geodesic random walks.
Cutoff for geodesic paths on hyperbolic manifolds Geodesic flows and geodesic random walks
Reference 37
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- raw_fallback, observed 2026-05-23T04:15:23.723585Z
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.
Observation eab9cb35-f28e-42f3-a073-460f2d8b4d03 · outbound
This paper cites Bounds for multiplicities of automorphic representations.
Cutoff for geodesic paths on hyperbolic manifolds Bounds for multiplicities of automorphic representations
Reference 38
- Resolution
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- raw_fallback, observed 2026-05-23T04:15:23.586625Z
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.
Observation bdebdca4-cab1-4269-bc76-6b7f6036958f · outbound
This paper cites Random hyperbolic surfaces of large genus have first eigenvalues greater than 3 16 -.
Cutoff for geodesic paths on hyperbolic manifolds Random hyperbolic surfaces of large genus have first eigenvalues greater than 3 16 -
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T04:15:23.590927Z
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.
Pith citing papers
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