Paper Citation Record · LEDGER

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential

As of 8 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.11608.

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

pith.paper-citation-record.v1
2607.11608 v1

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T04:26:56.682621Z

measured 45 of 45 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation f1cd5cc8-ea41-4a3f-bd98-d8c53e51508b · outbound

This paper cites Barashkov, M.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Barashkov, M

Reference 1

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Observation 601fc8f0-e194-4a7c-9513-8dab773ba3cb · outbound

This paper cites Barashkov, M.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Barashkov, M

Reference 2

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Observation e91e0c55-2459-4534-8db0-1d92283faa64 · outbound

This paper cites Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane

Reference 3

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Observation 4017b355-8715-40ad-ab88-2bb4546215b7 · outbound

This paper cites Bellazzini, R.L.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Bellazzini, R.L

Reference 4

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Observation 8c73f5b7-b5e1-4dc0-a748-e1a1f83e8e49 · outbound

This paper cites Blakie, A.S.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Blakie, A.S

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation c5e99dae-ec80-481f-abc9-59237ac08ecd · outbound

This paper cites Bogachev,Gaussian measures, Mathematical Surveys and Monographs, 62.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Bogachev,Gaussian measures, Mathematical Surveys and Monographs, 62

Reference 6

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Observation 2c1c4584-9abe-4b2a-bc1e-fb2e233cedb6 · outbound

This paper cites Boyd,Asymptotic coefficients of hermite function series, J.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Boyd,Asymptotic coefficients of hermite function series, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation 7645be5b-054b-43ed-9405-a8f7984de3e0 · outbound

This paper cites Bou´ e, P.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Bou´ e, P

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation c92627e5-9f71-4a45-a50e-195f205ca57f · outbound

This paper cites Bourgain, A.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Bourgain, A

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation de694267-d9d8-4578-baa8-5006a72c78d6 · outbound

This paper cites Bourgain,Periodic nonlinear Schr¨ odinger equation and invariant measures, Comm.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Bourgain,Periodic nonlinear Schr¨ odinger equation and invariant measures, Comm

Reference 10

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Observation 3a9ea852-8396-40a7-820f-62c6d7e9b7be · outbound

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

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Bourgain,Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation, Comm

Reference 11

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Observation 2dcd3c1d-79c4-481c-af5a-3c7a6a706b83 · outbound

This paper cites Bourgain,Invariant measures for the Gross-Piatevskii equation,J.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Bourgain,Invariant measures for the Gross-Piatevskii equation,J

Reference 12

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Observation c968aa62-17f0-4e8b-b5fd-e533231af936 · outbound

This paper cites Brydges, G.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Brydges, G

Reference 13

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Observation fa3b12d6-b08f-4c32-b6d9-0b41e0618635 · outbound

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Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Unresolved cited work

Reference 14

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Observation 6503c11c-6425-486e-a499-08af979e0e38 · outbound

This paper cites Carlen, J.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Carlen, J

Reference 15

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Observation 99aaf8f7-e754-45c7-a2ff-3a8dd3c06750 · outbound

This paper cites Carlitz,The relationship of the Hermite to the Laguerre polynomials, Boll.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Carlitz,The relationship of the Hermite to the Laguerre polynomials, Boll

Reference 16

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Observation 43ddb2b5-62fe-4933-8bc5-7edf1850c38d · outbound

This paper cites Deng,Two-dimensional nonlinear Schr¨ odinger equation with random radial data, Anal.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Deng,Two-dimensional nonlinear Schr¨ odinger equation with random radial data, Anal

Reference 17

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Observation bc9d8e6a-3e67-4dd3-a41d-88ee70791996 · outbound

This paper cites an unresolved cited work.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Unresolved cited work

Reference 18

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Observation dd96791e-e60b-4a45-babe-e1d093ad44ef · outbound

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Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Unresolved cited work

Reference 19

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Observation b1829c6e-a802-48a4-a702-c8fc3f3e54d2 · outbound

This paper cites Duine, H.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Duine, H

Reference 20

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Observation 0b90db45-736a-4cf4-877a-ff77b5b096b9 · outbound

This paper cites Forlano, T.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Forlano, T

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation 68bc0445-43af-45c0-933b-4928b948fad4 · outbound

This paper cites Frank, E.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Frank, E

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation 5d98b940-b842-405c-86d0-74d917fa8599 · outbound

This paper cites Greco, T.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Greco, T

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation 864cc97f-cd2b-4aab-ba7d-f2e0e36a7890 · outbound

This paper cites Optimal divergence rate of the focusing Gibbs measures.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Optimal divergence rate of the focusing Gibbs measures

