Paper Citation Record · LEDGER

Monotone solutions to mean field games master equation in the L2-monotone setting

As of 22 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2505.10045.

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

pith.paper-citation-record.v1
2505.10045 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:27:26.564743Z

measured 38 of 38 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:27:30.759356Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact3
verified fuzzy16
unresolved18
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ecd0f8b5-f372-42ab-bf06-f12683a56e6c · outbound

This paper cites Hidden monotonicity and canonical transformations for mea n ﬁeld games and master equations.

Monotone solutions to mean field games master equation in the L2-monotone setting Hidden monotonicity and canonical transformations for mea n ﬁeld games and master equations

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.439116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d00bbc3e-8179-4556-8797-287926788d94 · outbound

This paper cites The Master equation in mean ﬁeld theory.

Monotone solutions to mean field games master equation in the L2-monotone setting The Master equation in mean ﬁeld theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.443584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25355c9a-95fc-4306-a509-804a9bb4bc89 · outbound

This paper cites Jeux à champ moyen et contrôle stochastiqu e dans l’espace de Wasserstein.

Monotone solutions to mean field games master equation in the L2-monotone setting Jeux à champ moyen et contrôle stochastiqu e dans l’espace de Wasserstein

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:27.055268Z

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 7629c461-f0f3-4f3a-9c20-45470788c1a6 · outbound

This paper cites Monotone solutions for mean ﬁeld games mas ter equations: continuous state space and common noise.

Monotone solutions to mean field games master equation in the L2-monotone setting Monotone solutions for mean ﬁeld games mas ter equations: continuous state space and common noise

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:27.043985Z

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 567f3463-c526-47fd-adf3-61bcd815b404 · outbound

This paper cites A two spaces extension of C auchy-Lipschitz theorem.

Monotone solutions to mean field games master equation in the L2-monotone setting A two spaces extension of C auchy-Lipschitz theorem

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:27.032832Z

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 4594c05f-505f-41ad-a999-b75f7c91d515 · outbound

This paper cites Noise through an additional variable for mean field games master equation on finite state space.

Monotone solutions to mean field games master equation in the L2-monotone setting Noise through an additional variable for mean field games master equation on finite state space

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.458185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b653971-f7e5-4939-aac7-98bdd806eb67 · outbound

This paper cites Monotone solutions for mean ﬁeld ga mes master equations: ﬁnite state space and optimal stopping.

Monotone solutions to mean field games master equation in the L2-monotone setting Monotone solutions for mean ﬁeld ga mes master equations: ﬁnite state space and optimal stopping

Reference 7

Resolution: verified exact; doi, observed 2026-08-15T21:27:26.610024Z

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 82736bfb-a4dc-4424-8873-f6c929347d08 · outbound

This paper cites On monotone solutions of mean ﬁeld g ames master equations.

Monotone solutions to mean field games master equation in the L2-monotone setting On monotone solutions of mean ﬁeld g ames master equations

Reference 8

Resolution: verified exact; doi, observed 2026-08-15T21:27:26.597314Z

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 f6444d52-6e18-4699-84de-3e96c7a9c909 · outbound

This paper cites Mean Field Game s Master Equations: From Discrete to Continuous State Space.

Monotone solutions to mean field games master equation in the L2-monotone setting Mean Field Game s Master Equations: From Discrete to Continuous State Space

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:27.021701Z

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 34c48d26-ea0c-49b3-a5c1-86b07e61c6f9 · outbound

This paper cites On Lipschitz solutions of mean ﬁeld games master equations.

Monotone solutions to mean field games master equation in the L2-monotone setting On Lipschitz solutions of mean ﬁeld games master equations

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:27.010787Z

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 0b398550-6bd3-4368-8479-1f4920fed876 · outbound

This paper cites An approximation of the squared Wasserstein distance and an application to Hamilton-Jacobi equations.

Monotone solutions to mean field games master equation in the L2-monotone setting An approximation of the squared Wasserstein distance and an application to Hamilton-Jacobi equations

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.475609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e5aa57a-b7b9-44b8-ae4b-b3272295a774 · outbound

This paper cites Weak Solutions for First Order Mean F ield Games with Local Coupling.

