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Paper Citation Record · LEDGER

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations

As of 18 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 4 inbound Pith citation observations for arXiv:2412.11845.

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

pith.paper-citation-record.v1
2412.11845 v2

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:41:45.332971Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:49:27.058271Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T21:01:12.577423Z

Reference resolution

54 of 54 outbound references displayed

  • verified exact32
  • verified fuzzy3
  • unresolved18
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5eaae3ff-7cee-474c-b368-b7bd8c108c91 · outbound

This paper cites Baldi, M.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Baldi, M

Reference 1

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.908002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.094719Z digest=sha256:76c43bcd4a3a29b5b02e49fddee3347af415fdf19ce56185e1384b8b090c1fb8

Observation eb1c9d3e-9e5e-4545-9456-c752d8302e41 · outbound

This paper cites Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Long time stability for cubic nonlinear Schr\"odinger equations on non-rectangular flat tori

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:41:46.084597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.100110Z digest=sha256:7742b2812db20f52b320c6988f30fd76bf6fdbafd5f7c60f4ed47d4bf6b1b2c9

Observation b257ec47-7d9c-4489-a2e6-a8365a174e9d · outbound

This paper cites Bernier, E.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bernier, E

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.104950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.104950Z digest=sha256:a120ffad4a4853fef5d8a44b9975f78e4d9359517da9883b4828f1ad46aaca95

Observation d81050e7-061a-494c-a1cd-5dff08c0e6c7 · outbound

This paper cites Bernier, B.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bernier, B

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.109919Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.109919Z digest=sha256:6c04e1c90355328729c1db996862ebe786c67d3f7d3b48a75930fe64e3ad1cab

Observation 842a70d1-fc55-43b0-b3e8-174b211177cc · outbound

This paper cites Bernier, B.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bernier, B

Reference 5

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.874696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.114859Z digest=sha256:f6475500cb4b007f8ef5145b7d8be20c53ce59ad845ef15d4a4c56a49536a1cc

Observation 0e59c9e2-2894-4018-b513-51fe1fa9857d · outbound

This paper cites Dynamics of quintic nonlinear Schr{\"o}dinger equations in $H^{2/5+}(\mathbb{T})$.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Dynamics of quintic nonlinear Schr{\"o}dinger equations in $H^{2/5+}(\mathbb{T})$

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:41:46.066138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.119741Z digest=sha256:278f6791bd65060fcc1fccbc057260f3aa1c99d66708b1b85d7a20b5925e5919

Observation 3208cdc8-adb7-40af-a791-73b6c43caace · outbound

This paper cites Berti, P.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Berti, P

Reference 7

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.860843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.125253Z digest=sha256:1ae07ef5665114c1b03feb7df0c8b926c617ba47ce5b2289774dfd0033a010ff

Observation 9ae2deaa-f1bc-4a1a-ba24-0fb84f468145 · outbound

This paper cites Berti, Z.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Berti, Z

Reference 8

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.846422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.129806Z digest=sha256:ac0c6d9dd6d7f7b4104fa5f6b7e880573d37b00adab389522e37fc71449038be

Observation 3bead78e-6553-4107-bf90-22921eb2c702 · outbound

This paper cites Berti, T.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Berti, T

Reference 9

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.832330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.134272Z digest=sha256:22daf1c0dbfa6a4b7c8b9101de5ba21ce460ed62e847a9bc63db5598fed62942

Observation 56fee972-2df0-416c-a33a-296e51cf0c54 · outbound

This paper cites Asymptotically full measure sets of almost-periodic solutions for the NLS equation.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Asymptotically full measure sets of almost-periodic solutions for the NLS equation

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:41:46.046331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.138552Z digest=sha256:e4e3ec33e048814b982884836e570f81b99a314bd61e8e9462426f0821e2039b

Observation 3e4f4f00-632c-42ec-b797-925ba5d8b027 · outbound

This paper cites Biasco, J.E.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Biasco, J.E

Reference 11

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.818433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.143650Z digest=sha256:d50d2447b31ec984b8f2f20a0595cdbe5913aaee8b219e315f57debafc332976

Observation 8ff6c484-bfc0-4ac0-8e96-b5bcd0e34382 · outbound

This paper cites Biasco, J.E.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Biasco, J.E

