Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:39:52.469043Z
Paper Citation Record · LEDGER
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions
As of 9 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.01805.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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
15 of 15 outbound references displayed
- verified exact0
- verified fuzzy15
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 313a03c2-bd15-411a-9ae4-4620a1242209 · outbound
This paper cites Entropy, pressure and a variational principle for random dynam- ical systems.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Entropy, pressure and a variational principle for random dynam- ical systems
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:21.610132Z
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 b6ce1a39-4515-4d59-8996-8ec8a36ae3ff · outbound
This paper cites The individual ergodic Theorem of information theory.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions The individual ergodic Theorem of information theory
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:12.198049Z
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 1b1597f2-4d9a-46e2-b33e-c46a517151b2 · outbound
This paper cites A note on the ergodic theorem of information theory.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions A note on the ergodic theorem of information theory
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:12.097651Z
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 fb7d6a04-7e25-4aca-a9dc-b306e4bb6512 · outbound
This paper cites A mathematical theory of communication.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions A mathematical theory of communication
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:12.026646Z
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 939adbfc-299c-42f5-be39-1705ba6c91f0 · outbound
This paper cites Local entropy theory of a random dynamical system.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Local entropy theory of a random dynamical system
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:11.979894Z
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 fe588f40-a4a8-4dfa-98d3-c4a5121fe18f · outbound
This paper cites Real analysis and probability, Cambridge Studies in Advanced Mathematics, vol.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Real analysis and probability, Cambridge Studies in Advanced Mathematics, vol
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:11.886006Z
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 37b3310f-e524-4b7f-8c3a-50dd31b62f04 · outbound
This paper cites Ergodic theory: independence and dichotomies.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Ergodic theory: independence and dichotomies
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:11.702178Z
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 9efeb6c6-ba4c-4dbd-87a5-157c66bfdaff · outbound
This paper cites Lyapunov exponents, entropy and periodic orbits for diffeomorphisms.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:10.032750Z
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 df3585c2-6913-4ab2-aebd-610e0b336aa4 · outbound
This paper cites Pointwise theorems for amenable groups.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Pointwise theorems for amenable groups
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:09.909232Z
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 84dffc72-2028-45d5-806c-24e5a1fcca5b · outbound
This paper cites The basic theorems of information theory.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions The basic theorems of information theory
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:09.779102Z
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 30ab75f9-c4b5-4887-b56f-935c3cec9f18 · outbound
This paper cites The Shannon-McMillan-Breiman theorem for a class of amenable groups.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions The Shannon-McMillan-Breiman theorem for a class of amenable groups
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:09.314291Z
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 612d857a-66f8-435b-a694-8c8a278e4957 · outbound
This paper cites Topics in Ergodic Theory(Cambridge University Press, 1981).
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Topics in Ergodic Theory(Cambridge University Press, 1981)
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:40:07.104193Z
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 73bee32a-1722-41eb-b38d-4d36fd1e7dd8 · outbound
This paper cites Actions of amenable groups.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Actions of amenable groups
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:39:53.214423Z
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 1acb2a33-999e-4a1d-9fa9-823ac8969daf · outbound
This paper cites Topological entropy of sets of generic points for actions of amenable groups.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions Topological entropy of sets of generic points for actions of amenable groups
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:39:53.019198Z
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 1c3644d6-1bea-473c-9037-885491846d9b · outbound
This paper cites On local entropy of random transformations.
The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions On local entropy of random transformations
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:39:52.772885Z
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.