Paper Citation Record · LEDGER

Donsker-Type Theorem for BSDEs: Rate of Convergence

As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.01188.

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

pith.paper-citation-record.v1
1908.01188 v1

Coverage vector

measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T15:36:51.975985Z

measured 31 of 31 standing notices

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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.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

31 of 31 outbound references displayed

verified exact3
verified fuzzy22
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a059550-f31b-4dea-9419-8e7d53e914a6 · outbound

This paper cites an unresolved cited work.

Donsker-Type Theorem for BSDEs: Rate of Convergence Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:52.368445Z

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 815627f1-2777-4375-accb-89a5103d4e04 · outbound

This paper cites In all the sequel, T > 0 is a ﬁxed positive real number.

Donsker-Type Theorem for BSDEs: Rate of Convergence In all the sequel, T > 0 is a ﬁxed positive real number

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.357881Z

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 a3a78823-5bc1-453c-98d9-0e9e5fc96d82 · outbound

This paper cites One starting point of our paper is the following result of Emm anuel Rio [ 15] (Theorem 2.1); see also [ 16].

Donsker-Type Theorem for BSDEs: Rate of Convergence One starting point of our paper is the following result of Emm anuel Rio [ 15] (Theorem 2.1); see also [ 16]

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.346224Z

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 d4879e95-89ff-45e7-ab0a-ef83ed621928 · outbound

This paper cites Let us start by known regularity properties of the function u that follow from classical a priori estimates for BSDEs.

Donsker-Type Theorem for BSDEs: Rate of Convergence Let us start by known regularity properties of the function u that follow from classical a priori estimates for BSDEs

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.326336Z

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 141fa7c2-aa78-4492-b0b9-a9dbf1935d34 · outbound

This paper cites In this section, we state the main result of this paper which g ives the rate of convergence in the Wasserstein distance between the solution to the BSDE (.

Donsker-Type Theorem for BSDEs: Rate of Convergence In this section, we state the main result of this paper which g ives the rate of convergence in the Wasserstein distance between the solution to the BSDE (

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.315497Z

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 e4a95ebe-31cb-457f-b9a9-9774536ead01 · outbound

This paper cites an unresolved cited work.

Donsker-Type Theorem for BSDEs: Rate of Convergence Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:52.199997Z

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 151562da-d0b3-48ff-b730-d1b5f8a9566b · outbound

This paper cites For the following we want to remind the reader of Remark 7.

Donsker-Type Theorem for BSDEs: Rate of Convergence For the following we want to remind the reader of Remark 7

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.305014Z

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 b10f6c77-3e36-4591-bba5-a7c935bb55e9 · outbound

This paper cites El Karoui, S.

Donsker-Type Theorem for BSDEs: Rate of Convergence El Karoui, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.178862Z

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 24632707-1efb-4abf-881e-f6a783366555 · outbound

This paper cites Mean square rate of convergence for random walk approximation of forward-backward SDEs.

Donsker-Type Theorem for BSDEs: Rate of Convergence Mean square rate of convergence for random walk approximation of forward-backward SDEs

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:36:52.055617Z

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 d7da14b0-35d9-4654-8a3e-d833ec3496b5 · outbound

This paper cites Random walk approximation of BSDEs with H{\"o}lder continuous terminal condition.

Donsker-Type Theorem for BSDEs: Rate of Convergence Random walk approximation of BSDEs with H{\"o}lder continuous terminal condition

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:36:52.037311Z

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 1e49ba82-0f21-4507-8ca1-6e7ae55ead00 · outbound

This paper cites Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs.

Donsker-Type Theorem for BSDEs: Rate of Convergence Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T15:36:52.017449Z

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 2c056456-272b-4ed5-9eb1-7c987df10a81 · outbound

This paper cites an unresolved cited work.

Donsker-Type Theorem for BSDEs: Rate of Convergence Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:52.261615Z

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 45156259-f43e-45ae-987a-3988ce51204c · outbound

This paper cites In view of the regularity of f in time, we have ⏐ ⏐ ⏐ ⏐ ⏐E [ ∫ T t ( f ( s, Θ n,t,x s ) −f ( s, Θ n,t,x s )) ds ] ⏐ ⏐ ⏐ ⏐ ⏐ ≤Cn −α.

Donsker-Type Theorem for BSDEs: Rate of Convergence In view of the regularity of f in time, we have ⏐ ⏐ ⏐ ⏐ ⏐E [ ∫ T t ( f ( s, Θ n,t,x s ) −f ( s, Θ n,t,x s )) ds ] ⏐ ⏐ ⏐ ⏐ ⏐ ≤Cn −α

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.283299Z

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 7f5ebe80-cbc2-4b05-a75f-3920b993ac0b · outbound

This paper cites Ambrosio, N.

Donsker-Type Theorem for BSDEs: Rate of Convergence Ambrosio, N

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.251454Z

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 215fa563-506e-4e75-b813-4861e7090d2d · outbound

This paper cites Bismut, Théorie probabiliste du contrôle des diﬀusions , Mem.

