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Paper Citation Record · LEDGER

Convergence Rates of Time Discretization in Extended Mean Field Control

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 3 inbound Pith citation observations for arXiv:2509.00904.

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

pith.paper-citation-record.v1
2509.00904 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:11:44.576242Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

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

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:28:22.886526Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:39:57.157083Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact1
  • verified fuzzy25
  • unresolved4
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7817e3e5-06bd-4c26-8171-2947fb4e2501 · outbound

This paper cites Extended mean field control prob- lems: stochastic maximum principle and transport perspective.

Convergence Rates of Time Discretization in Extended Mean Field Control Extended mean field control prob- lems: stochastic maximum principle and transport perspective

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.978882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.487382Z digest=sha256:bdf66f897177ffd49d36d0ba22a1fd0c9ae73b43fb37ed63d0a49e0a40485083

Observation 29307a7d-b83b-43ca-8675-9b4eeb14d6cf · outbound

This paper cites Linear-quadratic McKean-Vlasov stochastic control problems with random coefficients on finite and infinite horizon, and applications.

Convergence Rates of Time Discretization in Extended Mean Field Control Linear-quadratic McKean-Vlasov stochastic control problems with random coefficients on finite and infinite horizon, and applications

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:11:44.724559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 34e55974-4372-4e38-bd8c-bd3bc0c48928 · outbound

This paper cites Well-posedness of mean-field type forward-backward stochastic differential equations.

Convergence Rates of Time Discretization in Extended Mean Field Control Well-posedness of mean-field type forward-backward stochastic differential equations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.969660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.496309Z digest=sha256:d46ed3c08b528b96f24434c59e350008a2267901332ef330143bfc2f2d5ca452

Observation 4f8cff40-4d4a-4be9-b46b-43b81cd3ba0b · outbound

This paper cites Viscosity solutions for controlled McKean-Vlasov jump-diffusions.

Convergence Rates of Time Discretization in Extended Mean Field Control Viscosity solutions for controlled McKean-Vlasov jump-diffusions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.960219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.499483Z digest=sha256:cc1a390ecab03f322e76df52641027326ee56427c4e29f47338dd39823b0aee8

Observation 7b23ada2-501d-488a-987d-7f5845eb1031 · outbound

This paper cites Forward-backward stochastic differential equations and con- trolled McKean-Vlasov dynamics.

Convergence Rates of Time Discretization in Extended Mean Field Control Forward-backward stochastic differential equations and con- trolled McKean-Vlasov dynamics

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.950842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.502937Z digest=sha256:8baaa5748a810cf096eb68e38a7c4f52442fd29afd0a46e99f8ba33cbe751d70

Observation 6108eb71-080b-4d47-8e7d-975e34f0e051 · outbound

This paper cites Probabilistic theory of mean field games with applications I: Mean-field FBSDEs, control, and games.

Convergence Rates of Time Discretization in Extended Mean Field Control Probabilistic theory of mean field games with applications I: Mean-field FBSDEs, control, and games

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.940704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.505775Z digest=sha256:204f0acf0963b01ccbf18a9edf84a1dee742974d91840d419f92ee115121a6cc

Observation e5607a4d-faa3-4249-85ab-dec392de51a4 · outbound

This paper cites Convergence analysis of machine learning algorithms for the numerical solution of mean field control and games: II-The finite horizon case.

Convergence Rates of Time Discretization in Extended Mean Field Control Convergence analysis of machine learning algorithms for the numerical solution of mean field control and games: II-The finite horizon case

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.931336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.508982Z digest=sha256:333335bae5c28f18d92eacd06bef3ae0cec0f0c44c528e54fbd10ccd27e620c4

Observation 744d5003-04be-4807-a5f7-f0f8ccc83bc3 · outbound

This paper cites A probabilistic approach to classical solutions of the master equation for large population equilibria.

