Paper Citation Record · LEDGER

The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions

As of 8 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.

pith.paper-citation-record.v1
2506.01805 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:39:52.469043Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.