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation a33b953f-c2f3-4d3e-a3f8-5c0d677773ae · outbound

This paper cites Gubinelli and M.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Gubinelli and M

Reference 25

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Observation 3ce42f0e-e07c-4925-8566-3bd4bddd9c09 · outbound

This paper cites Hardy, J.E.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Hardy, J.E

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation a017671a-1795-4abe-b2dd-0add59c68bfa · outbound

This paper cites Imekraz, D.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Imekraz, D

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation baef8aca-be24-4cbf-9c64-34342cd950d7 · outbound

This paper cites Koornwinder,The Addition Formula for Laguerre Polynomials, SIAM J.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Koornwinder,The Addition Formula for Laguerre Polynomials, SIAM J

Reference 28

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Observation 0b1c87b7-6f19-49cf-9ec5-5f16c525a4e3 · outbound

This paper cites Liang, Y.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Liang, Y

Reference 29

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Observation d786c02f-9397-48da-a022-e5b5d3fc1f9e · outbound

This paper cites Lebowitz, P.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Lebowitz, P

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation ad897ff5-432d-4ffd-8445-0bc3bc73e7fd · outbound

This paper cites Lebowitz, H.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Lebowitz, H

Reference 31

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Observation a73c66fd-9e35-4cae-bd8c-998ea2b01fb8 · outbound

This paper cites Nagy, ¨Uber Integralgleichungen zwischen einer Funktion und ihrer Ableitung,Acta Univ.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Nagy, ¨Uber Integralgleichungen zwischen einer Funktion und ihrer Ableitung,Acta Univ

Reference 32

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Observation 4a0c73cc-6455-4410-af63-00b7531ff4ed · outbound

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Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Unresolved cited work

Reference 33

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Observation 2dbc9e39-11ea-4661-adc1-8189e227bc58 · outbound

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Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Unresolved cited work

Reference 34

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Observation 9fe65c08-5083-4607-b779-cfef12d2e52a · outbound

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Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation c5cc9b7d-59a2-4059-9690-c9e40ff2639b · outbound

This paper cites an unresolved cited work.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation ae37c650-2bc5-4be5-abb2-974d965dd8ad · outbound

This paper cites an unresolved cited work.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation 8348664e-9497-4c26-ab85-dd43fc82fad0 · outbound

This paper cites Robert, K.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Robert, K

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation ef754dca-3f5d-4d5f-b891-cbea6e7fc649 · outbound

This paper cites Simon,TheP(φ) 2 Euclidean (quantum) field theory,Princeton Series in Physics.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Simon,TheP(φ) 2 Euclidean (quantum) field theory,Princeton Series in Physics

Reference 39

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Observation 5dc45c1b-8814-44fa-95ae-b8ddc1767a2b · outbound

This paper cites Tolomeo, H.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Tolomeo, H

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation 0a2e1c61-b4a6-4f1e-91e3-83210e38d76b · outbound

This paper cites Tzvetkov,Invariant measures for the nonlinear Schr¨ odinger equation on the disc, Dyn.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Tzvetkov,Invariant measures for the nonlinear Schr¨ odinger equation on the disc, Dyn

Reference 41

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Observation 17e5b3c7-c571-45a7-803e-936a75d8acef · outbound

This paper cites Tzvetkov,Invariant measures for the defocusing nonlinear Schr¨ odinger equation, Ann.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Tzvetkov,Invariant measures for the defocusing nonlinear Schr¨ odinger equation, Ann

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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Observation c1a79c00-b089-4850-8c60-171315a77f56 · outbound

This paper cites ¨Ust¨ unel,Variational calculation of Laplace transforms via entropy on Wiener space and applications, J.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential ¨Ust¨ unel,Variational calculation of Laplace transforms via entropy on Wiener space and applications, J

Reference 43

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Observation 5bcad4f0-83dd-45dd-bc49-146911417009 · outbound

This paper cites Weinstein,Nonlinear Schr ¨dinger equations and sharp interpolation estimates, Comm.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Weinstein,Nonlinear Schr ¨dinger equations and sharp interpolation estimates, Comm

Reference 44

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Observation 476b9c9f-ee88-43bb-95e5-b7e2f8641c44 · outbound

This paper cites Zhang,A variational representation for random functionals on abstract Wiener spaces, J.

Phase transition for weakly interacting focusing Gibbs measures with harmonic potential Zhang,A variational representation for random functionals on abstract Wiener spaces, J

Reference 45

Resolution: unresolved; no resolver link, observed 2026-07-14T04:26:56.682621Z

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