Paper Citation Record · LEDGER

Regularity of Solutions of Mean-Field $G$-SDEs

As of 22 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2508.07867.

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

pith.paper-citation-record.v1
2508.07867 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:59:17.713114Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact16
verified fuzzy9
unresolved5
parse uncertain0
malformed identifier4
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1b17daeb-2cb5-4ff8-80ac-5278c4d3c50b · outbound

This paper cites Non-linear affine pro- cesses with jumps.

Regularity of Solutions of Mean-Field $G$-SDEs Non-linear affine pro- cesses with jumps

Reference 1

Resolution: verified exact; doi, observed 2026-08-05T21:59:21.161688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8c8c2cd7-23e2-482d-83f2-b406c92baa37 · outbound

This paper cites Mean-field stochastic differ- ential equations driven by G-Brownian motion.

Regularity of Solutions of Mean-Field $G$-SDEs Mean-field stochastic differ- ential equations driven by G-Brownian motion

Reference 2

Resolution: verified exact; doi, observed 2026-08-05T21:59:20.939841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 378441d2-9603-4279-95c6-dff75d3b6057 · outbound

This paper cites Mean-field stochastic differential equations and associated PDEs.

Regularity of Solutions of Mean-Field $G$-SDEs Mean-field stochastic differential equations and associated PDEs

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-05T21:59:21.798257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 474381fc-7ce6-4bac-a5f3-4c3eee2be2b1 · outbound

This paper cites Mean field game of controls and an application to trade crowding.

Regularity of Solutions of Mean-Field $G$-SDEs Mean field game of controls and an application to trade crowding

Reference 4

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T21:59:20.592918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation de704094-715a-4e2a-82d9-c8a31e13f03a · outbound

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

Regularity of Solutions of Mean-Field $G$-SDEs Probabilistic theory of mean field games with applications I: Mean field FBSDEs, control, and games

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:23.287227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a56afd71-777e-4653-a52e-6d1e2f74cd95 · outbound

This paper cites Probabilistic theory of mean field games with applications II: mean field games with common noise and master equations.

Regularity of Solutions of Mean-Field $G$-SDEs Probabilistic theory of mean field games with applications II: mean field games with common noise and master equations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:23.156270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a6f8bb80-1b5b-4a66-84a8-5b57f06dbdb3 · outbound

This paper cites Quasi-sure analysis, aggregation and dual representations of sublinear expectations in general spaces.

Regularity of Solutions of Mean-Field $G$-SDEs Quasi-sure analysis, aggregation and dual representations of sublinear expectations in general spaces

Reference 7

Resolution: verified exact; doi, observed 2026-08-05T21:59:20.361973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 149aaef6-68de-4d4d-864a-190e237bdab8 · outbound

This paper cites Affine processes under pa- rameter uncertainty.

Regularity of Solutions of Mean-Field $G$-SDEs Affine processes under pa- rameter uncertainty

Reference 8

Resolution: verified exact; doi, observed 2026-08-05T21:59:20.148183Z

Source-reported events for the cited work

correction dated 2019-08-26. Source: crossref record 10.1186/s41546-019-0041-7->10.1186/s41546-019-0039-1:correction, observed 2026-07-11T02:56:42.644802+00:00. This notice travels one citation hop only.

Observation 12709f9c-b7c4-4a6d-b400-7cd6f7f44edf · outbound

This paper cites Lévy-type processes under uncertainty and related nonlocal equations.

Regularity of Solutions of Mean-Field $G$-SDEs Lévy-type processes under uncertainty and related nonlocal equations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:23.114153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ab6ff3a1-c66f-4015-b7b8-85872bca6196 · outbound

This paper cites BSDEs driven by G-Brownian motion under degenerate case and its application to the regularity of fully nonlinear PDEs.

Regularity of Solutions of Mean-Field $G$-SDEs BSDEs driven by G-Brownian motion under degenerate case and its application to the regularity of fully nonlinear PDEs

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-05T21:59:20.008381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8f0f7e39-fd98-42b0-a427-746f24975156 · outbound

This paper cites G-Lévyprocessesundersublinearexpectations.

