Paper Citation Record · LEDGER

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization

As of 17 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2606.06165.

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2606.06165 v2

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41 of 41 outbound references displayed

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Outbound references

Observation 4116b08c-2c3f-4b98-9382-efc66143277d · outbound

This paper cites Homogenization and two-scale convergence.SIAM Journal on Mathematical Analysis, 23(6):1482–1518, 1992.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Homogenization and two-scale convergence.SIAM Journal on Mathematical Analysis, 23(6):1482–1518, 1992

Reference 1

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Observation aa11ff7a-be0e-42e2-b563-0efe08e8546c · outbound

This paper cites Apers and S.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Apers and S

Reference 2

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Observation b5c287d5-4d0e-4fa5-ab4b-416ba229f5b0 · outbound

This paper cites Armstrong, Tuomo Kuusi, and Jean-Christophe Mourrat.Quantitative Stochastic Homogenization and Large-Scale Regularity, volume 352 ofGrundlehren der mathematischen Wissenschaften.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Armstrong, Tuomo Kuusi, and Jean-Christophe Mourrat.Quantitative Stochastic Homogenization and Large-Scale Regularity, volume 352 ofGrundlehren der mathematischen Wissenschaften

Reference 3

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Observation 75293c5b-75ff-4543-bc70-8408882ba827 · outbound

This paper cites Alarge-scaleregularitytheoryforrandom elliptic operators and homogenization.Annals of Probability, 44(2):1352–1424, 2016.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Alarge-scaleregularitytheoryforrandom elliptic operators and homogenization.Annals of Probability, 44(2):1352–1424, 2016

Reference 4

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Observation f696d508-6c6a-4f8a-b25f-6975f46693cd · outbound

This paper cites A quantum central path algorithm for linear optimization.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization A quantum central path algorithm for linear optimization

Reference 5

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T14:37:03.602760Z

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Observation 2967a923-3635-426a-af02-65626019c00c · outbound

This paper cites Homogenization of elliptic problems with l p boundary data.Applied Mathematics and Optimization, 15(1):93–107, 1987.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Homogenization of elliptic problems with l p boundary data.Applied Mathematics and Optimization, 15(1):93–107, 1987

Reference 6

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Observation 509cc3bc-7dbd-479a-9cd3-c7003bb23658 · outbound

This paper cites Quantum Enhanced Numerical Homogenization.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantum Enhanced Numerical Homogenization

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-08-12T02:24:11.225367Z

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Observation 940f37b1-cf57-4ffd-a79f-8e55f25dbc01 · outbound

This paper cites an unresolved cited work.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Unresolved cited work

Reference 8

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Observation 326d53bb-d4cc-4006-b511-97129cfc1220 · outbound

This paper cites North-Holland, Amsterdam, 1978.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization North-Holland, Amsterdam, 1978

Reference 9

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Observation 1cc480a1-2a6c-4e77-a0ab-e24cc2a64145 · outbound

This paper cites Berry, Andrew M.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Berry, Andrew M

Reference 10

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Observation f659dd43-6b43-4342-8989-d800496015ab · outbound

This paper cites Stochastic two-scale convergence in the mean and applications.Journal für die reine und angewandte Mathematik, 456:19–51, 1994.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Stochastic two-scale convergence in the mean and applications.Journal für die reine und angewandte Mathematik, 456:19–51, 1994

Reference 11

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Observation 63df5524-6f1c-48f0-b3c1-980b35242556 · outbound

This paper cites Oxford University Press, Ox- ford, 2002.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Oxford University Press, Ox- ford, 2002

Reference 12

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Observation 89b291b9-cd4f-47e6-af4c-586aa63a5db2 · outbound

This paper cites Numerical approximation of young mea- sures in non-convex variational problems.Numerische Mathematik, 84(3):395–415, 2000.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Numerical approximation of young mea- sures in non-convex variational problems.Numerische Mathematik, 84(3):395–415, 2000

