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Paper Citation Record · LEDGER

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.28614.

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

pith.paper-citation-record.v1
2607.28614 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T02:07:40.048635Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Reference resolution

32 of 32 outbound references displayed

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Outbound references

Observation d583aede-8cf3-4936-8d65-5dcfc3aaab66 · outbound

This paper cites Elephant random walks and their connection to p´ olya-type urns.Physical review.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Elephant random walks and their connection to p´ olya-type urns.Physical review

Reference 1

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source=pdf_text observed=2026-07-31T02:07:39.939256Z digest=sha256:b5b06923707c9c05f777702e2fe1c7151e466c66361964049a45a810079b653a

Observation 3e18583d-be13-48a7-8fec-884efc95c514 · outbound

This paper cites Finite-memory elephant random walk and the central limit theorem for additive functionals.Brazilian Journal of Probability and Statistics, 35(2):242–262, 2021.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Finite-memory elephant random walk and the central limit theorem for additive functionals.Brazilian Journal of Probability and Statistics, 35(2):242–262, 2021

Reference 2

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source=pdf_text observed=2026-07-31T02:07:39.943772Z digest=sha256:34ce2de0a55082fad3fddaa05d52536593d5c1a335d9ffcc840072af35465897

Observation 7ac407b4-d86d-4e07-97a4-b88a61c55f38 · outbound

This paper cites A dynamical system approach to stochastic approximations.SIAM Journal on Control and Optimization, 34(2):437–472, 1996.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice A dynamical system approach to stochastic approximations.SIAM Journal on Control and Optimization, 34(2):437–472, 1996

Reference 3

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source=pdf_text observed=2026-07-31T02:07:39.947261Z digest=sha256:c58c26e98d684fe26e2546f641deb3acce42f21470922303c56d656c8ecec165

Observation 17646d4e-13b5-4156-8064-5e4f5be801f1 · outbound

This paper cites A martingale approach for the elephant random walk.Journal of physics.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice A martingale approach for the elephant random walk.Journal of physics

Reference 4

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source=pdf_text observed=2026-07-31T02:07:39.950840Z digest=sha256:0ed91844a306606e3667b83f5a08a87b76e46f95a36b2dd2f682e34170e5d9a7

Observation 8da8d093-4482-4d3a-9e4e-f277d2460c06 · outbound

This paper cites On the elephant random walk with stops playing hide and seek with the mittag–leffler distribution.Journal of Statistical Physics, 189(1):12, 2022.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice On the elephant random walk with stops playing hide and seek with the mittag–leffler distribution.Journal of Statistical Physics, 189(1):12, 2022

Reference 5

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source=pdf_text observed=2026-07-31T02:07:39.954410Z digest=sha256:ec9b1ea5c29fd75004d155300fd7ad7b628da9d1d8bc6b8392bc765230c7c0a1

Observation bef34041-de36-43ed-9c2c-81266931d7ee · outbound

This paper cites On the multi-dimensional elephant random walk.Journal of statistical physics, 175(6):1146–1163, 2019.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice On the multi-dimensional elephant random walk.Journal of statistical physics, 175(6):1146–1163, 2019

Reference 6

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source=pdf_text observed=2026-07-31T02:07:39.957844Z digest=sha256:a455ee8dc50d6cd6322df2d380283736a3efeef36ca26d2f6456bcd0e860d475

Observation 290b4424-40fd-47f2-8cd6-2663eb8dd56c · outbound

This paper cites Counting the zeros of an elephant random walk.Transactions of the American Mathe- matical Society, 375(8):5539–5560, 2022.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Counting the zeros of an elephant random walk.Transactions of the American Mathe- matical Society, 375(8):5539–5560, 2022

Reference 7

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source=pdf_text observed=2026-07-31T02:07:39.961658Z digest=sha256:2f6193595aa61ae7be0a99f5fd88a45de1dceec20e2acefce8b73e60bea29913

Observation f4102fe0-6956-4bd8-a3e8-9ce8e3806e6b · outbound

This paper cites Billingsley.Probability and measure.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Billingsley.Probability and measure

Reference 8

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source=pdf_text observed=2026-07-31T02:07:39.965525Z digest=sha256:21dc4a316523785f4cf0255587aad13b4a51ce425979138bfb0e0b9d2ec42b24

Observation 5d5c54cc-3a37-4353-b527-4f970af8909e · outbound

This paper cites an unresolved cited work.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Unresolved cited work

Reference 9

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source=pdf_text observed=2026-07-31T02:07:39.968857Z digest=sha256:752d028544bfa07364a3cb89da59afbdd8a3877f79aad1678e0b27059de8ad24

Observation 725e91a6-9e73-4ff6-a64c-bbbf8994e23c · outbound

This paper cites Springer, 2008.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Springer, 2008

Reference 10

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source=pdf_text observed=2026-07-31T02:07:39.972064Z digest=sha256:392cd436765b42cb0cfa035a88d36b6d0df9c4c7514636dfbcaf88fe0abfe952

