Paper Citation Record · LEDGER

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions

As of 20 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.23041.

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2607.23041 v1

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Observation 0366bd8b-38db-4cbf-9189-346df1b6a0f2 · outbound

This paper cites Periodic nonlinear schr¨ odinger equation and invariant measures.Communications in Mathematical Physics, 166(1):1–26, 1994.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Periodic nonlinear schr¨ odinger equation and invariant measures.Communications in Mathematical Physics, 166(1):1–26, 1994

Reference 1

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Observation f5c423b1-f613-42e5-8bc1-535dc45cdb27 · outbound

This paper cites Invariant measures for the 2d-defocusing nonlinear schr¨ odinger equation.Commu- nications in mathematical physics, 176(2):421–445, 1996.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Invariant measures for the 2d-defocusing nonlinear schr¨ odinger equation.Commu- nications in mathematical physics, 176(2):421–445, 1996

Reference 2

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Observation 295c6c05-5c33-4fc6-b9a2-b48e5a29eedd · outbound

This paper cites Invariant measures for the gross-piatevskii equation.Journal de math´ ematiques pures et appliqu´ ees, 76(8):649–702, 1997.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Invariant measures for the gross-piatevskii equation.Journal de math´ ematiques pures et appliqu´ ees, 76(8):649–702, 1997

Reference 3

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Observation 264cb464-6c5e-4469-ac1f-e8c9573fea24 · outbound

This paper cites Invariant measures for nls in infinite volume.Communications in mathematical physics, 210(3):605–620, 2000.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Invariant measures for nls in infinite volume.Communications in mathematical physics, 210(3):605–620, 2000

Reference 4

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Observation e37ce984-5f8f-4d79-9ca6-a1dc5cc3c5b5 · outbound

This paper cites Almost sure global well posedness for the radial nonlinear schr¨ odinger equation on the unit ball i: the 2d case.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Almost sure global well posedness for the radial nonlinear schr¨ odinger equation on the unit ball i: the 2d case

Reference 5

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Observation e60221b2-ec28-4c24-9e27-a535141c4690 · outbound

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Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Unresolved cited work

Reference 6

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Observation 4103b28b-b796-47bc-b794-ab34d2c7e6bc · outbound

This paper cites Invariant gibbs measures for the three dimensional cubic nonlinear wave equation.Inventiones mathematicae, 236(3):1133–1411, 2024.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Invariant gibbs measures for the three dimensional cubic nonlinear wave equation.Inventiones mathematicae, 236(3):1133–1411, 2024

Reference 7

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Observation b6924239-9d66-4956-88b4-d383b57ef88d · outbound

This paper cites Random data cauchy theory for supercritical wave equations i: local theory.Inventiones mathematicae, 173(3):449–475, 2008.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Random data cauchy theory for supercritical wave equations i: local theory.Inventiones mathematicae, 173(3):449–475, 2008

Reference 8

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Observation dfff2daf-4be5-48e2-9859-ec1e67345808 · outbound

This paper cites Random data cauchy theory for supercritical wave equations ii: A global existence result.Inventiones mathematicae, 173(3):477–496, 2008.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Random data cauchy theory for supercritical wave equations ii: A global existence result.Inventiones mathematicae, 173(3):477–496, 2008

Reference 9

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Observation 2dea93bb-2662-467e-9eb9-4c8a0b74ace3 · outbound

This paper cites The euclidean Φ 4 2 theory as a limit of an inhomogeneous bose gas.arXiv preprint arXiv:2603.12241, 2026.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions The euclidean Φ 4 2 theory as a limit of an inhomogeneous bose gas.arXiv preprint arXiv:2603.12241, 2026

Reference 10

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Observation ec4cd2e1-9313-4b84-86e1-57fa2d35bced · outbound

This paper cites Two-dimensional nonlinear schr¨ odinger equation with random radial data.Analysis & PDE, 5(5):913–960, 2012.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Two-dimensional nonlinear schr¨ odinger equation with random radial data.Analysis & PDE, 5(5):913–960, 2012

