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Paper Citation Record · LEDGER

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games

As of 21 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 2 inbound Pith citation observations for arXiv:2505.07642.

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

pith.paper-citation-record.v1
2505.07642 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:24:44.269843Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:39:57.700190Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:40:00.272968Z

Reference resolution

55 of 55 outbound references displayed

  • verified exact2
  • verified fuzzy35
  • unresolved18
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b5099cc-fb1a-4fcc-a33c-dc97ae424456 · outbound

This paper cites An and J.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games An and J

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 87b6aa29-90ff-4dae-810c-bfa843b13cfd · outbound

This paper cites A mean-field limit for certain deep neural networks.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games A mean-field limit for certain deep neural networks

Reference 2

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no resolver link, observed 2026-08-15T22:24:44.068092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:24:44.068092Z digest=sha256:e762ea00b4da14f24e8bf9999d8850d46f89b98cec3e3404ef719093a9f751ff

Observation 15cd3bf0-8d39-4873-9c96-dc385c85fc2d · outbound

This paper cites Bakry, I.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Bakry, I

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1d3201b0-8698-483d-9df2-6803cd7869d6 · outbound

This paper cites Bergman and I.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Bergman and I

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5961edc4-4b92-4cc6-8850-ad212cee2c86 · outbound

This paper cites Bregman and I.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Bregman and I

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2fba62b8-02b5-4063-8a0a-207e1ffb7f5e · outbound

This paper cites Busoniu, R.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Busoniu, R

Reference 6

Resolution
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raw_fallback, observed 2026-08-15T22:24:45.125724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation d00d108c-2854-4658-943c-9e7093daf69f · outbound

This paper cites Bus ¸oniu, R.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Bus ¸oniu, R

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation abf155e5-e959-42bf-8c8d-b23d8be81c1e · outbound

This paper cites Cai and C.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Cai and C

Reference 8

Resolution
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raw_fallback, observed 2026-08-15T22:24:45.102154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.090917Z digest=sha256:bfb10ef75a93219b34998dd8f04aba974b2baf4ac89af4199b779299d07a4693

Observation 0d45c69d-a1e7-46fd-958f-f3fae2cd57e8 · outbound

This paper cites On the Convergence of Min-Max Langevin Dynamics and Algorithm.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games On the Convergence of Min-Max Langevin Dynamics and Algorithm

Reference 9

Resolution
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no resolver link, observed 2026-08-15T22:24:44.095402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:24:44.095402Z digest=sha256:d87638ff9f52a9fd7e9742c5892995fdc5929fe1b9650a703aa6e57e1ca0a40f

Observation b825d56c-1abd-43e3-b955-acf448695bf9 · outbound

This paper cites 723–748, https://doi.org/10.1051/ps/2023012, https://doi.org/10.1051/ps/ 2023012.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games 723–748, https://doi.org/10.1051/ps/2023012, https://doi.org/10.1051/ps/ 2023012

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation efba51d6-7ec0-4369-8b49-716f8d7f676a · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 9ae63148-55ea-486b-b518-c3a1c02bf87a · outbound

This paper cites Mean-Field Langevin Dynamics: Exponential Convergence and Annealing.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Mean-Field Langevin Dynamics: Exponential Convergence and Annealing

Reference 12

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no resolver link, observed 2026-08-15T22:24:44.108975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:24:44.108975Z digest=sha256:f74af8196d45f362a3f615a6c7202f67bc03ec50e9f8d001b59b38cdf4f48346

Observation 7c86e56e-5622-414b-aada-8dbe1c3b617b · outbound

This paper cites Chizat and F.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Chizat and F

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 157a5ebc-eccb-470b-aa2a-41411af4e0e9 · outbound

This paper cites Chizat, G.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Chizat, G

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.117406Z digest=sha256:11f66a3f589a86c29a0564ed5b025548a99c6b5345d575a25019d962a30f6382

Observation bf08120b-19f1-4e33-b5c6-25401eb0eb33 · outbound

This paper cites Daskalakis, On the complexity of approximating a nash equilibrium , ACM Transactions on Algo- rithms (TALG), 9 (2013), pp.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Daskalakis, On the complexity of approximating a nash equilibrium , ACM Transactions on Algo- rithms (TALG), 9 (2013), pp

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.121157Z digest=sha256:fbd08b3312ebf5453d7639aded19fd4fbf5d9cda06fb6ebad618f10436bec896

