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Paper Citation Record · LEDGER

On fast Lyapunov spectra for Markov-R\'{e}nyi maps

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2506.16291.

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

pith.paper-citation-record.v1
2506.16291 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:57:35.632123Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy26
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d7404094-8d84-4f64-83a2-1edd171700e3 · outbound

This paper cites Adler and L.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Adler and L

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.990404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.524286Z digest=sha256:dea28ce84f462bc37c2aea302484df0961d42f8c59ffbc0bee0cf7faf7ed278f

Observation d33febff-5ac3-41f9-8cac-dec18fecc4ce · outbound

This paper cites Barreira and B.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Barreira and B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.980454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.528866Z digest=sha256:32df2f9b6d44e253e0ee76b5cc970f65798f347842f4a5f238ce6e988d34134a

Observation 43ffcaf8-9735-4fbe-bbc9-93de34698e94 · outbound

This paper cites Bjorklund and M.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Bjorklund and M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.970791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.532442Z digest=sha256:4625ac7ea88dddf7022b021f94b875e08a36156ca9c23239f7c2bb7e84831966

Observation 17434c22-45c9-495a-909d-e6c7ed42d952 · outbound

This paper cites Climenhaga,The thermodynamic approach to multifractal analysis, Ergodic Theory Dynam.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Climenhaga,The thermodynamic approach to multifractal analysis, Ergodic Theory Dynam

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.960661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.537171Z digest=sha256:96aee801325deda21629c3f9cc8cf774980c0df202fb40ad8f69be78bb7b38a1

Observation de0b7f77-d373-41a6-8d76-4a07be2f1b4c · outbound

This paper cites Falconer,Fractal Geometry: Mathematical Foundations and Applications, John Wiley & Sons, Chich- ester, 1990.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Falconer,Fractal Geometry: Mathematical Foundations and Applications, John Wiley & Sons, Chich- ester, 1990

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.949991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.540839Z digest=sha256:8e376700c1682fe535d7aba50da4d89c8bf0a2061dac6503b09155d91f7664d2

Observation 6580601b-2e9b-4c4e-9cb0-7d332bcc6a53 · outbound

This paper cites an unresolved cited work.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:57:35.939106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.545531Z digest=sha256:8b07b7326905022e13e63438065930812e09a119dd9411bf0d0e4f35eb1612cb

Observation 53c657d4-7ba7-47cf-836c-97bc38bc3cbf · outbound

This paper cites an unresolved cited work.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:57:35.929230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.549434Z digest=sha256:093ab7c19c724a016ddff2dc02a11f6a2ee46f8be49d563269eb7cc990905876

Observation 521832e3-5bf7-4315-87e3-3c42121ff191 · outbound

This paper cites an unresolved cited work.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:57:35.918465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.552721Z digest=sha256:1533150f2b513cbc1ec0a70c92fb795f0c0a3efbb7b6cd7eb7f03edb510e1207

Observation f54f3ccd-9de8-4a42-b314-0e8189b336c3 · outbound

This paper cites an unresolved cited work.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:57:35.908573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.556300Z digest=sha256:0024e9172efc4ffb0580b3a1a68ced872f4a387911fdcec5ce62fa336caf679b

Observation fb8210d6-56f3-4c9f-aa85-9385ea00d003 · outbound

This paper cites Feng, K.-S.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Feng, K.-S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.897064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.559649Z digest=sha256:ea295df90a55980005fcd777df1d667efd43abc38be3228e32b00fe38af1c7ae

Observation 636a6ee8-7458-471f-8b98-7d24d172a36f · outbound

This paper cites Gelfert and M.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Gelfert and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.885670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.562750Z digest=sha256:8575319d43bb203ea50d5a05b8d3cf520d73ed26b62ee8f474f04ad2774c345c

Observation b5612819-b67a-44c1-9921-2df96cd086b5 · outbound

This paper cites Gelfert and M.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Gelfert and M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.874131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.565883Z digest=sha256:8ad3447ac6eaba9e0ecb58311f475af1a9a86bc1efe9e3333d875f6dfa97f6b9

Observation c66d7f7d-5fd5-48d0-aa4b-f92b8575a692 · outbound

This paper cites Gr¨ ochenig and A.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Gr¨ ochenig and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.863741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.569069Z digest=sha256:900734dff3930af2d40b26cee4ca8cf52a35bd1153ec010d9bde39b2d5115a39

Observation f154dba4-efed-4307-bbaf-05fc18a42ed0 · outbound

This paper cites Iommi,Multifractal analysis of the Lyapunov exponent for the backward continued fraction map, Ergodic Theory Dynam.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Iommi,Multifractal analysis of the Lyapunov exponent for the backward continued fraction map, Ergodic Theory Dynam

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.853829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.572964Z digest=sha256:7e79b08aa63037e00c4e37db34f480f59dd34e47f69cd8dcda877ea1cc5dc24a

Observation d59335bf-3e26-41d8-be41-66c3edff15ee · outbound

This paper cites Iommi and T.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Iommi and T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.843543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.576074Z digest=sha256:121fceb7b22387911ee808019de3bb14cdc5edd21ba396a748d33095a748e77a

Observation caef7563-e768-4a0d-a90a-013b50d036b2 · outbound

This paper cites Jaerisch and H.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Jaerisch and H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.832848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.579158Z digest=sha256:2e56e022970f1ad4f9e4957e615d4ccfcd31ec1132abbd37c91bb22a5b7663a2