Reference 11

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Observation d6527b12-22d6-4886-a514-78c4e4ca25ac · outbound

This paper cites Invariant gibbs measures and global strong solutions for nonlinear schr¨ odinger equations in dimension two.Annals of Mathematics, 200(2):399–486, 2024.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Invariant gibbs measures and global strong solutions for nonlinear schr¨ odinger equations in dimension two.Annals of Mathematics, 200(2):399–486, 2024

Reference 12

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Observation 6fb2213f-235f-42bd-8919-7adba702d64d · outbound

This paper cites Invariant gibbs measure and global strong solutions for the hartree nls equation in dimension three.Journal of Mathematical Physics, 62(3), 2021.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Invariant gibbs measure and global strong solutions for the hartree nls equation in dimension three.Journal of Mathematical Physics, 62(3), 2021

Reference 13

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Observation d5e43221-a083-4bb2-bfec-a49016048085 · outbound

This paper cites A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions A perturbative microscopic derivation of the focusing $\Phi^6_1$ measure with rough cut-off

Reference 14

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Observation eb2f701a-457f-4d42-9721-af3c144d50df · outbound

This paper cites Gibbs measures of nonlinear schr¨ odinger equations as limits of many-body quantum states in dimensions d⩽3.Communications in Mathematical Physics, 356(3):883–980, 2017.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Gibbs measures of nonlinear schr¨ odinger equations as limits of many-body quantum states in dimensions d⩽3.Communications in Mathematical Physics, 356(3):883–980, 2017

Reference 15

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Observation b327dbd8-e0f6-4631-80e4-53c64d3f98ab · outbound

This paper cites A microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schr¨ odinger equation.Advances in Mathematics, 353:67–115, 2019.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions A microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schr¨ odinger equation.Advances in Mathematics, 353:67–115, 2019

Reference 16

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Observation 7a76dd15-3f15-419c-8406-ebf305bd40d8 · outbound

This paper cites A path-integral analysis of interacting Bose gases and loop gases.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions A path-integral analysis of interacting Bose gases and loop gases

Reference 17

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Observation 6ee82f63-0411-4fcc-9e5f-294818b8567d · outbound

This paper cites The mean-field limit of quan- tum bose gases at positive temperature.Journal of the American Mathematical Society, 35(4):955– 1030, 2022.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions The mean-field limit of quan- tum bose gases at positive temperature.Journal of the American Mathematical Society, 35(4):955– 1030, 2022

Reference 18

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Observation d9da2461-c73b-4d42-b108-dc2ed8d50113 · outbound

This paper cites Interacting loop ensembles and bose gases.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Interacting loop ensembles and bose gases

Reference 19

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Observation 9d0a7245-0a4e-41f6-8ae9-dc100238e41b · outbound

This paper cites The euclideanφ4 2 theory as a limit of an interacting bose gas.Journal of the European Mathematical Society, 27(11):4399–4468, 2025.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions The euclideanφ4 2 theory as a limit of an interacting bose gas.Journal of the European Mathematical Society, 27(11):4399–4468, 2025

Reference 20

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Observation a2abdea7-a026-486d-83fd-0705d00fd9f2 · outbound

This paper cites The large-mass limit of interacting quantum gases in the continuum.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions The large-mass limit of interacting quantum gases in the continuum

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Observation 57118ba8-07d3-40fa-9638-916dbdad78f3 · outbound

This paper cites Reduced density matrices of quantum gases.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Reduced density matrices of quantum gases

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Observation 7bb8f176-ae9f-49be-a485-cdf3b309a343 · outbound

This paper cites Reduced density matrices of quantum gases.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Reduced density matrices of quantum gases

Reference 23

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Observation 9ca421a3-fec4-4d2a-bf50-ebbca1c076b8 · outbound

This paper cites Reduced density matrices of quantum gases.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Reduced density matrices of quantum gases

Reference 24

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Observation 9005e2c4-381e-4ab3-8a87-4c96b222c1c4 · outbound

