Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:34:24.633505Z
Paper Citation Record · LEDGER
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures
As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:1908.00998.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
31 of 31 outbound references displayed
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- verified fuzzy22
- unresolved9
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 313d5cd0-61f7-4c11-a8c1-e3125879bb5f · outbound
This paper cites Pointwise dimensions for Poincar´ e recurrences associated with maps and special flow s.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Pointwise dimensions for Poincar´ e recurrences associated with maps and special flow s
Reference 1
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6723df83-a207-421c-a6f0-4950099f2c64 · outbound
This paper cites Generalized fractal dimensions: equivalences and basic properties.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Generalized fractal dimensions: equivalences and basic properties
Reference 2
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 48621542-9955-40d8-acd9-bfd0cb060a3b · outbound
This paper cites non-typical.
Reference 3
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 31ece8fe-ec9f-4260-803e-e661f2223206 · outbound
This paper cites Entropy for group endomorphisms and homoge neous spaces.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Entropy for group endomorphisms and homoge neous spaces
Reference 4
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 943ddef8-2cf6-4acf-99c5-52102c690eb1 · outbound
This paper cites an unresolved cited work.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Unresolved cited work
Reference 5
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d1feac3b-1198-4945-b2e4-941e67afa4a7 · outbound
This paper cites an unresolved cited work.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Unresolved cited work
Reference 6
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a6c1e686-e21a-4e90-9d33-1e805a74d0ac · outbound
This paper cites an unresolved cited work.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:34:24.923722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 22f8bb5c-54c9-4c0c-85be-4f9dd5e63af0 · outbound
This paper cites Ergodic theory on compact spaces.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Ergodic theory on compact spaces
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.913666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6430689a-90fd-45c7-be8e-0dba46da5267 · outbound
This paper cites Some compact invariant sets for hyperboli c linear automorphisms of torii [tori].
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Some compact invariant sets for hyperboli c linear automorphisms of torii [tori]
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.902996Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 507bfcab-9ae8-4560-9367-f491115e594a · outbound
This paper cites Expansiveness, hyperbolicity and Hausd orff dimension.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Expansiveness, hyperbolicity and Hausd orff dimension
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.891476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 712e3426-2687-4161-9286-cd4ab5832955 · outbound
This paper cites Lyapunov functions and topological st ability.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Lyapunov functions and topological st ability
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.874035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 20c4b16e-b6f9-449f-99c8-d65f1632f309 · outbound
This paper cites D imension of a measure.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures D imension of a measure
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.861850Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 56ed4a0e-3181-4bdc-b872-6c28a2bf1e4d · outbound
This paper cites An introduction to and comparison of three not ions of dimension in metric spaces.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures An introduction to and comparison of three not ions of dimension in metric spaces
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.850362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 75aeed68-09f6-4147-af12-d9f0c636b835 · outbound
This paper cites an unresolved cited work.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Unresolved cited work
Reference 14
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 18451104-d4e6-4e6b-98fa-4aa275df649d · outbound
This paper cites Pesin and A.
Reference 15
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0628aacc-356b-4731-940d-a29c8dab6757 · outbound
This paper cites an unresolved cited work.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Unresolved cited work
Reference 16
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ac684ac0-493e-4b02-ba10-38dccd233001 · outbound
This paper cites an unresolved cited work.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:34:24.810714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 63eaaeca-a212-4550-9e25-a07559e9d561 · outbound
This paper cites an unresolved cited work.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Unresolved cited work
Reference 18
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e9372f0b-c635-42c5-88aa-753ac96cd739 · outbound
This paper cites Ruelle’s inequality in negative curv ature.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Ruelle’s inequality in negative curv ature
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.790196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8684a79a-afd6-47d6-a6d1-09ae726e742d · outbound
This paper cites Pointwise dimensions and R´ enyi dim ensions.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Pointwise dimensions and R´ enyi dim ensions
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.778548Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cc9c2377-7a29-48a6-b9d7-08c25d621318 · outbound
This paper cites Recurrence rate in rapidly mixing dyn amical systems.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Recurrence rate in rapidly mixing dyn amical systems
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.766787Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bce03c76-b7a0-41d5-a7d3-db90bf5c7784 · outbound
This paper cites Generic properties of invariant measure s for Axiom A diffeomorphisms.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Generic properties of invariant measure s for Axiom A diffeomorphisms
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.756070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 602c3876-c84f-4c8a-a25b-d13185a3e69c · outbound
This paper cites On the prevalence of zero entropy.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures On the prevalence of zero entropy
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.745859Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 034cbb2c-5c89-4a4f-8893-9d95f652dd41 · outbound
This paper cites On mixing measures for axiom A diffeomorphi sms.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures On mixing measures for axiom A diffeomorphi sms
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.734512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f0037849-bdb0-4af0-9722-a1cde628d70f · outbound
This paper cites On dynamical systems with the specificati on property.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures On dynamical systems with the specificati on property
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.723683Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4fc50d5e-25f7-419d-bc11-5b98de17ea89 · outbound
This paper cites Correlation dimension.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Correlation dimension
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.714451Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fe48f0a5-0a19-447f-89a6-8f4c8794c361 · outbound
This paper cites Multifractal anal ysis of local entropies for expansive homeomorphisms with specification.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Multifractal anal ysis of local entropies for expansive homeomorphisms with specification
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.704944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 76d76bf5-6e62-43c5-915e-f45f1b2a4bb5 · outbound
This paper cites Generalized entropies in dynamica l systems.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Generalized entropies in dynamica l systems
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:34:24.695369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 68b14c4c-cce5-4617-8da1-3c09be8432dd · outbound
This paper cites An introduction to ergodic theory , volume 79 of Graduate Texts in Mathe- matics.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures An introduction to ergodic theory , volume 79 of Graduate Texts in Mathe- matics
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T15:34:24.626833Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0e9140c-c40e-448d-ba94-886be1ba98a4 · outbound
This paper cites an unresolved cited work.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:34:24.676461Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 49cdbf55-a159-478b-ac2b-de6e42ff1e29 · outbound
This paper cites Dimension, entropy and Lyapunov expone nts.
A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures Dimension, entropy and Lyapunov expone nts
Reference 31
- Resolution
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- raw_fallback, observed 2026-08-14T15:34:24.665362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
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