Paper Citation Record · LEDGER

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds

As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2501.06957.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.06957 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:56:56.049591Z

measured 39 of 39 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T12:45:50.054794Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T19:06:09.039180Z

Reference resolution

38 of 38 outbound references displayed

verified exact0
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External citation measurements

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Outbound references

Observation ecd5c3cb-a4c4-40cc-a19c-802ed9fb5600 · outbound

This paper cites Anker, V.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Anker, V

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.521848Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3419174c-837c-4e8a-a8ef-ba80e3a5ac0c · outbound

This paper cites Anker, V.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Anker, V

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.511435Z

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Observation 4835b16b-445c-47dd-9c58-d297a9317e79 · outbound

This paper cites Anker, V.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Anker, V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.501573Z

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Observation 4532c691-b808-4a41-a321-b9e02d9bc065 · outbound

This paper cites Anker, V.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Anker, V

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.491869Z

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Observation d18abfc1-d020-4408-aec8-1cc61522084b · outbound

This paper cites Beceanu, M.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Beceanu, M

Reference 5

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Observation 772b7026-fc0e-4983-8d67-cda6ab986b8b · outbound

This paper cites Beceanu, M.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Beceanu, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.471319Z

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Observation ea7d6ff9-070b-4a99-a523-bd3e634edd06 · outbound

This paper cites Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7262921c-253f-42f8-8235-42d0852a0121 · outbound

This paper cites o fstr\.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds o fstr\

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.461117Z

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Observation 27b07fad-36e5-4978-be70-22a43e38ce61 · outbound

This paper cites Calegari, Introduction to differential geometry, preprint, online.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Calegari, Introduction to differential geometry, preprint, online

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.451598Z

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Observation 17cf9479-c3c6-45c1-a105-326a2dc9b861 · outbound

This paper cites Chen, Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds III.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Chen, Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds III

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.442811Z

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Observation dba01b26-2591-4cc6-9cf0-9ad1d37780e6 · outbound

This paper cites Do Carmo, Riemannian Geometry, Birkh\" a user, 1992.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Do Carmo, Riemannian Geometry, Birkh\" a user, 1992

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.433466Z

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Observation 90432621-2a22-4ae5-9e04-582fcb678fb3 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Unresolved cited work

Reference 12

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Observation 3e69c042-59f0-45a2-ae61-ce70ddf23c4c · outbound

This paper cites Hassani, Wave equation on Riemannian symmetric spaces, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Hassani, Wave equation on Riemannian symmetric spaces, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.413732Z

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Observation 8b9722fd-ba5a-4669-b73c-76f8ba7963e5 · outbound

This paper cites Hassell, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Hassell, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.402869Z

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Observation dc6f6a08-50a5-483b-8c70-1a44de8d7b8b · outbound

This paper cites Ionescu, Fourier integral operators on noncompact symmetric spaces of real rank one, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Ionescu, Fourier integral operators on noncompact symmetric spaces of real rank one, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.391969Z

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Observation 21ff045d-b29a-4c4c-bfca-8782ead671d3 · outbound

This paper cites Kapitanski, Norm estimates in Besov and Lizorkin--Treibel spaces for the solutions of second order linear hyperbolic equations, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Kapitanski, Norm estimates in Besov and Lizorkin--Treibel spaces for the solutions of second order linear hyperbolic equations, J

Reference 16

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Observation 06928d37-a8bd-4f96-9293-97ed1b42ee88 · outbound

This paper cites Lee, Riemannian manifolds.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Lee, Riemannian manifolds

Reference 17

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Observation 9c8926e4-af68-4cc6-945a-54ecf3763c63 · outbound

This paper cites Marzuola, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Marzuola, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.357680Z

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Observation 23f27318-6944-4489-8cc7-271a75ff4d59 · outbound

This paper cites Marzuola, J.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Marzuola, J

Reference 19

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Observation 44b48034-7730-4eb2-bdad-ccbfac6a8380 · outbound

This paper cites Metcalfe, M.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Metcalfe, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.336716Z

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Observation 760bd2e9-35b7-4de6-948d-6ae934968ce8 · outbound

This paper cites Metcalfe, D.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Metcalfe, D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.327143Z

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Observation 9fc300ba-364e-4e25-8736-891728f0046d · outbound

This paper cites Mockenhaupt, A.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Mockenhaupt, A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.318401Z

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Observation 40bbcedb-c37b-4916-b5a1-ffc19736f6cd · outbound

This paper cites Rodnianski, W.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Rodnianski, W

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.309036Z

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Observation 0ed72515-42d7-4222-b5d5-28d1eb2a2f13 · outbound

This paper cites Schlag, A.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Schlag, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.298791Z

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Observation ea725321-fa9a-47d0-81a3-2d4f52357040 · outbound

This paper cites Schlag, A.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Schlag, A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.287072Z

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Observation ca249a7b-3656-46c6-ad49-09c675444017 · outbound

This paper cites an unresolved cited work.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:56:56.277064Z

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Observation 3bd37f68-22d1-4ac9-875f-4f9cb13aff91 · outbound

This paper cites Smith, A parametrix construction for wave equations with C^ 1,1 coefficients , Ann.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Smith, A parametrix construction for wave equations with C^ 1,1 coefficients , Ann

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.266729Z

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Observation 4b24162d-ef1b-42a1-94b7-824a25e0e44b · outbound

This paper cites Smith, C.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Smith, C

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.255660Z

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Observation 602c8ee6-be35-4e96-ab90-760ce3172b73 · outbound

This paper cites Smith, C.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Smith, C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.240015Z

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Observation 7b364905-e78d-47a3-b33d-b61de7c91cb2 · outbound

This paper cites Sogge, C.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Sogge, C

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.223892Z

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Observation ca7dd388-590c-419b-85d3-1b6a2242294b · outbound

This paper cites Staffilani, D.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Staffilani, D

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.208024Z

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Observation 660410da-7c8b-446f-99b3-fc6c946c8077 · outbound

This paper cites Tataru, Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation Amer.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation Amer

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.194312Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9d31d1df-95db-441b-aa16-9e732dfe3229 · outbound

This paper cites Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients II, Amer.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients II, Amer

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.179337Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d0ae09c3-ee64-4a16-8b83-7e9a5c04d348 · outbound

This paper cites Tataru, Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation, Trans.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation, Trans

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.165945Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bf8d6ede-a42a-4612-a483-dc468ba6ec28 · outbound

This paper cites Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.152929Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 52f28015-2975-4700-8881-ab6bbdf57e54 · outbound

This paper cites Tataru, Parametrices and dispersive estimates for Schr\" o dinger operators with variable coefficients , Amer.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Parametrices and dispersive estimates for Schr\" o dinger operators with variable coefficients , Amer

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.139833Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bfc33f94-cf50-4f53-9927-540e8a71709d · outbound

This paper cites Tataru, Local decay of waves on asymptotically flat stationary space-times, Amer.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Tataru, Local decay of waves on asymptotically flat stationary space-times, Amer

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.127586Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f0d2737f-da24-40af-a9fb-e4552027c7f3 · outbound

This paper cites Zhang, Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds, Advances in Math., 271(2015), pp.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Zhang, Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds, Advances in Math., 271(2015), pp

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:56:56.111905Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation b2cbf1c3-c094-4120-9573-7a66d51fa503 · inbound

Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit cites this paper.

Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:06:09.042234Z

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.