Regularity of Solutions of Mean-Field $G$-SDEs G-Lévyprocessesundersublinearexpectations

Reference 11

Resolution: malformed identifier; doi_truncated, observed 2026-08-05T21:59:19.790109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8e945f71-ea7c-40a1-a82a-1594150438ec · outbound

This paper cites Backward stochastic differential equations driven by G-Brownian motion.

Regularity of Solutions of Mean-Field $G$-SDEs Backward stochastic differential equations driven by G-Brownian motion

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:23.025537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e1584a5f-360b-4dc6-b949-e4e01ed9b16c · outbound

This paper cites Foundations of Kinetic Theory.

Regularity of Solutions of Mean-Field $G$-SDEs Foundations of Kinetic Theory

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:22.911287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e5c62def-6077-42e6-8e1d-7f1326e4ae77 · outbound

This paper cites Jeux à champ moyen. I – Le cas station- naire.

Regularity of Solutions of Mean-Field $G$-SDEs Jeux à champ moyen. I – Le cas station- naire

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T21:59:15.931664Z

Source-reported events for the cited work

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Observation ca899666-5921-4913-8f74-faaa88bce425 · outbound

This paper cites Jeux à champ moyen. II – Horizon fini et contrôle optimal.

Regularity of Solutions of Mean-Field $G$-SDEs Jeux à champ moyen. II – Horizon fini et contrôle optimal

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:22.827213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 417fd112-1a34-4fc8-8cee-1a6f2bb4794f · outbound

This paper cites Doubly reflected backward SDEs driven by G-Brownian mo- tions and fully nonlinear PDEs with double obstacles.

Regularity of Solutions of Mean-Field $G$-SDEs Doubly reflected backward SDEs driven by G-Brownian mo- tions and fully nonlinear PDEs with double obstacles

Reference 16

Resolution: verified exact; doi, observed 2026-08-05T21:59:19.388463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dbfbaecf-9345-490a-aad5-f69e8ac9c0ea · outbound

This paper cites A Class of Markov Processes Associated with Nonlinear Parabolic Equations.

Regularity of Solutions of Mean-Field $G$-SDEs A Class of Markov Processes Associated with Nonlinear Parabolic Equations

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T21:59:16.247329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d178435-5146-4af6-b0ac-04317874a422 · outbound

This paper cites Nonlinear L\'evy Processes and their Characteristics.

Regularity of Solutions of Mean-Field $G$-SDEs Nonlinear L\'evy Processes and their Characteristics

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-05T21:59:21.669453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ce71431b-3fa4-4e55-bee5-2473bd29ca7c · outbound

This paper cites Constructing sublinear expectations on path space.

Regularity of Solutions of Mean-Field $G$-SDEs Constructing sublinear expectations on path space

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:22.755854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2afab20a-655b-4145-af0f-de9e9c415360 · outbound

This paper cites A New Central Limit Theorem under Sublinear Expectations.

Regularity of Solutions of Mean-Field $G$-SDEs A New Central Limit Theorem under Sublinear Expectations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T21:59:16.688621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fb00717-8224-42c5-9953-04b003675405 · outbound

This paper cites Filtration Consistent Nonlinear Expectations and Evaluations of Contin- gent Claims.

Regularity of Solutions of Mean-Field $G$-SDEs Filtration Consistent Nonlinear Expectations and Evaluations of Contin- gent Claims

Reference 21

Resolution: verified exact; doi, observed 2026-08-05T21:59:18.935443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5fafaec9-ad27-4198-a33b-cf160d565344 · outbound

This paper cites G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô Type.

Regularity of Solutions of Mean-Field $G$-SDEs G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô Type

Reference 22

Resolution: verified exact; doi, observed 2026-08-05T21:59:18.694285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c05389b7-5d5a-469b-8a1d-aafb91db7ae9 · outbound

This paper cites G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Ito's type.

