Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications | Paper Citation Record

Observation cefa9eec-4be2-4df4-befc-ac3e0260b871 · outbound

This paper cites Optimal execution of portfolio transactions.Journal of Risk, 3:5–40, 2001.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Optimal execution of portfolio transactions.Journal of Risk, 3:5–40, 2001

Reference 1

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This paper cites Contracting a crowd of heterogeneous agents.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Contracting a crowd of heterogeneous agents

Reference 2

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This paper cites Stochastic graphon games: Ii.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Stochastic graphon games: Ii

Reference 3

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This paper cites A weak martingale approach to linear-quadratic mckean–vlasov stochastic control problems.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications A weak martingale approach to linear-quadratic mckean–vlasov stochastic control problems

Reference 4

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This paper cites Graphon mean field systems.The Annals of Applied Probability, 33(5):3587–3619, 2023.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Graphon mean field systems.The Annals of Applied Probability, 33(5):3587–3619, 2023

Reference 5

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Observation 81a2546f-5a4d-4b7c-9d54-538b53881e69 · outbound

This paper cites Graphon particle systems with common noise.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Graphon particle systems with common noise

Reference 6

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This paper cites Concentration of measure for graphon particle system.Advances in Applied Probability, 56(4):1279–1306, 2024.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Concentration of measure for graphon particle system.Advances in Applied Probability, 56(4):1279–1306, 2024

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This paper cites Stationarity and uniform in time convergence for the graphon particle system.Stochastic Processes and their Applications, 150:532–568, 2022.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Stationarity and uniform in time convergence for the graphon particle system.Stochastic Processes and their Applications, 150:532–568, 2022

Reference 8

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This paper cites Graphon particle system: Uniform-in-time concentration bounds.Stochastic Processes and their Applications, 156:196–225, 2023.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Graphon particle system: Uniform-in-time concentration bounds.Stochastic Processes and their Applications, 156:196–225, 2023

Reference 9

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This paper cites Propagation of chaos of forward–backward stochastic differential equations with graphon interactions.Applied Mathematics & Optimization, 88(1):25, 2023.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Propagation of chaos of forward–backward stochastic differential equations with graphon interactions.Applied Mathematics & Optimization, 88(1):25, 2023

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This paper cites Non-parametric estimates for graphon mean-field particle systems.Bernoulli, 31(4):2940– 2961, 2025.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Non-parametric estimates for graphon mean-field particle systems.Bernoulli, 31(4):2940– 2961, 2025

Reference 11

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This paper cites Springer, 2013.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Springer, 2013

Reference 12

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This paper cites Springer, 2011.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Springer, 2011

Reference 13

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This paper cites Path-dependent controlled mean-field coupled forward-backward sdes: The associated stochastic maximum principle.SIAM Journal on Control and Optimization, 63(3):2124–2153, 2025.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Path-dependent controlled mean-field coupled forward-backward sdes: The associated stochastic maximum principle.SIAM Journal on Control and Optimization, 63(3):2124–2153, 2025

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Observation 30e3c2a9-d2a2-4582-a375-89879e0b2f02 · outbound

This paper cites Graphon mean field games and their equations.SIAM Journal on Control and Optimization, 59(6):4373–4399, 2021.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Graphon mean field games and their equations.SIAM Journal on Control and Optimization, 59(6):4373–4399, 2021

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This paper cites Probabilistic analysis of graphon mean field control.arXiv preprint arXiv:2505.19664, 2025.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Probabilistic analysis of graphon mean field control.arXiv preprint arXiv:2505.19664, 2025

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This paper cites Springer, Cham, 2018.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Springer, Cham, 2018

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This paper cites Springer, Cham, 2018.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Springer, Cham, 2018

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This paper cites Mean fieldgamesandsystemicrisk.Communications in Mathematical Sciences, 13(4):911–933, 2015.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean fieldgamesandsystemicrisk.Communications in Mathematical Sciences, 13(4):911–933, 2015

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This paper cites Dissipative backward stochastic differential equations with locally lipschitz nonlinearity.Stochastic Processes and their Applications, 117(5):613–628, 2007.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Dissipative backward stochastic differential equations with locally lipschitz nonlinearity.Stochastic Processes and their Applications, 117(5):613–628, 2007

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This paper cites Nonlinear graphon mean-field systems.Stochastic Processes and their Applications, page 104728, 2025.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Nonlinear graphon mean-field systems.Stochastic Processes and their Applications, page 104728, 2025

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This paper cites Optimal control of path-dependent mckean–vlasov sdes in infinite dimension.Annals of Applied Probability, 33(4):2863–2918, 2023.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Optimal control of path-dependent mckean–vlasov sdes in infinite dimension.Annals of Applied Probability, 33(4):2863–2918, 2023

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This paper cites Mean field optimal stopping with uncontrolled state.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean field optimal stopping with uncontrolled state