Convergence Rates of Time Discretization in Extended Mean Field Control A probabilistic approach to classical solutions of the master equation for large population equilibria

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.921702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.511747Z digest=sha256:d213d2c52ed5607131d53acbbaed54198535936d399ccdd133e6a6925dbaeeb0

Observation e8593a2d-4267-4922-a4e3-e8018584522b · outbound

This paper cites Master Bellman equation in the Wasserstein space: Uniqueness of viscosity solutions.

Convergence Rates of Time Discretization in Extended Mean Field Control Master Bellman equation in the Wasserstein space: Uniqueness of viscosity solutions

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.911975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.514438Z digest=sha256:c1821895f9518f6dbd5e886a3399081629ed5241b92f71edaa0f6cb7d6519d7e

Observation 7b3cf299-c17f-42ab-82eb-0c85cc654065 · outbound

This paper cites Emergent behavior in flocks.

Convergence Rates of Time Discretization in Extended Mean Field Control Emergent behavior in flocks

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.903056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.517379Z digest=sha256:391ca46ed6c38fac6f5b663f0609a0097ca8446410f6b9c0d312e9e7a55235bb

Observation ddc2ecc2-4dc5-437e-a3ee-35070b2c7bb7 · outbound

This paper cites Extended mean field control problem: a propagation of chaos result.

Convergence Rates of Time Discretization in Extended Mean Field Control Extended mean field control problem: a propagation of chaos result

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.893119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.520522Z digest=sha256:02e8e5b373598dcf4e4355fbdd26094a4de62ecc66ef43e4b4eccc20c7fc2d0d

Observation 92a788ef-8117-4c6e-a8c6-bdb11ae737ac · outbound

This paper cites McKean-Vlasov optimal control: the dynamic programming principle.

Convergence Rates of Time Discretization in Extended Mean Field Control McKean-Vlasov optimal control: the dynamic programming principle

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.882913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.523528Z digest=sha256:6083e8b1aa31b65915294e5dce0bc9efb15def3581e555cc1613fe47cca30a6b

Observation 4443c704-1548-40d4-a144-170e01465ff5 · outbound

This paper cites Extended McKean-Vlasov optimal stochastic control applied to smart grid management.

Convergence Rates of Time Discretization in Extended Mean Field Control Extended McKean-Vlasov optimal stochastic control applied to smart grid management

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.872850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.526308Z digest=sha256:4d4484ebc6b72267804209a5c83d42bc1dd2476683f4da2cda845ef74a864466

Observation 5fa666ca-72fa-4750-807d-7b6afe547b73 · outbound

This paper cites Reinforcement learning for linear-convex models with jumps via stability analysis of feedback controls.

Convergence Rates of Time Discretization in Extended Mean Field Control Reinforcement learning for linear-convex models with jumps via stability analysis of feedback controls

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.861956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.528986Z digest=sha256:25d30750271012554c135d48a62b6d7f213adc0f6beebd1efc88bf4523578fc1

Observation 870ddacd-e738-426c-a99b-f64f81cd0675 · outbound

This paper cites Itˆ o’s formula for flows of measures on semimartingales.

Convergence Rates of Time Discretization in Extended Mean Field Control Itˆ o’s formula for flows of measures on semimartingales

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.851142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.531495Z digest=sha256:12e30b0606ec5955a69fe908600b1ecf9f0a4049c90bcf407618fbe6e6f654a9

Observation a8c93584-ccb8-4a06-a687-c16530e0ef4c · outbound

This paper cites Improved order 1 /4 convergence of Krylov’s piecewise constant policy approximation.

Convergence Rates of Time Discretization in Extended Mean Field Control Improved order 1 /4 convergence of Krylov’s piecewise constant policy approximation

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.840784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.534906Z digest=sha256:5c7c80a5889e25b0299cc5370bd1eaa479bdf23a12c7947f3563daf8cf7e3666

Observation def5004f-a398-488e-ae0e-320bd65fadc8 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Convergence Rates of Time Discretization in Extended Mean Field Control Adam: A Method for Stochastic Optimization

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-05T13:11:44.537958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:11:44.537958Z digest=sha256:a21551c0a9b4f02887f58934c3a903dfdc890814b55eda0e452a86b2653e0f58

Observation caf9316f-37f3-4b37-a06b-7379650b4609 · outbound

This paper cites Approximating value functions for controlled degenerate diffusion processes by using piece-wise constant policies.