Observation 1dd8f070-f8d1-4407-9f0f-eda17d53782f · outbound

This paper cites Johansson, T.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Johansson, T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.822575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.582212Z digest=sha256:410528cd033b3dd33fe07a91e6f52c0ab11d39705b56020e2c4a26fafe2cbbd9

Observation bbd328f3-82f7-41a6-99d7-576ea71b649d · outbound

This paper cites Kesseb¨ ohmer, S.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Kesseb¨ ohmer, S

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.812248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.585225Z digest=sha256:b1b046aba8bb552429a573cc3b840a5e0cdc65f828d75b25a3df60310d8442dc

Observation 7c9fb8cc-e612-49c7-b399-268c7433c97b · outbound

This paper cites Kesseb¨ ohmer and B.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Kesseb¨ ohmer and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.802120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.588896Z digest=sha256:b4f3e12d802479ce3693126715ee8986add2b39baccdb996b5ad1ac21b0e1337

Observation a4783990-5027-403c-a937-ca29154be1a4 · outbound

This paper cites an unresolved cited work.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T23:57:35.791512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.592252Z digest=sha256:aec488aef30a780681309ded97adac5d9207f3541e20699ffe51f3ebca84be6e

Observation 098f62e2-2dfb-4879-916d-7109182273c4 · outbound

This paper cites Mauldin, and M.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Mauldin, and M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.780973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.595586Z digest=sha256:aa2fd8c7928d1e05570e0c34d91670313b36ad44411422d7894ee15fea2f62b2

Observation 10f05786-7cfe-4fb6-8bc6-ead11b79d525 · outbound

This paper cites Nakaishi,Multifractal formalism for some parabolic maps, Ergodic Theory Dynam.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Nakaishi,Multifractal formalism for some parabolic maps, Ergodic Theory Dynam

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.770751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.599667Z digest=sha256:eaddf71865e075bd1df810ae22fe885742cc0a789766aaf2182026ad2f3bde59

Observation effabd6c-f756-4100-bf5f-b7c1a7041799 · outbound

This paper cites Pesin and H.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Pesin and H

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.760338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.603113Z digest=sha256:5244f70721ff2a7473508b70762e501ce72f908fd5d90ff731c9d1b4865fb562

Observation d9f25e9a-0b24-49ba-8973-e1a1831d5995 · outbound

This paper cites Pfister and W.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Pfister and W

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.749271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.606925Z digest=sha256:20ff129c499b36b0e91511eaf31a500ca972eff4ea14ab26211d26f561e2269e

Observation 76bc0f8c-f39d-40b3-a49e-7c9d2408fb1e · outbound

This paper cites Pollicott and H.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Pollicott and H

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.738576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.610468Z digest=sha256:2ebe0a74e2631d59562351aa2759a10fade04de821dc596a0d69096048991c8f

Observation 129eac99-a70b-4b6e-8c4d-f5963032c8cb · outbound

This paper cites R´ enyi,On algorithms for the generation of real numbers, Magyar Tud.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps R´ enyi,On algorithms for the generation of real numbers, Magyar Tud

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.726133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.614038Z digest=sha256:141d4567957e777d1ed2790f20880911d6e186d38d27785a848f450a422a6f91

Observation ab54448f-53f7-4f6b-b5ea-b88163289dfc · outbound

This paper cites Rush,Multifractal analysis for Markov interval maps with countably many branches, Nonlinearity 36 (2023), 2038–2073.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Rush,Multifractal analysis for Markov interval maps with countably many branches, Nonlinearity 36 (2023), 2038–2073

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.714771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.617844Z digest=sha256:f463adc6ba8f8451244fb63cfa7e2cc51ff6346c0fe73969f9e6937663f0c9e4

Observation 8d8574fc-24d6-4b81-b91f-b4ca7e84db7d · outbound

This paper cites Sarig,Lecture Notes on Thermodynamic Formalism for Topological Markov Shifts, Penn State, 2009.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Sarig,Lecture Notes on Thermodynamic Formalism for Topological Markov Shifts, Penn State, 2009

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.703199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.621179Z digest=sha256:9533455d0784497cb6c5c14b1005efe432863ee12244dd39eba170470058e5e1

Observation c9973e93-313b-414f-9030-549494a51720 · outbound

This paper cites Takahasi,Large deviation principle for the backward continued fraction expansion, Stochastic Process.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Takahasi,Large deviation principle for the backward continued fraction expansion, Stochastic Process

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.690831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.624548Z digest=sha256:112e59fb10d785242ac56dabc3031271639eab3bd78bce58b3472447aa271785

Observation ffec1323-7a53-4e01-9d05-95c905929518 · outbound

This paper cites Takens and E.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Takens and E

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.678852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.628879Z digest=sha256:c0aaf34a0a53356f9891fbe86975eb83baa6564a57d6a000479bf9f56738f741

Observation 84cb83ee-e1ce-4ecd-8da7-88fdcd501d93 · outbound

This paper cites Weiss.The Lyapunov spectrum for conformal expanding maps and axiom-A surface diffeomorphisms, J.

On fast Lyapunov spectra for Markov-R\'{e}nyi maps Weiss.The Lyapunov spectrum for conformal expanding maps and axiom-A surface diffeomorphisms, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T23:57:35.666904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T23:57:35.632123Z digest=sha256:f3b8213c302f5437a1c987abab2a78f736d6051b3b7c848bb0dc06f8486e1d36

Pith citing papers

No inbound Pith citation observations are available.