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.148202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.148202Z digest=sha256:e7e0a720f31708026849eb4eb9c78440146661061e64e2e94d7be5c5cbb829de

Observation 988f331f-574f-48f2-a998-559eac73cf2a · outbound

This paper cites Bohr , Almost Periodic Functions, Chelsea Publishing Co., New York, 1947.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bohr , Almost Periodic Functions, Chelsea Publishing Co., New York, 1947

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:41:46.126584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.152490Z digest=sha256:4a1e46815fb337eeb75df8585d1743777f34ea62994ddf753687811fcbf8385a

Observation d5a781ce-3f44-4d10-ad1f-c7ac2fb099b7 · outbound

This paper cites Bourgain , Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE, Internat.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain , Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE, Internat

Reference 14

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.795659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.156809Z digest=sha256:a78c81ad791897e22e2d0c5e54d372434007081ca55a5ae1a75ef4b904ab2828

Observation 0ced7e56-f6ae-4541-b5db-c8cfb7d66438 · outbound

This paper cites Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr\"odinger equation, Comm.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr\"odinger equation, Comm

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:41:46.112904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.160992Z digest=sha256:6c8fefb0f598d3580b613597de0084dff318925c9e9f68c02010b211c78d8460

Observation 5b152214-3376-49b2-869b-022d28197834 · outbound

This paper cites an unresolved cited work.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.167059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.167059Z digest=sha256:34ce0d28bfc2e9efc7de75dfb561aa3fbf813a473863743cae52e716418c0aa0

Observation 8fee6926-0697-4de5-ac01-25aee0da1070 · outbound

This paper cites Bourgain , Quasi-periodic solutions of H amiltonian perturbations of 2 D linear S chr\"odinger equations , Ann.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain , Quasi-periodic solutions of H amiltonian perturbations of 2 D linear S chr\"odinger equations , Ann

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.171281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.171281Z digest=sha256:e465895bb037aeba81b64b0ae34f199ee9b68bbbcfa9121dbb21d3bf30774509

Observation 57cdef68-dc5b-44cb-99eb-54681ac34c96 · outbound

This paper cites Bourgain , On diffusion in high-dimensional Hamiltonian systems and PDE, J.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain , On diffusion in high-dimensional Hamiltonian systems and PDE, J

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.175452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.175452Z digest=sha256:cfac6fa7604d82a6ef867a827f2635f15c344ae19e16355bd2c9bd0f66613e66

Observation 9a3a1f0b-1d4e-43ed-8f0d-09c15a6c43e3 · outbound

This paper cites Bourgain , On invariant tori of full dimension for 1 D periodic NLS , J.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bourgain , On invariant tori of full dimension for 1 D periodic NLS , J

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.179597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.179597Z digest=sha256:66ebb15a064f460a79b877f6aaaf2879884f7bbf5f5ab8c34920687998a6a04a

Observation c4760880-0830-4909-8229-b8e8b1112783 · outbound

This paper cites Bochnak, J.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Bochnak, J

Reference 20

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.746538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.183912Z digest=sha256:f8e226b33df8207707511bf95e1b55583c94d5b0db32f7a4d4dfa887e81c2786

Observation bc57733f-a1c6-4d2b-a3ff-0da06bcaea83 · outbound

This paper cites Chierchia, P.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Chierchia, P

Reference 21

Resolution
verified exact
raw_fallback, observed 2026-08-11T14:41:46.026376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.188013Z digest=sha256:7defaef82b2d1a22339e2b06a7f4050c85a6bcb834486bdc1710280b1f4af534

Observation dd3cbbb8-e716-4f13-b099-6ffe452565d3 · outbound

This paper cites Cong , The existence of full dimensional KAM tori for nonlinear Schr\"odinger equation, Math.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Cong , The existence of full dimensional KAM tori for nonlinear Schr\"odinger equation, Math

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.192105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.192105Z digest=sha256:fb321c0867756ae5c5ff3f1ef8305f77a0a1e5ce4b6eb0d6e49bf716b58fa0a2

Observation 8db63d57-7d3b-4c2c-9b57-e66cba06deb9 · outbound

This paper cites an unresolved cited work.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work

Reference 23

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.722005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.196364Z digest=sha256:10476c5e7331288d23a19849cb105bb97892a4d4e7d68612cc59094699edf348