Reference 13

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Observation f0f24b82-9495-4f3c-b8cb-adaebb7a8754 · outbound

This paper cites Oxford University Press, Oxford, 1999.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Oxford University Press, Oxford, 1999

Reference 14

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Observation eff0738d-41ea-4aba-a4a9-ec7d432c99fd · outbound

This paper cites Birkhäuser, Boston, 1993.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Birkhäuser, Boston, 1993

Reference 15

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Observation 612e8b4d-82bd-417e-b4dc-63c98cedb8a1 · outbound

This paper cites Birkhäuser, Boston, 1993.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Birkhäuser, Boston, 1993

Reference 16

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Observation 7a5c2570-e8ad-4574-bb06-697f355fc6c2 · outbound

This paper cites The heterognous multiscale methods.Communica- tions in Mathematical Sciences, 1(1):87–132, 2003.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization The heterognous multiscale methods.Communica- tions in Mathematical Sciences, 1(1):87–132, 2003

Reference 17

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Observation 0b5e33d4-2a19-4cee-beee-8799b7b5d138 · outbound

This paper cites Springer Science & Business Media, 2009.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Springer Science & Business Media, 2009

Reference 18

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Observation adb7e917-d626-4776-84fb-3a2979e5be46 · outbound

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Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Unresolved cited work

Reference 19

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Observation d01bfd98-a178-4ace-984a-71d013bd31a4 · outbound

This paper cites Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on glauber dynamics.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on glauber dynamics

Reference 20

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Observation 398073f1-ed8b-48d9-a009-2e83a61e1585 · outbound

This paper cites Quantitative stochastic homoge- nization and large-scale regularity.Annals of Probability, 44(5):2893–2955, 2016.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantitative stochastic homoge- nization and large-scale regularity.Annals of Probability, 44(5):2893–2955, 2016

Reference 21

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Observation 57915d2f-c7ac-48d8-a003-e10682ca24c2 · outbound

This paper cites An optimal variance estimate in stochastic homoge- nization of discrete elliptic equations.Annals of Probability, 39(3):779–856, 2011.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization An optimal variance estimate in stochastic homoge- nization of discrete elliptic equations.Annals of Probability, 39(3):779–856, 2011

Reference 22

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Observation e883ffd2-15b9-4b5c-a037-5cb7d26f8ed6 · outbound

This paper cites An optimal error estimate in stochastic homog- enization of discrete elliptic equations.Annals of Applied Probability, 22(1):1–28, 2012.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization An optimal error estimate in stochastic homog- enization of discrete elliptic equations.Annals of Applied Probability, 22(1):1–28, 2012

Reference 23

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Observation b422b94f-322e-4de3-a8c8-71de3a69dbb0 · outbound

This paper cites Quantitative results on the corrector equation in stochastic homogenization.Journal of the European Mathematical Society, 19(11):3489–3548, 2017.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantitative results on the corrector equation in stochastic homogenization.Journal of the European Mathematical Society, 19(11):3489–3548, 2017

Reference 24

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Observation 9e7c20ef-c9d9-4524-9391-3ca1510a9919 · outbound

This paper cites Quantum algorithm for linear systems of equations.Physical review letters, 103(15):150502, 2009.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantum algorithm for linear systems of equations.Physical review letters, 103(15):150502, 2009

Reference 25

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Observation eaa42d0d-b887-47d0-8fbb-be464297238e · outbound

This paper cites Stochastic two-scale convergence and Young measures.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Stochastic two-scale convergence and Young measures

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-02T14:37:03.592160Z

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Observation ded7628e-7a7f-45cd-a4ac-48dc4544b694 · outbound

This paper cites A multiscale finite element method for ellip- tic problems in composite materials and porous media.Journal of computational physics, 134(1):169–189, 1997.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization A multiscale finite element method for ellip- tic problems in composite materials and porous media.Journal of computational physics, 134(1):169–189, 1997

Reference 27

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Observation 5c47bbb2-c029-4275-b165-f5dd41ed695d · outbound