Convergence Rates of Time Discretization in Extended Mean Field Control Approximating value functions for controlled degenerate diffusion processes by using piece-wise constant policies

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.829911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.541649Z digest=sha256:e06a5432b2e61972eb8f138b525ea0bb5a31c71addb6b962050c9d0dc1c40499

Observation fe5056cb-e95f-458e-86c7-a57d8784362c · outbound

This paper cites Convergence of large population games to mean field games with interaction through the controls.

Convergence Rates of Time Discretization in Extended Mean Field Control Convergence of large population games to mean field games with interaction through the controls

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.820456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.544508Z digest=sha256:e9dbcc3ed9eff3542f89fed6f86d51532183c561262c3c575a68226ffb4c0fe2

Observation 0fdda026-6c91-4a6d-a64f-b8b9b79c1de4 · outbound

This paper cites On the convergence rate for piece-wise constant policy approximation of stochastic optimal control problem.

Convergence Rates of Time Discretization in Extended Mean Field Control On the convergence rate for piece-wise constant policy approximation of stochastic optimal control problem

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.810337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.547716Z digest=sha256:4fce771484708c33bbfe6e4dc5c40b1bf4025d8fd8921c1180fbae72fc0d253c

Observation 6ab4231e-bef0-40ee-96dc-c2c14fcab84a · outbound

This paper cites Mean field analysis of controlled Cucker- Smale type flocking: Linear analysis and perturbation equations.

Convergence Rates of Time Discretization in Extended Mean Field Control Mean field analysis of controlled Cucker- Smale type flocking: Linear analysis and perturbation equations

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.800222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.550328Z digest=sha256:f31ca8cb475f9874088a2b66fcca4504e994550159e5852d1bc8eb9a47906ec0

Observation 2ba16f8b-3d95-44c5-a5e2-0c8ab558dee4 · outbound

This paper cites Mean-field neural networks-based algorithms for McKean-Vlasov control problems *.

Convergence Rates of Time Discretization in Extended Mean Field Control Mean-field neural networks-based algorithms for McKean-Vlasov control problems *

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-05T13:11:44.553482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:11:44.553482Z digest=sha256:e6d67e75c9fbf5821898c3edbd215e7dcc25dc469ee99a3d334ea25e15f0eb0d

Observation 5ddc26ad-fa25-41ab-b757-39e44d8051b9 · outbound

This paper cites Bellman equation and viscosity solutions for mean-field stochastic control problem.

Convergence Rates of Time Discretization in Extended Mean Field Control Bellman equation and viscosity solutions for mean-field stochastic control problem

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.789696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.556559Z digest=sha256:236e1892e9bfc9f0f2f3d810bea13f5781799a25389d4b9665e1eba6794c6b3b

Observation 41addbf5-f543-4c21-aa29-5c833b12a1d1 · outbound

This paper cites Extended mean field control: a finite-dimensional numerical approximation.

Convergence Rates of Time Discretization in Extended Mean Field Control Extended mean field control: a finite-dimensional numerical approximation

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-05T13:11:44.559181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:11:44.559181Z digest=sha256:7c9c281c572576caffe90de43f8e2048e0eeb5da96c28b3b46f89a2dad2b80fb

Observation 2ac1a4a8-bb44-4ade-88dc-5587d7b64f14 · outbound

This paper cites Freidlin-Wentzell LDP in path space for McKean- Vlasov equations and the functional iterated logarithm law.

Convergence Rates of Time Discretization in Extended Mean Field Control Freidlin-Wentzell LDP in path space for McKean- Vlasov equations and the functional iterated logarithm law

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.778697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.561966Z digest=sha256:506d0b9128c1bf489ce4136ad00d848969f75ed4e780fd1ce35282e2f1a60c31

Observation ae916b11-835f-4768-931f-37c5c1e6c270 · outbound

This paper cites A fast iterative PDE-based algorithm for feedback controls of nonsmooth mean-field control problems.