Observation 047af598-ae4e-4773-8da0-2c0e9943107c · outbound

This paper cites an unresolved cited work.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work

Reference 24

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.707900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.200493Z digest=sha256:448ab67e3833f21d73c066b02171901886832ee5e71f4ca39d37e52e2ccc3f78

Observation 5e5e5cb0-f3ed-4ae7-93eb-6496963d4d21 · outbound

This paper cites Almost-periodic solutions to the NLS equation with smooth convolution potentials.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Almost-periodic solutions to the NLS equation with smooth convolution potentials

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:41:45.941258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.204749Z digest=sha256:369647c1073a6e89afea63c0e4c6baa3eb25587298465d56c3f4ae732e7f7f2e

Observation 25a65c9e-d9d6-47ed-afe6-06595cf15412 · outbound

This paper cites Craig, C.E.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Craig, C.E

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.209380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.209380Z digest=sha256:0d56424aeb3c5eaf7d27b9c812a9808731814d7922b694d124df50e717471fc0

Observation 214b6fb8-f50c-4423-a8f8-1487c32561e0 · outbound

This paper cites an unresolved cited work.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.213649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.213649Z digest=sha256:e315a398394f94eda6c8fab4d1f2dfbb734d83903c4d0a8d521781a898c707d9

Observation fb6b73e4-dc95-4239-9069-9c0e72dffd28 · outbound

This paper cites Eliasson, S.B.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Eliasson, S.B

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.218151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.218151Z digest=sha256:7efbfb914ad34a520afa23281e094cf7814356b156a036e9ebe991a78afbc8a8

Observation 99eea4bd-173a-4c0c-8120-eb7b9ab8d462 · outbound

This paper cites Eliasson, B.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Eliasson, B

Reference 29

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.666981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.222577Z digest=sha256:628dd1cef7166bf137d803b9f96b2a32498953899cee5e10b2da91129a501825

Observation f22c4a4a-4a4e-4532-856e-346adc749019 · outbound

This paper cites Erdo gan, N.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Erdo gan, N

Reference 30

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.652287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.226737Z digest=sha256:1a9b0f8222f0b1dc9488a178abd3349990505805e04127baa204f380c9c6bc36

Observation 798a1de1-bd9d-43fe-a295-a49989a311da · outbound

This paper cites Erdo gan, N.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Erdo gan, N

Reference 31

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.638199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.231209Z digest=sha256:ba5d127602ff95f27ee3637eac689f4e2f934b1513ebb71310c113a68dd6978e

Observation 5685f72c-68ea-4eae-98bc-f99053af79ef · outbound

This paper cites Erdo gan, N.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Erdo gan, N

Reference 32

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.623828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.235486Z digest=sha256:df651851eb7ac9b1ee124557f673262af796b9b665e1018966c13e31458f2c67

Observation 6012806b-1653-4b73-b0d0-006c709d9900 · outbound

This paper cites urel, N. Tzirakis, Smoothing for the fractional Schr\.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations urel, N. Tzirakis, Smoothing for the fractional Schr\

Reference 33

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.609269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.239735Z digest=sha256:73130f9026754fd0ab5d1600ce94f660839d1e3b6bf3f29d8c93f03cfea0b383

Observation d4d6ac83-4038-4a19-8ec4-65f92929387a · outbound

This paper cites Feola, F.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Feola, F

Reference 34

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.594258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.244196Z digest=sha256:a04e4f6084108501481c6f6dcb007324d6da58537b36f8bb293cb297f949e300

Observation f53392e4-0d05-4748-b267-684bdb49eb1d · outbound

This paper cites Fr\"olich, T.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Fr\"olich, T

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.248470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.248470Z digest=sha256:18d6306c051ef3e38fc016cb98b08f3738ecbe8cc6072c420bef1ed3e69dc4d0

Observation 34bce49a-a2cf-4702-ba1e-1972454ced22 · outbound

This paper cites an unresolved cited work.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work

Reference 36

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.570751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.252945Z digest=sha256:55f68edae59849bb5f68897e5df061d8a8519acef93d16c497e28d9f5e713ff5

Observation cad3e67f-0957-44af-b87d-2f24091b638d · outbound

This paper cites an unresolved cited work.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work