This paper cites Quantum algorithms for multiscale partial differential equations.Multiscale Modeling & Simulation, 22(3):1030–1067, 2024.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantum algorithms for multiscale partial differential equations.Multiscale Modeling & Simulation, 22(3):1030–1067, 2024

Reference 28

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Observation c788d798-8aa9-47f9-a713-dc987559ac20 · outbound

This paper cites an unresolved cited work.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Unresolved cited work

Reference 29

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Observation 9ab5bcd5-370a-41ee-8608-2ac279f9dac2 · outbound

This paper cites Quantum algo- rithms for young measures–applications to nonlinear partial differential equations.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantum algo- rithms for young measures–applications to nonlinear partial differential equations

Reference 30

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Observation f2cec7b7-7220-4708-9d8e-2152ccfc96ff · outbound

This paper cites Quantum simulation of partial differential equations: Applications and detailed analysis.Physical Review A, 108:032603, 2023.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantum simulation of partial differential equations: Applications and detailed analysis.Physical Review A, 108:032603, 2023

Reference 31

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Observation 89e332f9-fb0e-4511-8d88-d6d8a8438b15 · outbound

This paper cites Quantum simulation of partial differential equations via schrödingerization.Physical Review Letters, 133:230602, 2024.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Quantum simulation of partial differential equations via schrödingerization.Physical Review Letters, 133:230602, 2024

Reference 32

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Observation 2408cb32-6e90-47f1-886a-18dd65b7a3c7 · outbound

This paper cites Approximating young measures with deep neural networks.arXiv preprint arXiv:2511.00233, 2025.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Approximating young measures with deep neural networks.arXiv preprint arXiv:2511.00233, 2025

Reference 33

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Observation d69b2f9a-8a25-4e98-97bf-fed885c2d2e1 · outbound

This paper cites Convergence rates in l 2 for elliptic homogenization problems.Archive for Rational Mechanics and Analysis, 203(3):1009–1036, 2012.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Convergence rates in l 2 for elliptic homogenization problems.Archive for Rational Mechanics and Analysis, 203(3):1009–1036, 2012

Reference 34

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Observation ac8e9612-27fc-4cbb-95ee-f1ccbf76f0c0 · outbound

This paper cites A quantum interior point method for lps and sdps.ACM Transactions on Quantum Computing, 1:1–32, 2020.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization A quantum interior point method for lps and sdps.ACM Transactions on Quantum Computing, 1:1–32, 2020

Reference 35

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Observation 638ccead-2ed6-425d-a4e6-20d9972693dc · outbound

This paper cites Theaveragingofrandomoperators.Mathematics of the USSR-Sbornik, 37(2):167–180, 1980.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Theaveragingofrandomoperators.Mathematics of the USSR-Sbornik, 37(2):167–180, 1980

Reference 36

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Observation 077c57da-7344-41bb-bee2-1629a3247971 · outbound

This paper cites Papanicolaou and S.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Papanicolaou and S

Reference 37

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Observation 7cbfa951-23b8-4ca8-b9fd-d61ac6c2abec · outbound

This paper cites Papanicolaou and S.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Papanicolaou and S

Reference 38

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Observation 67de7dfe-fb47-4b1a-a4a1-caac49d57e9d · outbound

This paper cites Birkhäuser, Basel, 1997.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Birkhäuser, Basel, 1997

Reference 39

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Observation 496a5873-c2ff-4d2d-8fd6-fac78d72c374 · outbound

This paper cites Young.Lectures on the Calculus of Variations and Optimal Control Theory.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Young.Lectures on the Calculus of Variations and Optimal Control Theory

Reference 40

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Observation 4ea9ccef-8cfb-4705-9e4c-4bd4648101ef · outbound

This paper cites Homogenization of ran- dom singular structures and random measures.Izvestiya: Mathematics, 70(1):19–67, 2006.

Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization Homogenization of ran- dom singular structures and random measures.Izvestiya: Mathematics, 70(1):19–67, 2006

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