Observation f2282ef3-fe10-4f5b-8085-a01e7840eef0 · outbound

This paper cites Central limit theorem and related results for the elephant random walk.Journal of mathematical physics, 58(5), 2017.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Central limit theorem and related results for the elephant random walk.Journal of mathematical physics, 58(5), 2017

Reference 11

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source=pdf_text observed=2026-07-31T02:07:39.975520Z digest=sha256:bfd2e478480cfc3ef7dbd0fd890fbd54b52e492e8f9a1f543720864f83580959

Observation 0ad02a70-10aa-4e60-990e-4bae036361a5 · outbound

This paper cites an unresolved cited work.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Unresolved cited work

Reference 12

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source=pdf_text observed=2026-07-31T02:07:39.979058Z digest=sha256:e2ce1a5607073033e546041f6b682b22b3e1f464e0db8de0641492d334e8f123

Observation de723df2-ac09-497a-932d-fddd7ed17ade · outbound

This paper cites da Silva, J.C.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice da Silva, J.C

Reference 13

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source=pdf_text observed=2026-07-31T02:07:39.982938Z digest=sha256:ef0683617c117902f10e94a8082dad0d9c7b2c3b828cfb1256b222d9aa763ea8

Observation 3c9a077d-f335-4a39-a2eb-6faa0ec9db2b · outbound

This paper cites Elephant random walks with graph based shared memory: First and second order asymptotics.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Elephant random walks with graph based shared memory: First and second order asymptotics

Reference 14

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source=pdf_text observed=2026-07-31T02:07:39.987016Z digest=sha256:7ed9eeda6c10c5a0bd053e61d482e7d76b68979e4d4f31a8a286fcbd99941a5c

Observation e51ea1db-8757-4cbf-94c5-61c0c0111f70 · outbound

This paper cites Freedman.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Freedman

Reference 15

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source=pdf_text observed=2026-07-31T02:07:39.991457Z digest=sha256:9a98217cc313be3b55da6b836c4a55fca3571196a9c7f9bbd9c02f7a7f6b2640

Observation 896748a5-ed76-4d69-9e8f-2afe01be0a6f · outbound

This paper cites Reinforced random walks under memory lapses.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Reinforced random walks under memory lapses

Reference 16

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source=pdf_text observed=2026-07-31T02:07:39.994801Z digest=sha256:068c21b16099ec8c6853c0a6f52e0a6e35f3f132b00377a17f6ec26e0f4f2aae

Observation 61beba25-7428-43d6-a0fa-6ad83575c7e7 · outbound

This paper cites A fixed-point equation approach for the superdiffusive elephant random walk.Annales de l’Institut Henri Poincar´ e, Probabilit´ es et Statistiques, 62(2):973 – 1005, 2026.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice A fixed-point equation approach for the superdiffusive elephant random walk.Annales de l’Institut Henri Poincar´ e, Probabilit´ es et Statistiques, 62(2):973 – 1005, 2026

Reference 17

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source=pdf_text observed=2026-07-31T02:07:39.997778Z digest=sha256:28e56e8a3c36b89df8b417fd8564fbcf2ce5adc0b72c57a6ca9b3f3f0c02564f

Observation 09446dea-10f8-43ce-a634-2b245551649e · outbound

This paper cites Elephant random walks; a review.Ann.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Elephant random walks; a review.Ann

Reference 18

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source=pdf_text observed=2026-07-31T02:07:40.000875Z digest=sha256:f2af86712f3b1508188c82c96681da9c38ee1fcd5d78a00de71a3400206175c8

Observation cc3d2ce0-d9bf-46c4-8764-b93c1491fbe3 · outbound

This paper cites Variations of the elephant random walk.Journal of applied proba- bility, 58(3):805–829, 2021.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Variations of the elephant random walk.Journal of applied proba- bility, 58(3):805–829, 2021

Reference 19

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source=pdf_text observed=2026-07-31T02:07:40.004087Z digest=sha256:a690cdcae6e42f21cb774c63090e174baedf1790fcf3d8e0b0d4b47c0a2b334f

Observation 221dde77-28be-48b6-8363-07c2d041fe31 · outbound

This paper cites The elephant random walk with gradually increasing memory.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice The elephant random walk with gradually increasing memory

Reference 20

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source=pdf_text observed=2026-07-31T02:07:40.008189Z digest=sha256:f5e34ae90de29eaf865b44eb17134b4c938911bb59c10d2f30e2bfea5d11c9f5

Observation 549652ec-eb67-4df0-9b66-e2acd867ef88 · outbound

This paper cites On the limit law of the superdiffusive elephant random walk.Electronic journal of probability, 30(none), 2025.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice On the limit law of the superdiffusive elephant random walk.Electronic journal of probability, 30(none), 2025

Reference 21

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source=pdf_text observed=2026-07-31T02:07:40.011460Z digest=sha256:3689d346d329d94eec36a7182ec4f5552df0b80bf647df486ef062786fb602c7

Observation c3482211-757b-4f79-8e16-ee357752393c · outbound

This paper cites Functional limit theorems for multitype branching processes and generalized p´ olya urns.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Functional limit theorems for multitype branching processes and generalized p´ olya urns