Observation c5440ce9-e7d2-424d-a851-3520be27aa1c · outbound

This paper cites Daskalakis, P.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Daskalakis, P

Reference 16

Resolution
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raw_fallback, observed 2026-08-15T22:24:45.036906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.125008Z digest=sha256:3b6f3b060b12178a8d62b4cc8cb67c998a217ac1d966615fbfc17c10c27aa955

Observation 7af3eed2-7175-4bca-96be-1a8c1be43733 · outbound

This paper cites Daskalakis and I.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Daskalakis and I

Reference 17

Resolution
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raw_fallback, observed 2026-08-15T22:24:45.023859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation eb344beb-d2a1-47ec-8ee6-8a30a3077a17 · outbound

This paper cites Daskalakis and I.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Daskalakis and I

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 16679c3d-bbfe-4bcf-bf91-d81435b4d249 · outbound

This paper cites Daskalakis and C.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Daskalakis and C

Reference 19

Resolution
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raw_fallback, observed 2026-08-15T22:24:45.001065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5a434207-42ac-469d-810d-8ac6790ea431 · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e0f9c365-82f9-4bb2-90cb-da8f7beb9df6 · outbound

This paper cites Doan, Convergence rates of two-time-scale gradient descent-ascent dynamics for solving nonconvex min-max problems, in Learning for Dynamics and Control Conference, PMLR, 2022, pp.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Doan, Convergence rates of two-time-scale gradient descent-ascent dynamics for solving nonconvex min-max problems, in Learning for Dynamics and Control Conference, PMLR, 2022, pp

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0c3a2e5b-768a-4cf3-a00e-4f52ef6164a7 · outbound

This paper cites Domingo-Enrich, S.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Domingo-Enrich, S

Reference 22

Resolution
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raw_fallback, observed 2026-08-15T22:24:44.968704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 12967fde-0fe3-40bb-9620-f0906c65f5eb · outbound

This paper cites Etessami and M.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Etessami and M

Reference 23

Resolution
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raw_fallback, observed 2026-08-15T22:24:44.956561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.152283Z digest=sha256:d4fbc43a2280426b1ea324ee24c9d19d1c43ed41ce81a297384b734630c36b42

Observation 14d96f06-f9c1-4184-b627-95ef89db967c · outbound

This paper cites Funaki, A certain class of diffusion processes associated with nonlinear parabolic equations , Zeit- schrift f¨ ur Wahrscheinlichkeitstheorie und Verwandte Gebiete, 67 (1984), pp.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Funaki, A certain class of diffusion processes associated with nonlinear parabolic equations , Zeit- schrift f¨ ur Wahrscheinlichkeitstheorie und Verwandte Gebiete, 67 (1984), pp

Reference 24

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raw_fallback, observed 2026-08-15T22:24:44.944287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation db79537c-2c6b-41a9-b22d-995e6a2e1206 · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 25

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raw_fallback, observed 2026-08-15T22:24:44.931382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4a750670-5ca2-4ab7-a922-0c6e1320a06d · outbound

This paper cites Goodfellow, J.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Goodfellow, J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.919470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 14148f78-04f2-42a2-a0b4-51595d64a09d · outbound

This paper cites Hsieh, C.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Hsieh, C

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.907647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.166107Z digest=sha256:da9f3e00b458365085ff2f9e541cddfc7ea787ced85e545c10f1e61aa1f7a472

Observation b7ca0b98-5938-4c6d-8987-3323f56cf7b9 · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 28

Resolution
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raw_fallback, observed 2026-08-15T22:24:44.895533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.169448Z digest=sha256:ce97f86c805c48983f1b9c8801dd758c1cd7301e9c39573d9360de6e589e2a55

Observation cd1b3813-ce47-4c95-9a40-aecbafe747e8 · outbound

This paper cites Symmetric Mean-field Langevin Dynamics for Distributional Minimax Problems.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Symmetric Mean-field Langevin Dynamics for Distributional Minimax Problems

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-15T22:24:44.360989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.172374Z digest=sha256:0c7da22683a0f85dd6bf7aee627764b310d8132abbe72dc9426ac4e55235e951

Observation 9d50d158-e78d-4180-8392-1707def74234 · outbound

This paper cites Kondratyev, L.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Kondratyev, L

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.884053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.175928Z digest=sha256:94d040986300c28e87d46861a0b8b6b17650741564daa0aac7efd35eb7f98c03