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This paper cites Linear-quadratic optimal control for non-exchangeable mean-field sdes and applications to systemic risk.arXiv preprint arXiv:2503.03318, 2025.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Linear-quadratic optimal control for non-exchangeable mean-field sdes and applications to systemic risk.arXiv preprint arXiv:2503.03318, 2025

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This paper cites Mean-field control of non exchangeable systems.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean-field control of non exchangeable systems

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This paper cites Sensitivity of functionals of McKean-Vlasov SDE's with respect to the initial distribution.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Sensitivity of functionals of McKean-Vlasov SDE's with respect to the initial distribution

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This paper cites Stochastic optimal control of interacting particle systems in hilbert spaces and applications.arXiv preprint, 2025.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Stochastic optimal control of interacting particle systems in hilbert spaces and applications.arXiv preprint, 2025

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This paper cites Optimal portfolio choice with path dependent benchmarked labor income: a mean field model.Stochastic Processes and their Applications, 145:48–85, 2022.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Optimal portfolio choice with path dependent benchmarked labor income: a mean field model.Stochastic Processes and their Applications, 145:48–85, 2022

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications A non–exchangeable mean field control problem with controlled interactions.arXiv preprint arXiv:2511.00288, 2025

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean field game of mutual holding with defaultable agents, and systemic risk.SIAM Journal on Control and Optimization, 62(2):1234–1278, 2024

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This paper cites Mean field game of mutual holding.The Annals of Applied Probability, 34(6):4999–5031, 2024.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean field game of mutual holding.The Annals of Applied Probability, 34(6):4999–5031, 2024

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Stochastic control for mean-field stochastic partial differential equations with jumps.Journal of Optimization Theory and Applications, 176(3):559–584, 2018

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This paper cites Springer, 2017.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Springer, 2017

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This paper cites Linear-quadratic mean field games in hilbert spaces.SIAM Journal on Mathematical Analysis, 57(6):5821–5853, 2025.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Linear-quadratic mean field games in hilbert spaces.SIAM Journal on Mathematical Analysis, 57(6):5821–5853, 2025

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications On mean field games in infinite dimension.Journal de Mathématiques Pures et Appliquées, page 103780, 2025

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications A unified approach to linear-quadratic-gaussian mean-field team: homogeneity, heterogeneity and quasi-exchangeability.The Annals of Applied Probability, 33(4):2786–2823, 2023

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Simultaneously solving infinitely many lq mean field games in hilbert spaces: The power of neural operators.arXiv preprint arXiv:2510.20017, 2025

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This paper cites Hilbert space-valued lq mean field games: An infinite-dimensional analysis.SIAM Journal on Control and Optimization, 63(5):3297–3327, 2025.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Hilbert space-valued lq mean field games: An infinite-dimensional analysis.SIAM Journal on Control and Optimization, 63(5):3297–3327, 2025

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean field game with delay: A toy model.Risks, 6(3):1–19, 2018

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Actor–critic learning for mean-field control in continuous time.Journal of Machine Learning Research, 26:1–42, 2025

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This paper cites An optimal advertising model with carryover effect and mean field terms.Mathematics and Financial Economics, 18(2–3):413–427, 2024.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications An optimal advertising model with carryover effect and mean field terms.Mathematics and Financial Economics, 18(2–3):413–427, 2024

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications On the backward stochastic riccati equation in infinite dimensions.SIAM Journal on Control and Optimization, 44(1):159–194, 2005

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications A linear–quadratic optimal control problem for mean-field stochastic differential equations in infinite horizon.Mathematical Control and Related Fields, 5(1):97–139, 2015

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean-field limit of non-exchangeable systems.Communications on Pure and Applied Mathematics, 78(4):651–741, 2025

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This paper cites Stochastic maximum principle for optimal control problem of non exchangeable mean field systems.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Stochastic maximum principle for optimal control problem of non exchangeable mean field systems

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications A label-state formulation of stochastic graphon games and approximate equilibria on large networks.Mathematics of Operations Research, 48(4):1987–2018, 2023

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean field games.Japanese Journal of Mathematics, 2(1):229–260, 2007

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications An overview of some extensions of mean field games beyond perfect homogeneity and anonymity.arXiv preprint arXiv:2511.04929, 2025

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This paper cites American Mathematical Society, 2010.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications American Mathematical Society, 2010

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Analysis of non-exchangeable mean field markov decision processes with common noise: From bellman equation to quantitative propagation of chaos, 2025

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Observation 590719d4-42de-4ec5-8f48-5e7581fb2eb5 · outbound

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Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Stochastic Graphon Games with Memory

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This paper cites Linearquadraticoptimalcontrolofconditionalmckean–vlasovequationwithrandomcoefficientsandapplications.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Linearquadraticoptimalcontrolofconditionalmckean–vlasovequationwithrandomcoefficientsandapplications