Monotone solutions to mean field games master equation in the L2-monotone setting Weak Solutions for First Order Mean F ield Games with Local Coupling

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.998900Z

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 ada56d2c-d9a2-4685-a94f-8f50ce64b7f7 · outbound

This paper cites The master equation and the convergence problem in mean ﬁeld games.

Monotone solutions to mean field games master equation in the L2-monotone setting The master equation and the convergence problem in mean ﬁeld games

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.482626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc6dbdfc-b1a4-468a-9135-b8f35e6f65ce · outbound

This paper cites Mean ﬁeld forwar d-backward stochastic diﬀerential equations.

Monotone solutions to mean field games master equation in the L2-monotone setting Mean ﬁeld forwar d-backward stochastic diﬀerential equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.485843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af4828f0-621c-4954-b271-837c7738c95e · outbound

This paper cites Probabilistic Theory of Mean Field Games with Applications II.

Monotone solutions to mean field games master equation in the L2-monotone setting Probabilistic Theory of Mean Field Games with Applications II

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.488948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1ce6a4e-79a0-465f-a426-f67bb3d0a84c · outbound

This paper cites Weak solutions to the master equation of potential mean field games.

Monotone solutions to mean field games master equation in the L2-monotone setting Weak solutions to the master equation of potential mean field games

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.492302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 221e629a-c169-438a-bd82-27feb7f869fa · outbound

This paper cites On smooth approxim ations in the Wasserstein space.

Monotone solutions to mean field games master equation in the L2-monotone setting On smooth approxim ations in the Wasserstein space

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.968386Z

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 7007107a-05a4-4da0-9a75-d8e1efb37026 · outbound

This paper cites user’s guide to viscosity solutions of second order partial diﬀerential equations.

Monotone solutions to mean field games master equation in the L2-monotone setting user’s guide to viscosity solutions of second order partial diﬀerential equations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.957674Z

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 f7d38429-4494-4504-b2f0-d613acfb7ae6 · outbound

This paper cites A comparison principle for se milinear Hamilton–Jacobi–Bellman equations in the Wasserstein space.

Monotone solutions to mean field games master equation in the L2-monotone setting A comparison principle for se milinear Hamilton–Jacobi–Bellman equations in the Wasserstein space

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.946964Z

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 6012991c-ca5c-4be2-8feb-833cb523ae27 · outbound

This paper cites Fatou’s Lemma in Its Classical Form and Lebesgue’s Convergence Theorems for Varying Measures with Applicatio ns to Markov Decision Processes.

Monotone solutions to mean field games master equation in the L2-monotone setting Fatou’s Lemma in Its Classical Form and Lebesgue’s Convergence Theorems for Varying Measures with Applicatio ns to Markov Decision Processes

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.936472Z

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 49e78c0b-441c-49db-8d63-fc53fcc11f99 · outbound

This paper cites an unresolved cited work.

Monotone solutions to mean field games master equation in the L2-monotone setting Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:27:26.925755Z

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 c182742c-a3f8-40ca-92c2-d4194ecf18a7 · outbound

This paper cites Mean Fi eld Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity.

Monotone solutions to mean field games master equation in the L2-monotone setting Mean Fi eld Games Master Equations with Non-separable Hamiltonians and Displacement Monotonicity

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.513384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0197776b-70f1-4adb-a001-b6c9ac87da73 · outbound

This paper cites and Mandrekar, V.

Monotone solutions to mean field games master equation in the L2-monotone setting and Mandrekar, V

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.908872Z

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 8d10f8c8-ebb5-41be-9610-693a06c9a6e6 · outbound

This paper cites an unresolved cited work.

Monotone solutions to mean field games master equation in the L2-monotone setting Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:27:26.897169Z

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 7e228ca4-1c47-4c9c-bfdd-547026733676 · outbound

This paper cites Mean ﬁel d games.

Monotone solutions to mean field games master equation in the L2-monotone setting Mean ﬁel d games

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.523330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5a9c496-2ab2-4aa7-a9bc-bd4f4c6d9f07 · outbound

This paper cites Lectures at Collège de France.

