Paper Citation Record · LEDGER

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles

As of 9 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.01569.

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

pith.paper-citation-record.v1
2608.01569 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:16:20.333730Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

verified exact2
verified fuzzy14
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e9ac6713-2756-461c-b6c2-94a95a58a1cf · outbound

This paper cites Amorim, M.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Amorim, M

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-07T00:16:20.941713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2479cfc8-8500-4c98-bd69-e89e5d59a8dd · outbound

This paper cites Continuity of the Lyapunov exponents of random matrix products.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Continuity of the Lyapunov exponents of random matrix products

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T00:16:19.584888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0220c7df-bb01-4096-a037-89bde7aa1eb7 · outbound

This paper cites Avila, S.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Avila, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:23.664751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 164edcde-b372-47c7-b317-3c66f4ef6451 · outbound

This paper cites an unresolved cited work.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:16:23.286810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 476568cb-b6cf-4bf7-bf38-d50215c1b917 · outbound

This paper cites Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Analyticity of the Lyapunov exponents of random products of quasi-periodic cocycles

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T00:16:19.732960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 727dda72-2130-4475-85b9-7bd72598f883 · outbound

This paper cites Bocker-Neto and M.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Bocker-Neto and M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:23.104753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation eed53f26-77f9-4c95-a316-d54685dcd681 · outbound

This paper cites an unresolved cited work.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:16:22.833344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 526fa3fb-ea03-490a-996d-2bff4181af0f · outbound

This paper cites an unresolved cited work.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:16:22.625343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c16f5d8b-0ed1-4d94-a6b9-1d8a660a0225 · outbound

This paper cites Duarte and S.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Duarte and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:22.465283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e20f8a2a-68ca-45e1-97a4-53e379be5534 · outbound

This paper cites Duarte and S.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Duarte and S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:22.249139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ad664292-bb84-4ea3-871f-a30ec97f27f7 · outbound

This paper cites Furstenberg and Y.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Furstenberg and Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:22.162525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d6df625c-7a0f-4d89-8125-6b41bb097c03 · outbound

This paper cites Furstenberg, Noncommuting random products,Trans.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Furstenberg, Noncommuting random products,Trans

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:22.055585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e0347aef-6247-4f37-9fe8-91b076d1e86b · outbound

This paper cites Hennion, Loi des grands nombres et perturbations pour des produits réductibles de matrices aléatoires indépendantes,Z.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Hennion, Loi des grands nombres et perturbations pour des produits réductibles de matrices aléatoires indépendantes,Z

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:21.965859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d7ea51fc-e4a3-4029-9fe2-dda01e1daafe · outbound

This paper cites Kifer,Ergodic Theory of Random Transformations, Progress in Probability and Statistics, vol.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Kifer,Ergodic Theory of Random Transformations, Progress in Probability and Statistics, vol

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:21.825010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7a29eba4-657b-41c3-865d-549a48df9854 · outbound

This paper cites Le Page, Régularité du plus grand exposant caractéristique des produits de matrices aléatoires indépen- dantes et applications,Ann.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Le Page, Régularité du plus grand exposant caractéristique des produits de matrices aléatoires indépen- dantes et applications,Ann

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:21.719373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0a7f3594-a470-46f5-b293-a86fc26a7b10 · outbound

This paper cites Malheiro and M.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Malheiro and M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:21.634803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 74381969-4272-4f26-8ae6-da0c31af0718 · outbound

This paper cites Peres, Analytic dependence of Lyapunov exponents on transition probabilities, inLyapunov Exponents (Oberwolfach, 1990), Lecture Notes in Math.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Peres, Analytic dependence of Lyapunov exponents on transition probabilities, inLyapunov Exponents (Oberwolfach, 1990), Lecture Notes in Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:21.544749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 06faa8bd-18bf-47ab-81c1-7d82b71637d3 · outbound

This paper cites Ruelle, Analyticity properties of the characteristic exponents of random matrix products,Adv.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Ruelle, Analyticity properties of the characteristic exponents of random matrix products,Adv

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:21.402732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 58b9b8ed-e842-44bf-9c40-db925aec0724 · outbound

This paper cites Lyapunov exponents of probability distributions with non-compact support.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Lyapunov exponents of probability distributions with non-compact support

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:16:20.504757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a77378c3-8c63-46c5-b5d2-5eba14a26af0 · outbound

This paper cites an unresolved cited work.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:16:21.284753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dd057e1c-9c14-4e2a-bdca-f311190de1dc · outbound

This paper cites C de Araújo,Hölder Regularity of the Largest Lyapunov Exponent for Products of Random Matrices with a Low-Dimensional Equator, Ph.D.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles C de Araújo,Hölder Regularity of the Largest Lyapunov Exponent for Products of Random Matrices with a Low-Dimensional Equator, Ph.D

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:21.174761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4936f2d5-6853-463e-996b-5ec1f0c31094 · outbound

This paper cites Duarte and S.

Analyticity of Lyapunov Exponents for Mixed Markov Quasi-Periodic Cocycles Duarte and S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:16:21.065099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.