Reference 22

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source=pdf_text observed=2026-07-31T02:07:40.014970Z digest=sha256:a5fdcc53820c5e49be07f45e2eaeb1417f623b47e20d40f20dd45163b67b21ee

Observation 592d7dce-ad60-4a4e-8d90-6e2d784bf1e6 · outbound

This paper cites Springer, 2008.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Springer, 2008

Reference 23

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source=pdf_text observed=2026-07-31T02:07:40.018374Z digest=sha256:41f994134624b39c93815b373b7626b3647b0790dc2284aa253edacf47b54102

Observation c6fa054f-2806-40b1-8a76-e68bc4e6daf4 · outbound

This paper cites Gaussian fluctuation for superdiffusive elephant random walks.Jour- nal of Statistical Physics, 177(6):1157–1171, 2019.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Gaussian fluctuation for superdiffusive elephant random walks.Jour- nal of Statistical Physics, 177(6):1157–1171, 2019

Reference 24

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source=pdf_text observed=2026-07-31T02:07:40.021661Z digest=sha256:2f786983c875b06553e6ef0dd7ed9303177ee8740d4f1f8b6efef054dd806c78

Observation 3a4983e9-6a61-42d1-8819-4763c91eefb5 · outbound

This paper cites Introducing smooth amnesia to the memory of the elephant random walk.Electronic communications in probability, 27, 2022.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Introducing smooth amnesia to the memory of the elephant random walk.Electronic communications in probability, 27, 2022

Reference 25

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source=pdf_text observed=2026-07-31T02:07:40.024913Z digest=sha256:c3fb294a5c2a49046ddedfbd7bfb624170759e46a79d6f391f6fdfa206bc90be

Observation eec7a1ce-6de0-414c-97f8-a81935389599 · outbound

This paper cites Phase Transitions for Elephant Random Walks with Two memory Channels.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Phase Transitions for Elephant Random Walks with Two memory Channels

Reference 26

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source=pdf_text observed=2026-07-31T02:07:40.028037Z digest=sha256:14b49819eadf9d6fa47ac3facb7a902a8edddd0e83cc7cbdb851a2aeb60d3e84

Observation dfde2fdf-5abf-4124-9728-996a03a9b6c8 · outbound

This paper cites Elephant random walks with multiple extractions and general rein- forcement functions.Journal of theoretical probability, 39(1), 2026.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Elephant random walks with multiple extractions and general rein- forcement functions.Journal of theoretical probability, 39(1), 2026

Reference 27

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source=pdf_text observed=2026-07-31T02:07:40.032085Z digest=sha256:3f9f8522b273d1871020f4e1b440b4134290db8b0a36822f97ac9c11a53d7b97

Observation 3b6fcbf6-0120-4ae6-ae71-9f5bf8146614 · outbound

This paper cites Recurrence and transience of multidimensional elephant random walks.The Annals of probability, 53(3), 2025.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Recurrence and transience of multidimensional elephant random walks.The Annals of probability, 53(3), 2025

Reference 28

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source=pdf_text observed=2026-07-31T02:07:40.035491Z digest=sha256:f328ea8b2086f4f1d8bbac38f77628ce1632f04d0dd116acf667b54888d3f786

Observation 98780176-d641-4de4-94f2-98addced3b13 · outbound

This paper cites The elephant random walk in the triangular array setting.Journal of applied probability, 62(3):997–1009, 2025.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice The elephant random walk in the triangular array setting.Journal of applied probability, 62(3):997–1009, 2025

Reference 29

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source=pdf_text observed=2026-07-31T02:07:40.039110Z digest=sha256:73650e91635a7f0b087b8e8674a6cce3500d342553b59ce52e03dcc18f070461

Observation f776e31c-04ab-4187-96c4-f89138235ae3 · outbound

This paper cites Sch¨ utz and Steffen Trimper.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Sch¨ utz and Steffen Trimper

Reference 30

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source=pdf_text observed=2026-07-31T02:07:40.042271Z digest=sha256:70dc53a3f55fe4634882a78d6d36a4cef812cd7bbf05b82dc0511b69bbdd8c3d

Observation 73cf3d27-fb4d-42ad-9e85-780605d3edf9 · outbound

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Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Unresolved cited work

Reference 31

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source=pdf_text observed=2026-07-31T02:07:40.045385Z digest=sha256:6244dc7da6401ece189d4e8f0e4c153e7f8fff7020a3d3703e7bb2c04a9f5665

Observation 2176b7a6-ad20-4e9d-a78f-9275da86abef · outbound

This paper cites Central limit theorems of a recursive stochastic algorithm with applications to adaptive designs.The Annals of applied probability, 26(6):3630–3658, 2016.

Tampered Memory Elephant Random Walk on One-Dimensional Integer Lattice Central limit theorems of a recursive stochastic algorithm with applications to adaptive designs.The Annals of applied probability, 26(6):3630–3658, 2016

Reference 32

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source=pdf_text observed=2026-07-31T02:07:40.048635Z digest=sha256:718020996e0d49888b8baba2b71ca870b72461ef49e10a4181a2addd443d2cc2

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