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Paper Citation Record · LEDGER

Asymptotic behavior of the generalized Derrida-Retaux recursive model

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2411.13068.

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

pith.paper-citation-record.v1
2411.13068 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:18:12.344114Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:01:32.150544Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T18:01:32.182648Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c4aa104-cb20-4802-8568-20c1716fd0ca · outbound

This paper cites and Bandyopadhyay, A.: A survey of max-type recursive distributional equations.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Bandyopadhyay, A.: A survey of max-type recursive distributional equations

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.577695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.280272Z digest=sha256:2646548037aac8ce3ae6e0c48d04a12992b579f9291f8559bf15027deeac957b

Observation a9024ee3-d744-4333-a624-024aff5acf4a · outbound

This paper cites The Derrida-Retaux model on a geometric Galton-Watson tree.

Asymptotic behavior of the generalized Derrida-Retaux recursive model The Derrida-Retaux model on a geometric Galton-Watson tree

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-12T17:18:12.422752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.284903Z digest=sha256:ca74eaff440286bc8298719a56441e4d7188e21f0219eb0ab0e4e663051f7a36

Observation 49097c54-5b52-4790-8556-db4c520c178a · outbound

This paper cites Infinite differentiability of the free energy for a Derrida-Retaux system.

Asymptotic behavior of the generalized Derrida-Retaux recursive model Infinite differentiability of the free energy for a Derrida-Retaux system

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T17:18:12.289388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T17:18:12.289388Z digest=sha256:46614ae59520f86e91237bfedb637a7f02d673666e262bbbb46220b2c010c63b

Observation 440d30af-fc47-4e61-88a2-e3c41e2ea56d · outbound

This paper cites and Shi, Z.: Derrida–Retaux conjecture on recursive models.Ann.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Shi, Z.: Derrida–Retaux conjecture on recursive models.Ann

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.566836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.293998Z digest=sha256:02b625490f448b02ce9fb6317c02835d9e2b6e8e2a1f1b4a23737b0d0b4c987f

Observation f385a79b-4675-4527-af20-a91d82fb754b · outbound

This paper cites and Shi, Z.:A max-type recursive model: Some properties and open questions.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Shi, Z.:A max-type recursive model: Some properties and open questions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.554592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.298460Z digest=sha256:f9c1c7dfb08ee264b0ab59b51709ed85424e53bc6934890ec649ac039c9ae74e

Observation e45f7a3b-278f-436a-aa5e-ee72924105ab · outbound

This paper cites and Shi, Z.: The sustainability probability for the critical Derrida–Retaux model.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Shi, Z.: The sustainability probability for the critical Derrida–Retaux model

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.542548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.303435Z digest=sha256:db140f17a93180a913f22e9ce0a681a40ad9903863ec244d1aa238c0c7fbe2c3

Observation bd4d585e-1dde-452b-ab85-1c7f09e45c8f · outbound

This paper cites and Martin, A.: A spin glass with random couplings.J.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Martin, A.: A spin glass with random couplings.J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.530401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.309043Z digest=sha256:d651ffd0d1501f133f190b5653da01298d8e804179c98bc026266b8268a12fdd

Observation 29143e06-6487-474a-bcac-6f46fe3d66cc · outbound

This paper cites and Martin, A.: Study of the iterations of a mapping associated to a spin-glass model.Commun.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Martin, A.: Study of the iterations of a mapping associated to a spin-glass model.Commun

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.516969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.313037Z digest=sha256:c88390baf2dd7d8014938de20410df395f19833f4ea98be7f1edf391a460c68c

Observation cc71af4c-af11-491a-9a37-e7122ae402c4 · outbound

This paper cites and Hénard, O.: The phase transition for parking on Galton–Watson trees.Discrete Anal.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Hénard, O.: The phase transition for parking on Galton–Watson trees.Discrete Anal

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.504793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.317884Z digest=sha256:3087fe45b78dd04187bb56e920a9785f7601262611198006ddfba62ea302dbe2

Observation 535f2c59-da92-40c8-9fe3-8f079d89b356 · outbound

This paper cites an unresolved cited work.

Asymptotic behavior of the generalized Derrida-Retaux recursive model Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T17:18:12.491192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.322387Z digest=sha256:ffa2f83a04fa0fe739bf8d2a94a47db1a8c672d245f567791c143f51428da918

Observation b3ff6767-0f98-4340-8566-e87a9283e1b0 · outbound

This paper cites and Przykucki, M.: Parking on a random tree.Comb.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Przykucki, M.: Parking on a random tree.Comb

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.479562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.326921Z digest=sha256:2e2e14a049b540786fadfa54091a0b1c7b0cb71b0d58fd3cb7c75c4012ba65c6

Observation 2b1295fe-9cef-4a2b-9cfc-8571832cae61 · outbound

This paper cites and Pain, M.: An exactly solvable continuous-time Derrida–Retaux model, Commun.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Pain, M.: An exactly solvable continuous-time Derrida–Retaux model, Commun

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.466442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.331357Z digest=sha256:1977e0ee191a8d3d261f20248bb13d1ca8330cbd0aa2ce3f48da7334c0e654e4

Observation 24f228a2-9616-4889-9eaa-3fd91dd66562 · outbound

This paper cites and Shi, Z.: The free energy in the Derrida–Retaux recursive model.J.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Shi, Z.: The free energy in the Derrida–Retaux recursive model.J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.451913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.335918Z digest=sha256:7e03257ce69d6241a792dd179a0ed7da06339de4166b75547ffed75415e8b3eb

Observation 482942ba-8308-40d5-aaaa-cffb937aad0d · outbound

This paper cites and Rogers, T.D.: Asymptotic behavior for iterated functions of random variables.

Asymptotic behavior of the generalized Derrida-Retaux recursive model and Rogers, T.D.: Asymptotic behavior for iterated functions of random variables

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:18:12.437145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.339876Z digest=sha256:ae151b331b76a84818d5c618cdc37e8cec11880961ab038ea3f7dbb06464c686

Observation eaea6661-8f72-4070-ae64-c81dfcbede4d · outbound

This paper cites Derrida-Retaux type models and related scaling limit theorems.

Asymptotic behavior of the generalized Derrida-Retaux recursive model Derrida-Retaux type models and related scaling limit theorems

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-12T17:18:12.383887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T17:18:12.344114Z digest=sha256:d7271229ad20bb633ca119ddc2f7e119d9a71f257e42fc03ab320dccf2097977

Pith citing papers

Observation 93c21144-ba3c-4c4c-a983-b9f55dca9265 · inbound

Derrida-Retaux type models and related scaling limit theorems cites this paper.

Derrida-Retaux type models and related scaling limit theorems Asymptotic behavior of the generalized Derrida-Retaux recursive model

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:01:32.188886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T18:01:32.150544Z digest=sha256:53e5afbff69fe36afb65efbc408f591d9ac8ca18b831302ba4741ed6dec4b852