Regularity of Solutions of Mean-Field $G$-SDEs G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Ito's type

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-05T21:59:18.448772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fcdd6f4c-21db-474d-b332-29b99782c082 · outbound

This paper cites Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation.

Regularity of Solutions of Mean-Field $G$-SDEs Multi-dimensional G-Brownian motion and related stochastic calculus under G-expectation

Reference 24

Resolution: verified exact; doi, observed 2026-08-05T21:59:18.111577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 66eab239-c006-4668-a4eb-53d0338117ca · outbound

This paper cites Nonlinear expectations and stochastic calculus under uncertainty: with Ro- bust CLT and G-Brownian motion.

Regularity of Solutions of Mean-Field $G$-SDEs Nonlinear expectations and stochastic calculus under uncertainty: with Ro- bust CLT and G-Brownian motion

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:22.639497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3e2f0962-3661-4195-ae83-d76d064259ea · outbound

This paper cites BSDE, path-dependent PDE and nonlinear Feynman- Kac formula.

Regularity of Solutions of Mean-Field $G$-SDEs BSDE, path-dependent PDE and nonlinear Feynman- Kac formula

Reference 26

Resolution: verified exact; doi, observed 2026-08-05T21:59:17.805361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 46299781-f5ee-4d75-9b68-89e4faddcd35 · outbound

This paper cites On distribution dependent stochastic differential equations driven by $G$-Brownian motion.

Regularity of Solutions of Mean-Field $G$-SDEs On distribution dependent stochastic differential equations driven by $G$-Brownian motion

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-05T21:59:21.466227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ea4550b6-c917-456f-9b3b-ac0c31bbbfe4 · outbound

This paper cites Mean-field backward stochastic differential equations driven by G- Brownian motion and related partial differential equations.

Regularity of Solutions of Mean-Field $G$-SDEs Mean-field backward stochastic differential equations driven by G- Brownian motion and related partial differential equations

Reference 28

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T21:59:22.327335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6dbf9c14-4919-4afb-aed0-90660efc949e · outbound

This paper cites Topics in propagation of chaos.

Regularity of Solutions of Mean-Field $G$-SDEs Topics in propagation of chaos

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T21:59:22.079800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a0106c09-e4cf-4bfa-a95d-0d9109aa19a2 · outbound

This paper cites an unresolved cited work.

Regularity of Solutions of Mean-Field $G$-SDEs Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-05T21:59:17.713114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32186237-09d9-474f-b768-768f2c1e6de7 · outbound

This paper cites doi: 10.1007/978- 3662-59903-7.

Regularity of Solutions of Mean-Field $G$-SDEs doi: 10.1007/978- 3662-59903-7

Reference 95

Resolution: malformed identifier; no resolver link, observed 2026-08-05T21:59:17.376758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b37db15-91b7-42f3-9505-71ef0d5599a8 · outbound

This paper cites doi: 10.1016/j.crma.2006.09.018.

Regularity of Solutions of Mean-Field $G$-SDEs doi: 10.1016/j.crma.2006.09.018

Reference 684

Resolution: unresolved; no resolver link, observed 2026-08-05T21:59:16.059650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5267fe2-1b5a-483f-9b3d-e58f5552c467 · outbound

This paper cites doi: 10.1016/j.spa.2013.09.010.

Regularity of Solutions of Mean-Field $G$-SDEs doi: 10.1016/j.spa.2013.09.010

Reference 784

Resolution: verified exact; doi, observed 2026-08-05T21:59:19.603835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 81621339-36ad-4bc8-b399-cf69ee6bf823 · outbound

This paper cites doi: 10.1016/j.spa.2013.03.022.

Regularity of Solutions of Mean-Field $G$-SDEs doi: 10.1016/j.spa.2013.03.022

Reference 3121

Resolution: verified exact; doi, observed 2026-08-05T21:59:19.177798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

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