Reference 37

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.556869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.257190Z digest=sha256:8858f25af3c74bf75a782e71336a090bfaf1323d610ac99a109ed301d304ff71

Observation 67cb6d4a-2d36-4f17-b5bc-ef9ac2ce7b5d · outbound

This paper cites G\'erard, T.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations G\'erard, T

Reference 38

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.542610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.261370Z digest=sha256:f35162d89d33a73246d565bc9836f0e3c9f0782daf4ff3d5171b6cc5061c4330

Observation aea108ad-a5dd-492e-9f15-6b5740ba421a · outbound

This paper cites Gr\'ebert, T.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Gr\'ebert, T

Reference 39

Resolution
malformed identifier
doi_truncated, observed 2026-08-11T14:41:45.529100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.265459Z digest=sha256:a8b749e431846257e704ab2b4154b228279f10fe0537edd22e93ca8b4fa95d51

Observation 6f0b92f9-6787-463b-9d9b-94edcd92d571 · outbound

This paper cites Gr\'ebert, E.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Gr\'ebert, E

Reference 40

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.515212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.269794Z digest=sha256:ff8f1cba58ebed462420e8dd947ec97612ee47a7919ddf331a1074abd4e2dbf1

Observation a80ae2e7-9f89-45f1-b061-9aeb3ea3ed80 · outbound

This paper cites an unresolved cited work.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.274256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.274256Z digest=sha256:11c92b983420192745faad2dd8dbbf76f67b4709ba90672b594f921c8c319363

Observation ab672c8d-8b2e-45fe-ae0c-af9bb177a8de · outbound

This paper cites Kappeler, J.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Kappeler, J

Reference 42

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.492224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.278578Z digest=sha256:13771f6e7b0344e77cf97ad2c77562c0dd017b342e75edbcb74b5a2f6122cb45

Observation 97308391-5ce4-4d76-905e-3ab2efc1f025 · outbound

This paper cites Unconditional uniqueness of solutions for nonlinear dispersive equations.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unconditional uniqueness of solutions for nonlinear dispersive equations

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.282985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.282985Z digest=sha256:fb60ff9a7ab246f7f8b8480490c582a56e5ee07d0f7ca0bf1b669ce0eccb4f69

Observation cdd889e7-6d7a-409b-a4e0-4fe31c146739 · outbound

This paper cites Kappeler, B.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Kappeler, B

Reference 44

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.478242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.287706Z digest=sha256:b79fa11e8aa5cc46ae8aea6a4ee0ae4c6452a7cbf0f8afac576f8c25683acb0e

Observation c7cbce36-0392-43dd-9d29-66b538da0d97 · outbound

This paper cites Kuksin , Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum, Funktsional.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Kuksin , Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum, Funktsional

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.291795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.291795Z digest=sha256:58b5bb826eb90fc2f8d535e697475c6fdd73538ecae0d96ae9ebb9a0b3a0aad2

Observation 490fbccd-9e6b-402b-9d7b-ef80b0e68eb2 · outbound

This paper cites o schel , Invariant C antor manifolds of quasi-periodic oscillations for a nonlinear S chr \.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations o schel , Invariant C antor manifolds of quasi-periodic oscillations for a nonlinear S chr \

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.296026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.296026Z digest=sha256:21b0a4d5b6f5278437153beea435ce458e6e47b8e7cf6fc9a55eeb1a1bf2d5ce

Observation 2c46cfea-5341-4ed9-9fb0-470dde28fdd8 · outbound

This paper cites an unresolved cited work.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.300150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.300150Z digest=sha256:36a011416dffc02977e03cc4e3445026254b4c5e6da6c0aeca1fba8b639fa956

Observation d2918dcd-95d8-45a3-b3f4-78a3f174195f · outbound

This paper cites McConnell , Nonlinear smoothing for the periodic generalized nonlinear Schr\"odinger equation, J.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations McConnell , Nonlinear smoothing for the periodic generalized nonlinear Schr\"odinger equation, J

Reference 48

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.437427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.304589Z digest=sha256:9230541ebdfad66558ad4af2ddd26c51c490de4e750e328c28cef38c766ff592

Observation 598340b0-8c14-4fc1-89ae-d9334f92e1a2 · outbound

This paper cites P\"oschel , A KAM theorem for some nonlinear PDEs, Ann.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations P\"oschel , A KAM theorem for some nonlinear PDEs, Ann