This paper cites Some applications of functional integration in statistical mechanics.Statistical me- chanics and quantum field theory, 327, 1971.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Some applications of functional integration in statistical mechanics.Statistical me- chanics and quantum field theory, 327, 1971

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Observation a4064b39-1636-4619-a55d-81e785c7029f · outbound

This paper cites TheP(Φ) 2 euclidean quantum field theory as classical statistical mechanics.Annals of Mathematics, 101(1):111–189, 1975.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions TheP(Φ) 2 euclidean quantum field theory as classical statistical mechanics.Annals of Mathematics, 101(1):111–189, 1975

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Observation 9c0092e1-e766-4e9a-b838-7162a7827f13 · outbound

This paper cites Φ 4 2 theory limit of a many-body bosonic free energy.Journal of Mathematical Physics, 67(6):061902, 2026.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Φ 4 2 theory limit of a many-body bosonic free energy.Journal of Mathematical Physics, 67(6):061902, 2026

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Observation c3d94e69-69d7-41f4-890f-40f586a4c7ee · outbound

This paper cites Derivation of nonlinear gibbs measures from many-body quantum mechanics.Journal de l’ ´Ecole polytechnique—Math´ ematiques, 2:65–115, 2015.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Derivation of nonlinear gibbs measures from many-body quantum mechanics.Journal de l’ ´Ecole polytechnique—Math´ ematiques, 2:65–115, 2015

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Observation 36dd38bc-1e6a-4808-8080-f656322792fc · outbound

This paper cites Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits.Journal of Mathematical Physics, 59(4):041901, 2018.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits.Journal of Mathematical Physics, 59(4):041901, 2018

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Observation b0c56b42-3a75-49c8-80a2-bc485f37ef20 · outbound

This paper cites Classical field theory limit of many-body quantum gibbs states in 2d and 3d.Inventiones Mathematicae, 224(2), 2021.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Classical field theory limit of many-body quantum gibbs states in 2d and 3d.Inventiones Mathematicae, 224(2), 2021

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Observation 0f7f59a6-4f7c-4e1a-9802-0758c6c4a0ae · outbound

This paper cites Completely positive maps and entropy inequalities.Communications in Mathe- matical Physics, 40(2):147–151, 1975.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Completely positive maps and entropy inequalities.Communications in Mathe- matical Physics, 40(2):147–151, 1975

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Observation 4448ea7d-0ede-4218-82e8-cd64ce1c6681 · outbound

This paper cites Derivation of the focusing $\Phi^6_1$ measure in the optimal mass regime from many-body quantum Gibbs states.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Derivation of the focusing $\Phi^6_1$ measure in the optimal mass regime from many-body quantum Gibbs states

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Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Unresolved cited work

Reference 33

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Observation f47ae191-78ab-4d35-8f3a-898327f26ca4 · outbound

This paper cites $\Phi^4_3$ Theory from many-body quantum Gibbs states.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions $\Phi^4_3$ Theory from many-body quantum Gibbs states

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Observation 9f616281-b57f-4490-8488-2c7d28098a59 · outbound

This paper cites Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions

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Observation 9da6278e-fdd1-4221-b1da-bf1d4f06d7a9 · outbound

This paper cites Construction of quantum fields from markoff fields.Journal of Functional Analysis, 12(1):97–112, 1973.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Construction of quantum fields from markoff fields.Journal of Functional Analysis, 12(1):97–112, 1973

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Observation 738816a4-31a5-4d4e-a4cf-279c4be62bcc · outbound

This paper cites Probability theory and euclidean field theory.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Probability theory and euclidean field theory

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Observation 6c43e01a-bf49-484f-9809-fcc6fa087c66 · outbound

This paper cites Springer Science & Business Media, 2004.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Springer Science & Business Media, 2004

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Observation 81a578d0-31a7-432d-99b8-172ca0bb147c · outbound

This paper cites InP(Φ) 2 Euclidean (Quantum) Field Theory.

Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions InP(Φ) 2 Euclidean (Quantum) Field Theory

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Nonlocal Cubic Density Gibbs Measures from Bosonic Gibbs States with Three-Body Interactions Unresolved cited work

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