Monotone solutions to mean field games master equation in the L2-monotone setting Lectures at Collège de France

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.526670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7419011-1102-46c7-be44-abdd4eb56e6c · outbound

This paper cites “Viscosity solutions of fully nonlinear s econd-order equations and optimal stochastic control in inﬁnite dimensions.

Monotone solutions to mean field games master equation in the L2-monotone setting “Viscosity solutions of fully nonlinear s econd-order equations and optimal stochastic control in inﬁnite dimensions

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.530151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbf73d0b-dbbb-4a43-9664-c69a9b01e79b · outbound

This paper cites Transport Equations and Flows with One-Sided Lipschitz Velocity Fields.

Monotone solutions to mean field games master equation in the L2-monotone setting Transport Equations and Flows with One-Sided Lipschitz Velocity Fields

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.867400Z

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 28d748a7-3977-426e-b53a-5c4d175724fb · outbound

This paper cites “Viscosity solutions of fully nonlinear se cond-order equations and optimal stochastic control in inﬁnite dimensions.

Monotone solutions to mean field games master equation in the L2-monotone setting “Viscosity solutions of fully nonlinear se cond-order equations and optimal stochastic control in inﬁnite dimensions

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.855418Z

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 dc76e84a-3f89-49bc-9eae-975c50253b30 · outbound

This paper cites Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations.

Monotone solutions to mean field games master equation in the L2-monotone setting Global Well-Posedness of Displacement Monotone Degenerate Mean Field Games Master Equations

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.540326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8533e87-7020-4315-ace1-6e3f00833cab · outbound

This paper cites A study of common noise in mean ﬁeld games.

Monotone solutions to mean field games master equation in the L2-monotone setting A study of common noise in mean ﬁeld games

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.844480Z

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 c8de496f-3294-46f7-8322-a4455c72e0ec · outbound

This paper cites Wellposedness of S econd Order Master Equations for Mean Field Games with Nonsmooth Data.

Monotone solutions to mean field games master equation in the L2-monotone setting Wellposedness of S econd Order Master Equations for Mean Field Games with Nonsmooth Data

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.547644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66fea998-61d5-4d6d-8c5e-7f19d838a3f3 · outbound

This paper cites Mean Field Games Systems under Displacement Monotonicity.

Monotone solutions to mean field games master equation in the L2-monotone setting Mean Field Games Systems under Displacement Monotonicity

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.551015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97483744-23eb-41eb-945f-3f5b8a779c40 · outbound

This paper cites Fully Coupled Forward-Backward Sto chastic Diﬀerential Equations and Applications to Optimal Control.

Monotone solutions to mean field games master equation in the L2-monotone setting Fully Coupled Forward-Backward Sto chastic Diﬀerential Equations and Applications to Optimal Control

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T21:27:26.554364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edd928d4-acc3-4886-965a-df5342846f86 · outbound

This paper cites Weak Solutions to Fokker–Planck E quations and Mean Field Games.

Monotone solutions to mean field games master equation in the L2-monotone setting Weak Solutions to Fokker–Planck E quations and Mean Field Games

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.812641Z

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 004a6adb-f6c9-43ba-8fc9-c23605bc0639 · outbound

This paper cites Existence and uniqueness to the Cauch y problem for linear and semilinear parabolic equations with local conditions.

Monotone solutions to mean field games master equation in the L2-monotone setting Existence and uniqueness to the Cauch y problem for linear and semilinear parabolic equations with local conditions

Reference 36

Resolution: verified exact; raw_fallback, observed 2026-08-15T21:27:26.691505Z

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 021d6d45-7c87-4ad6-8bfe-7088d6805206 · outbound

This paper cites Optimization of functions on certa in subsets of Banach spaces.

Monotone solutions to mean field games master equation in the L2-monotone setting Optimization of functions on certa in subsets of Banach spaces

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:27:26.801483Z

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

Observation 42aa8763-62e6-40ad-b60f-e073e68f3b2e · inbound

Analysis on spaces of measures cites this paper.

Analysis on spaces of measures Monotone solutions to mean field games master equation in the L2-monotone setting

Reference 105

Resolution: unresolved; no resolver link, observed 2026-08-01T11:27:30.759356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.