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:41:46.098662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.309290Z digest=sha256:f5d3665088e789dd4c1f5f56f7a5852602a4266794fa5542dbf174ca5d85a2a8

Observation a95ae0dc-82f9-4d09-842b-86eb4e612d99 · outbound

This paper cites P\"oschel , Small divisors with spatial structure in infinite dimensional Hamiltonian systems, Comm.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations P\"oschel , Small divisors with spatial structure in infinite dimensional Hamiltonian systems, Comm

Reference 50

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.422747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.314291Z digest=sha256:474daadc0c15226f5c877d07e0240e5a34cb29d29fe4c9b54b2edff3cadbbece

Observation 1a724d09-0db3-41d8-b588-4f5d3f250f49 · outbound

This paper cites o schel , On the construction of almost-periodic solutions for a nonlinear Schr \.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations o schel , On the construction of almost-periodic solutions for a nonlinear Schr \

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-11T14:41:45.319027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T14:41:45.319027Z digest=sha256:81206cd5e6b28da4d302d8e5f1cf1bcb6e2c36294ba9658ea6517ebf98217fe4

Observation 386b739b-5b4f-4045-bc72-8e8cbd0ee120 · outbound

This paper cites Procesi, M.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Procesi, M

Reference 52

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.397902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.324312Z digest=sha256:41398ae22f59d7f9630a8c0bdfb1e657382e48ceb26fe40db84721ad9b759dbb

Observation aabae9db-a450-4426-b6b1-053cc850472f · outbound

This paper cites Safonov , The Abstract Cauchy-Kovalevskaya Theorem in a Weighted Banach Space, Comm.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Safonov , The Abstract Cauchy-Kovalevskaya Theorem in a Weighted Banach Space, Comm

Reference 53

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.383802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.328671Z digest=sha256:ebb664fff0b70b444b74c55b98e5d01e8d3489367fcc96f4acb43eb2aae019e6

Observation 6a14edb5-bd3b-4afe-986a-ad6b6b4b62f8 · outbound

This paper cites Wayne , Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory, Comm.

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations Wayne , Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory, Comm

Reference 54

Resolution
verified exact
doi, observed 2026-08-11T14:41:45.369629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-11T14:41:45.332971Z digest=sha256:6407cd0c108ebf9bcf88594e4fac1f0ef553485cc0b51a4d9898053602a3ffb9

Pith citing papers

Observation 0967815d-323c-49cd-b16a-c48e6f905f2c · inbound

Asymptotically full measure sets of almost-periodic solutions for the NLS equation cites this paper.

Asymptotically full measure sets of almost-periodic solutions for the NLS equation Infinite dimensional invariant tori for nonlinear Schr\"odinger equations

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T23:26:46.022710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:26:46.022710Z digest=sha256:7703b7de917d3fee4af562365ed49852eb3a706adea5ce725175aa769ad7182b

Observation 1820b89e-e1e3-4506-b65c-1b656b45ea27 · inbound

The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation cites this paper.

The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation Infinite dimensional invariant tori for nonlinear Schr\"odinger equations

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T22:49:27.058271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T22:49:27.058271Z digest=sha256:22f1a9ad12884bb66d42c98e78f603aa6eff674deb76a7493b0b314066a6c692

Observation 944ff3b3-2be3-45c4-bb37-8e2d90176623 · inbound

On almost periodic solutions to NLS without external parameters cites this paper.

On almost periodic solutions to NLS without external parameters Infinite dimensional invariant tori for nonlinear Schr\"odinger equations

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T21:27:17.760230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T21:27:17.760230Z digest=sha256:ebee7915db5e4441629845f7611d4cdc9fd26e40ad942e2eb09271d033236d04

Observation 04c987ff-9621-4bdb-9118-7cf8d4c7f0da · inbound

On the construction of almost periodic solutions for the derivative nonlinear Schr\"odinger equation cites this paper.

On the construction of almost periodic solutions for the derivative nonlinear Schr\"odinger equation Infinite dimensional invariant tori for nonlinear Schr\"odinger equations

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:01:12.587482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-05-08T07:21:54.159245Z digest=sha256:5b43efcbfcec45c8652a66dfc7e112492f1d341de45a6a56476318465d73e339