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Paper Citation Record · LEDGER

Convergence Rates of Time Discretization in Extended Mean Field Control

As of 9 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 2026-08-09T06:31:02.800959+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
  • metadata mismatch0

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.487382Z digest=sha256:f5f4efd6c523c8030cb69726c558ea100d2a3d9e6d9fd1dbc2b970db8182082c

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 2026-08-09T06:31:02.800959+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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.496309Z digest=sha256:dd330af16e324e07a3c11218777037647e5e224a7a4a61e5e8297e04d6541e84

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.499483Z digest=sha256:7eb991d86278c82d49b4e71bb7220b31eb8f5f44bb9c15379a66bee3aea1d205

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.502937Z digest=sha256:2a8c25632a2cc1ecbf2348516e193e1afcaf3bb477f0c425bebbc38c5226a699

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.505775Z digest=sha256:f9b3dd950629fd1f3bc606e6a09a62a9cc4006aa79a2bfea986b6286e7837f21

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.508982Z digest=sha256:b487dd20d4e2229b3057d6495ba5831c5980674c3ee0358b1215f0a19d338c63

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.511747Z digest=sha256:2589c2452f790445a49db98000339e19ad05ba91a5a8357704cb24d335eab695

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.514438Z digest=sha256:ccf68cd850d2598a0738b5fa1051980d613ba662e618ab436e3253bb6130fdc8

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.517379Z digest=sha256:642e9dd80bc1c8e6334cc5d3a2a44c967072107d48159fc784767bdf080a7ae7

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.520522Z digest=sha256:0b017be1d75b3cb07134c082e1a0cfeed7b8c46ed44cf494685730ca4be60668

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.523528Z digest=sha256:588d4de55cc6d3e057d2d59a3931668603fc6eb2635ec728926a7c7cd110c011

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.526308Z digest=sha256:d7beaf37cfa9f1621ed4215dd2e0f6e099f041522c1359deb2465d0278fd92bb

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.528986Z digest=sha256:2c78c5f0fa167b7771dc3122e0c6a89e2fd375b1e3135ef4c80a1ad86a4d63a5

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.531495Z digest=sha256:4147b68816620ad4f849df43c98c4fafa1013aa5b392efe70dd647bb4578a3ba

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.534906Z digest=sha256:aad3921026b90ec6613e0ff4c2a6f0e8fda7b9aef0e8f12881fcb661c6f226b5

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.541649Z digest=sha256:1d3e984ed07056a0872fe0e8b086659e4b32f2a5db687b72e6abfaa648e0b63b

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.544508Z digest=sha256:ecdf15ae41027393df24951ef0d29b1a46e74bf81e9f73aa0a35183d44f6e2ee

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.547716Z digest=sha256:b0e725a2d0f2aebf600c22ffedad0785e1bb611eeb8a521fc52110b77482f6de

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.550328Z digest=sha256:c66075436f2991d28bdb025e6e1c814239f2ba16ac6172f42110e3503cf3a9ff

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=sha256:4645bc0983eb8b67ae47525850dda4ad8b234c6999b56e64a591a45d7bb96aa1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.556559Z digest=sha256:210b7ca77efe9c9c1a168e177ea7e99fb92a91cc14e905a49fdd5624a8bbe69a

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.561966Z digest=sha256:354956f709ffeb110d0c1a0c6e035b5ca92cf6a35b15c02e8792d4dca829ad67

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.564719Z digest=sha256:68ea0b77a9282ea9cb373ddf99518c2a22a1c4c7c9bf7b42723c33fbc4db94e5

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.570829Z digest=sha256:bbe118eae2096b416b519406afcbca0f28e16b04731ea21a9159be955857b66e

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.573526Z digest=sha256:5da57583669ec8a74a7af456aa41cd36c7a02eb661299feb259514060728b2c9

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:11:44.576242Z digest=sha256:f3568d5dabc65de25a82b369cedbbf1d9602a271586af216de4c3e3ed4d94e2a

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-26T03:22:59.891609Z digest=sha256:46e3c04b16de1c111020244f6392b7e02c965665ed7e91c1ad8fdfe1c17a767d

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=sha256:784b9077eaefd0d41f4b7b0a485cd0dcdae5983e73235e846321e0d4404e8440

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=sha256:0588e2f5fa830462cacd0eb1c7023eddf9e168f2bcbd7fb6bd2421488a003cfe