Observation 5d615289-ba7a-4418-9c47-66326df1806d · outbound

This paper cites Laschos and A.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Laschos and A

Reference 31

Resolution
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raw_fallback, observed 2026-08-15T22:24:44.872172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.179638Z digest=sha256:6a3592797c9cc0442fd431749f07ae7c5b240ea3b5ad0fc1f79f597a11d31330

Observation 7d954570-69fe-46ad-8d0c-4e608d8de206 · outbound

This paper cites Lascu, M.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Lascu, M

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.860500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.183056Z digest=sha256:e4ffe523544095fd53168af222fd4a6a17692b7ec0cbf9fbfaa60b0c89f02524

Observation ce5fcdc7-ce40-4c43-ab51-db351907be3f · outbound

This paper cites Lascu, M.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Lascu, M

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.850689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.186644Z digest=sha256:c5f1451098054dff6871b2bd220e21f558fcf67979bb778228d39fd7e153c281

Observation a7c8e721-1fa2-48e9-844d-e4750634ad6d · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:24:44.840111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.190012Z digest=sha256:e4fad9457bbc99038d5c090275e32e429e4118e99324f284ee41d7d8a3dc0360

Observation f5052d8b-40b6-4d89-b384-7b03c1f9a438 · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:24:44.826309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.193528Z digest=sha256:9da9a69b14c509d7461c6aab669db5bddde606c4c028fb5d7e6c3eadfbd34225

Observation 98f06c43-b05d-46ab-86cf-023da7bb858c · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:24:44.814685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.197261Z digest=sha256:4b6199ea9ef9147d463b7c4fcf1551271357c2068ca13957105d55eddf53edc3

Observation f7ddafb6-8df3-416a-8a13-2b621489f689 · outbound

This paper cites Ma and L.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Ma and L

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.802771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.200837Z digest=sha256:dedb96d90e6efff37af8385d76456b735d7365cac290b1ac46175f54f925c96c

Observation 7bb66989-de05-404c-8a7a-f02ee0ac9146 · outbound

This paper cites Madry, A.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Madry, A

Reference 38

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.204475Z digest=sha256:1293e86b05c07c98c44332168b159c7ac6f537795a6ceec8f31835d5473c5d52

Observation e755de9a-fe56-437e-94bd-06f9c2a76574 · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:24:44.780022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.208021Z digest=sha256:8cee8896d84ced8c0d430a53b9cd063c31b50ffd3fee00fb2af2c974688a6e22

Observation 5db6f1e9-4f0f-49ed-bb23-fa0b924601c2 · outbound

This paper cites Local convergence rates for Wasserstein gradient flows and McKean-Vlasov equations with multiple stationary solutions.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Local convergence rates for Wasserstein gradient flows and McKean-Vlasov equations with multiple stationary solutions

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T22:24:44.212186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:24:44.212186Z digest=sha256:7f248853cf27d20129e7edde3db55bc2793ee5339fec5683c0f796972967f991

Observation 09c7524c-46fe-4be7-8b3f-9ee1c4e35315 · outbound

This paper cites Nash, Non-cooperative games, Annals of Mathematics, 54 (1951), pp.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Nash, Non-cooperative games, Annals of Mathematics, 54 (1951), pp

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.767977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.216136Z digest=sha256:a2c56d58b29d9d52f358dd302424e0698ac91cb54145645a9eaa5d1c5feead64

Observation 844f7ced-d8e7-4061-a022-2f51c5846c60 · outbound

This paper cites Mean Field Limit of the Learning Dynamics of Multilayer Neural Networks.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Mean Field Limit of the Learning Dynamics of Multilayer Neural Networks

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T22:24:44.219631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:24:44.219631Z digest=sha256:1f9d14bf7c81021514d1e5a9c554b5214c41777f62a3fbeedf8dff17d99f3853

Observation 97fb9c1a-4046-48e4-8d60-22ac397a1f08 · outbound

This paper cites Nikaido and K.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Nikaido and K

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.756786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.223570Z digest=sha256:b9346d737ddd8098959c59e8805cd57edcfe8689f0f9d75dd496d7711ee25b99

Observation 978737e9-0f74-4bd6-bd2d-7162a739864c · outbound

This paper cites Nitanda, D.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Nitanda, D

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.746771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.227387Z digest=sha256:c36847a528feed2dbc4235200ade8e18d257ae2fd1b176477330fc430d0dfa6d