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Resolution: unresolved; no resolver link, observed 2026-08-03T20:49:33.485615Z

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Observation 89a7b507-3e25-4cfe-912a-5f68f83552ca · outbound

This paper cites Dynamic programming for optimal control of stochastic mckean–vlasov dynamics.SIAM Journal on Control and Optimization, 55(2):1069–1101, 2017.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Dynamic programming for optimal control of stochastic mckean–vlasov dynamics.SIAM Journal on Control and Optimization, 55(2):1069–1101, 2017

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Observation d786df23-f13c-4307-9da2-514a4fb90247 · outbound

This paper cites Entropic optimal planning for path-dependent mean field games.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Entropic optimal planning for path-dependent mean field games

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Resolution: unresolved; no resolver link, observed 2026-08-03T20:49:33.621129Z

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Observation 706bb459-90ac-49cd-815c-c9a37ba5e5a1 · outbound

This paper cites Mean field games incorporating carryover effects: Optimizing advertising models.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean field games incorporating carryover effects: Optimizing advertising models

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Observation 8d876e71-1b1e-4f83-a4b3-0442842978ef · outbound

This paper cites an unresolved cited work.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Unresolved cited work

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Observation 1bfe1873-9574-4805-93ce-fbd50558d46f · outbound

This paper cites Mean-field backward stochastic volterra integral equations.Discrete and Continuous Dynamical Systems Series B, 18(7):1929–1967, 2013.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean-field backward stochastic volterra integral equations.Discrete and Continuous Dynamical Systems Series B, 18(7):1929–1967, 2013

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Observation 6e60b2ba-1401-48af-a2be-a8bf0c020f57 · outbound

This paper cites Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Pontryagin Maximum Principle for McKean-Vlasov Stochastic Reaction-Diffusion Equations

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Observation 560c8ca6-27f0-435e-93ed-7ace7d57ebf8 · outbound

This paper cites Mean-field stochastic linear quadratic optimal control problems: Open-loop solvabilities.ESAIM: Control, Optimization and Calculus of Variations, 23(3):1099–1127, 2017.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Mean-field stochastic linear quadratic optimal control problems: Open-loop solvabilities.ESAIM: Control, Optimization and Calculus of Variations, 23(3):1099–1127, 2017

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Observation b97e34dc-4322-41a8-85a9-1453d7f93160 · outbound

This paper cites The exact law of large numbers via fubini extension and characterization of insurable risks.Journal of Economic Theory, 126(1):31–69, 2006.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications The exact law of large numbers via fubini extension and characterization of insurable risks.Journal of Economic Theory, 126(1):31–69, 2006

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Observation f1d1d8c6-a8aa-4d0a-9dcf-4f1e25a422d6 · outbound

This paper cites Dynamic programming equation for the mean field optimal stopping problem.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Dynamic programming equation for the mean field optimal stopping problem

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Observation 88fc5f0a-ddba-4320-a249-1cb188977ac3 · outbound

This paper cites Viscosity solutions for obstacle problems on wasserstein space.SIAM Journal on Control and Optimization, 61(3):1712–1736, 2023.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Viscosity solutions for obstacle problems on wasserstein space.SIAM Journal on Control and Optimization, 61(3):1712–1736, 2023

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Observation 92f3b578-68bb-42b2-8f59-e9adf81dc7f2 · outbound

This paper cites From finite population optimal stopping to mean field optimal stopping.Annals of Applied Probability, 34(5):4237–4267, 2024.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications From finite population optimal stopping to mean field optimal stopping.Annals of Applied Probability, 34(5):4237–4267, 2024

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Observation 9d03f97a-24f2-4657-a6a1-e23df3fe124b · outbound

This paper cites Forward and backward mean-field stochastic partial differential equation and optimal control.Chinese Annals of Mathematics, Series B, 40(4):515–540, 2019.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Forward and backward mean-field stochastic partial differential equation and optimal control.Chinese Annals of Mathematics, Series B, 40(4):515–540, 2019

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Resolution: unresolved; no resolver link, observed 2026-08-03T20:49:34.795161Z

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Observation b0cbd2d2-61ff-441a-82d2-8f1207401903 · outbound

This paper cites Linear-quadratic graphon mean field games with common noise.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Linear-quadratic graphon mean field games with common noise

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Observation c9012311-df53-4961-a068-a96d3aa3f7ea · outbound

This paper cites Linear-quadratic optimal control problems for mean-field stochastic differential equations.SIAM Journal on Control and Optimization, 51(4):2809–2838, 2013.

Optimal Control of Heterogeneous Mean-Field Stochastic Differential Equations with Common Noise and Applications Linear-quadratic optimal control problems for mean-field stochastic differential equations.SIAM Journal on Control and Optimization, 51(4):2809–2838, 2013

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