Donsker-Type Theorem for BSDEs: Rate of Convergence Bismut, Théorie probabiliste du contrôle des diﬀusions , Mem

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.241212Z

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 bbe3b8ed-945e-4533-9186-206eb63f8083 · outbound

This paper cites Bouchard and N.

Donsker-Type Theorem for BSDEs: Rate of Convergence Bouchard and N

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.230915Z

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 4a5f62a5-e70b-4890-8464-2562762dc367 · outbound

This paper cites Briand, B.

Donsker-Type Theorem for BSDEs: Rate of Convergence Briand, B

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.221296Z

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 ac700160-5d96-4a63-9a8e-3ddc309a025a · outbound

This paper cites With this notation in hand, we have, taking into account (.

Donsker-Type Theorem for BSDEs: Rate of Convergence With this notation in hand, we have, taking into account (

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.293931Z

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 9fb6dd3a-d8ab-4b52-aa04-46abba10f62f · outbound

This paper cites Briand, B.

Donsker-Type Theorem for BSDEs: Rate of Convergence Briand, B

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.210246Z

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 66619251-0c51-4131-88a7-6b4e86bcc44c · outbound

This paper cites Jacod and A.

Donsker-Type Theorem for BSDEs: Rate of Convergence Jacod and A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.189720Z

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 37961299-1d8b-46ea-b1b1-be688e6ffff3 · outbound

This paper cites Choosing f (x) = x in ( 21), this implies the ﬁrst result.

Donsker-Type Theorem for BSDEs: Rate of Convergence Choosing f (x) = x in ( 21), this implies the ﬁrst result

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.336410Z

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 666dedce-d908-47d2-b14f-c189ef3a4e1b · outbound

This paper cites Henry, Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics 840, Springer, 1981.

Donsker-Type Theorem for BSDEs: Rate of Convergence Henry, Geometric theory of semilinear parabolic equations, Lecture Notes in Mathematics 840, Springer, 1981

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.168434Z

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 8ce069ea-dfc7-4e6c-bdd0-36cdd43c9489 · outbound

This paper cites Ma and J.

Donsker-Type Theorem for BSDEs: Rate of Convergence Ma and J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.156739Z

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 32d7f7ae-4064-4a98-a658-db5d077baf2d · outbound

This paper cites Pardoux and S.

Donsker-Type Theorem for BSDEs: Rate of Convergence Pardoux and S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.142627Z

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 dedca830-b999-4554-a3b1-9974b4348950 · outbound

This paper cites Rio, Upper bounds for minimal distances in the central limit theo rem, Ann.

Donsker-Type Theorem for BSDEs: Rate of Convergence Rio, Upper bounds for minimal distances in the central limit theo rem, Ann

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.129480Z

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 7667b0ea-c9f5-43cd-ba4f-174ac66cd3e8 · outbound

This paper cites an unresolved cited work.

Donsker-Type Theorem for BSDEs: Rate of Convergence Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:52.116037Z

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 7aa7ac08-b8d7-4c3a-bdfd-637c14846743 · outbound

This paper cites Walsh, The rate of convergence of the binomial tree scheme , Finance Stoch.

Donsker-Type Theorem for BSDEs: Rate of Convergence Walsh, The rate of convergence of the binomial tree scheme , Finance Stoch

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.103096Z

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 549688b8-9472-4c8b-896b-da599f2cb614 · outbound

This paper cites Zhang, A numerical scheme for BSDEs , Ann.

Donsker-Type Theorem for BSDEs: Rate of Convergence Zhang, A numerical scheme for BSDEs , Ann

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.093169Z

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 a76ebac5-9410-407d-bb86-f610f4709aa8 · outbound

This paper cites an unresolved cited work.

Donsker-Type Theorem for BSDEs: Rate of Convergence Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:52.082713Z

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 94797986-158f-4d98-b683-b735643fd6b9 · outbound

This paper cites 19 Since (t −t) = (t −t) ε 2 (t −t)1− ε 2 ≤h ε 2 (s −t)1− ε 2 and the same upper bound holds for s −s (since s −s ≤h ≤s −t), we get H1(s) ≤ C√ T −s h ε 2 (s −t)(1−ε )/ 2(s −t) ε 2.

Donsker-Type Theorem for BSDEs: Rate of Convergence 19 Since (t −t) = (t −t) ε 2 (t −t)1− ε 2 ≤h ε 2 (s −t)1− ε 2 and the same upper bound holds for s −s (since s −s ≤h ≤s −t), we get H1(s) ≤ C√ T −s h ε 2 (s −t)(1−ε )/ 2(s −t) ε 2

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:36:52.272200Z

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 c6d7eb79-fbf0-4081-8a49-3ce4abb6dafb · outbound

This paper cites an unresolved cited work.

Donsker-Type Theorem for BSDEs: Rate of Convergence Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:36:52.072380Z

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.

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