Observation aa78923f-f231-4441-b236-71f1d73a83f4 · outbound

This paper cites Otto and C.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Otto and C

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.734418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.231028Z digest=sha256:a5eaddef6e2fa561d1027c73d24518f47bb5c59200f4293eced8442e59aae197

Observation 7b8f3521-c007-4707-b7e9-b3d148c9ad4a · outbound

This paper cites Rotskoff and E.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Rotskoff and E

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.721563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.234824Z digest=sha256:d334ebb489cf7ed1a74cfb349d70963079d7486a4784d86a5b4770b55ba978b9

Observation dc801e70-581c-47d0-a4ce-1ef1196b0c9c · outbound

This paper cites Sirignano and K.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Sirignano and K

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.708363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.238598Z digest=sha256:cc1a8b27c3cd3acca3b626244eec57a7d73191fe3c8ee6c40523636414587b5c

Observation 4e157bee-6f68-44c3-8596-fe9be76efe5a · outbound

This paper cites Sirignano and K.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Sirignano and K

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.696163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.242237Z digest=sha256:6c79596add1d1c451b21ac5a710b19d9f183a651c5f6bc6db4bd99a4bc8f135a

Observation 3097c34e-f146-407d-8113-f865d6929080 · outbound

This paper cites Sznitman, Topics in propagation of chaos , in Ecole d’Et´ e de probabilit´ es de Saint-Flour XIX- 1989, Springer, 1991, pp.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Sznitman, Topics in propagation of chaos , in Ecole d’Et´ e de probabilit´ es de Saint-Flour XIX- 1989, Springer, 1991, pp

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.683621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.246091Z digest=sha256:5276afd3f512e0fe5e67e7f93500cc76c22176682e18b0d45d1dc171711f9153

Observation e02ee1db-9363-4e15-94ac-bc09548bd168 · outbound

This paper cites An Exponentially Converging Particle Method for the Mixed Nash Equilibrium of Continuous Games.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games An Exponentially Converging Particle Method for the Mixed Nash Equilibrium of Continuous Games

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-15T22:24:44.249652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:24:44.249652Z digest=sha256:30f829e8bb3ae0c706a707c3949f118575be928f018edefbe619f07d1258e9c4

Observation b583f73e-9131-49f1-8348-23861d73a4a2 · outbound

This paper cites Wang and L.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Wang and L

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.672025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.253661Z digest=sha256:d91ad98a49fffa8c5d798b5de506375e961f4604fbc99f1e7a3aa293a0c02717

Observation 367a456d-3cdd-49a8-8857-ff544e3afa29 · outbound

This paper cites On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games On the Banach spaces associated with multi-layer ReLU networks: Function representation, approximation theory and gradient descent dynamics

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-15T22:24:44.257794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:24:44.257794Z digest=sha256:55a950394277b6d08092f3c7d6befd5e1957ea306ac8c021689cce285224bb7a

Observation 121c766e-355a-4893-90f5-3b38031febaa · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:24:44.659329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.262151Z digest=sha256:44438d1cd57af31268c5323637d353575129ab7b2beec856034f25aa7106b7f9

Observation e2fc846e-d80f-4aa8-af0c-31a4e41ecbe8 · outbound

This paper cites an unresolved cited work.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-15T22:24:44.646615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.266056Z digest=sha256:07e5b39fa6c7557525950922c07342f79d1f6a906b05144bbd0601c3b0b84377

Observation ced00a78-df5f-42f0-a7f8-9d6b035b333b · outbound

This paper cites Zhang, Z.

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games Zhang, Z

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T22:24:44.633414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T22:24:44.269843Z digest=sha256:ae1c5a7526cb5d60ceffce9b6061ba5d3e858ecc55f548f3318086d0e99baad1

Pith citing papers

Observation b62fc7cf-4c04-486b-b9f6-79b926075502 · inbound

Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs cites this paper.

Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:40:00.380212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:39:57.700190Z digest=sha256:f9c716a58c4b5ff7c6f3e93571c42ce628991f208d13d112c1456b20f3f51b1f

Observation 6b83130e-4958-4e27-b839-eb2ebc7782c3 · inbound

Local exponential stability of mean-field Langevin descent-ascent and associated particle system cites this paper.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-03T05:41:55.858808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T05:41:55.858808Z digest=sha256:1491a3c530531d336b5ad91525666c4dffeb2d616df9d5d3b2693ddaa35ee16a