Convergence Rates of Time Discretization in Extended Mean Field Control A fast iterative PDE-based algorithm for feedback controls of nonsmooth mean-field control problems

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.767866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.564719Z digest=sha256:35e2cebc116897a03babaf9bc8569a1e4106add0efea93a57a92ed0c1d22b295

Observation 3b8eb266-6736-453f-a2a2-194c4c23cfb7 · outbound

This paper cites Exploration-exploitation trade-off for continuous-time episodic reinforcement learning with linear-convex models.

Convergence Rates of Time Discretization in Extended Mean Field Control Exploration-exploitation trade-off for continuous-time episodic reinforcement learning with linear-convex models

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-05T13:11:44.567437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:11:44.567437Z digest=sha256:beb4605beb570129cd6b5e702615bfd34f4dee52e5304e89bd45282715a40bb3

Observation 81b34b35-bdc1-4c90-8824-d8e3fd0bf672 · outbound

This paper cites Optimal Transport: Old and New.

Convergence Rates of Time Discretization in Extended Mean Field Control Optimal Transport: Old and New

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.757232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.570829Z digest=sha256:5f4abc382784f3503b3c24a1678d6fc2b734b98e390a33a88fea345281ddb9fa

Observation c857209d-4723-41e3-ba1b-065631df9106 · outbound

This paper cites A linear-quadratic optimal control problem for mean-field stochastic differential equations.

Convergence Rates of Time Discretization in Extended Mean Field Control A linear-quadratic optimal control problem for mean-field stochastic differential equations

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.746018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.573526Z digest=sha256:ac09e49fc6d709139f617767e3153ef55fa9bc61b7c119ab58bb78820a3c4da1

Observation 8e973538-77ac-46b6-b342-f398e4493cf7 · outbound

This paper cites Backward Stochastic Differential Equations: From Linear to Fully Nonlinear Theory.

Convergence Rates of Time Discretization in Extended Mean Field Control Backward Stochastic Differential Equations: From Linear to Fully Nonlinear Theory

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:11:44.735369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T13:11:44.576242Z digest=sha256:1c75aaa964302df28afbedc7cd4bf57fa836fb701da000a75d7b665f55f1d563

Pith citing papers

Observation f0252c41-5301-4582-a49f-e357b7a1e6ad · inbound

Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates cites this paper.

Numerical Approximation for Path-Dependent McKean-Vlasov Control with Non-Asymptotic Error Estimates Convergence Rates of Time Discretization in Extended Mean Field Control

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-07-04T14:39:57.158934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-26T03:22:59.891609Z digest=sha256:f2686bad7608f6fe84ef08a8ef650753b5fd977b815fa145ca86e904e3710c7d

Observation b1e3a1fd-c791-46ad-bcb8-9fedc7f7da27 · inbound

Actor-Critic Learning for Extended Mean Field Control with Deterministic Policies cites this paper.

Actor-Critic Learning for Extended Mean Field Control with Deterministic Policies Convergence Rates of Time Discretization in Extended Mean Field Control

Reference 31

Resolution
unresolved
no resolver link, observed 2026-07-14T07:42:38.840826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T07:42:38.840826Z digest=sha256:d25fd35163e03c6d1283ecd41ca74ca938692f30f3266ba7fd52c358ea23bc42

Observation 08be2c17-fff1-4fb7-becc-e25e706b56da · inbound

NeuralChaos: Optimal Adapted Approximation of Square Integrable Predictable Processes cites this paper.

NeuralChaos: Optimal Adapted Approximation of Square Integrable Predictable Processes Convergence Rates of Time Discretization in Extended Mean Field Control

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-02T02:28:22.886526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T02:28:22.886526Z digest=sha256:60f29b8e5b40e0993a12d803d72d911138344d7ab22d6ca68c61e95cbd5b2ac2