Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:47:07.474539Z
Paper Citation Record · LEDGER
Counterexamples to double recurrence for non-commuting deterministic transformations
As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2507.15528.
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 2026-08-08T06:32:00.761636+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
23 of 23 outbound references displayed
- verified exact2
- verified fuzzy14
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8f6414f0-bd45-43a2-adfe-ad12241eec8d · outbound
This paper cites an unresolved cited work.
Counterexamples to double recurrence for non-commuting deterministic transformations Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:47:08.199371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 80c17b10-8546-41c9-87fd-127b9f57067a · outbound
This paper cites Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures.
Counterexamples to double recurrence for non-commuting deterministic transformations Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:47:07.258983Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc4b2701-780b-479f-bd7c-44fc1a806993 · outbound
This paper cites Non-convergence of some non-commuting double ergodic averages.
Counterexamples to double recurrence for non-commuting deterministic transformations Non-convergence of some non-commuting double ergodic averages
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:08.175131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5bba4438-af54-4a47-865e-421beee4a0eb · outbound
This paper cites Polynomial F ourier decay for fractal measures and their pushforwards.
Counterexamples to double recurrence for non-commuting deterministic transformations Polynomial F ourier decay for fractal measures and their pushforwards
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:08.146938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation da0b1c96-4079-4e5f-9208-960727e63548 · outbound
This paper cites Bergelson and A.
Counterexamples to double recurrence for non-commuting deterministic transformations Bergelson and A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:08.126258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d4dc9cd9-9c97-4dd1-a354-dabcbba89563 · outbound
This paper cites Bergelson and A.
Counterexamples to double recurrence for non-commuting deterministic transformations Bergelson and A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:08.091088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e788a55a-f68b-4847-9543-2d06fef97e93 · outbound
This paper cites an unresolved cited work.
Counterexamples to double recurrence for non-commuting deterministic transformations Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:47:08.064017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 727dd499-9544-4c52-a518-050cee9b550f · outbound
This paper cites an unresolved cited work.
Counterexamples to double recurrence for non-commuting deterministic transformations Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:47:08.038717Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8edae026-056c-4d65-bb55-6d6113b184b1 · outbound
This paper cites Entropie d'un syst\`eme dynamique gaussien: cas d'une action de Z ^d.
Counterexamples to double recurrence for non-commuting deterministic transformations Entropie d'un syst\`eme dynamique gaussien: cas d'une action de Z ^d
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:08.008331Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b99d9f1b-09c7-4f1e-a553-fe9b97e0ac21 · outbound
This paper cites Multiple recurrence and convergence without commutativity.
Counterexamples to double recurrence for non-commuting deterministic transformations Multiple recurrence and convergence without commutativity
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.979484Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7ad301d2-f5ac-4cde-bdb9-de6f0fdbf0f0 · outbound
This paper cites Furstenberg and Y.
Counterexamples to double recurrence for non-commuting deterministic transformations Furstenberg and Y
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.956960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a1ccf34b-bc65-49ec-95d3-78574c1bac30 · outbound
This paper cites Furstenberg.
Counterexamples to double recurrence for non-commuting deterministic transformations Furstenberg
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.929777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 17bfd034-9f00-4385-8574-e7fcc0e4fbd4 · outbound
This paper cites A counterexample on multiple convergence without commutativity.
Counterexamples to double recurrence for non-commuting deterministic transformations A counterexample on multiple convergence without commutativity
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:47:07.596025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9505c104-04c2-4f91-8012-523ab7715542 · outbound
This paper cites A counterexample on polynomial multiple convergence without commutativity.
Counterexamples to double recurrence for non-commuting deterministic transformations A counterexample on polynomial multiple convergence without commutativity
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.897898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2467ae16-63cc-464e-b1e7-2695537f37ca · outbound
This paper cites Dynamical systems of probabilistic origin: G aussian and P oisson systems.
Counterexamples to double recurrence for non-commuting deterministic transformations Dynamical systems of probabilistic origin: G aussian and P oisson systems
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.868387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 42901abd-b6a9-4a20-a2e5-4d8c35905202 · outbound
This paper cites Fourier transforms of G ibbs measures for the G auss map.
Counterexamples to double recurrence for non-commuting deterministic transformations Fourier transforms of G ibbs measures for the G auss map
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.835388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 32b1006d-9d86-4c6b-a945-b850119bfb24 · outbound
This paper cites an unresolved cited work.
Counterexamples to double recurrence for non-commuting deterministic transformations Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:47:07.808047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e9ba5bc9-a9ab-4b75-90d2-14b1a1903fc5 · outbound
This paper cites an unresolved cited work.
Counterexamples to double recurrence for non-commuting deterministic transformations Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:47:07.777106Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 15d3a9a4-e514-4351-a76b-7c85cb73fc91 · outbound
This paper cites Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages, 2024.
Counterexamples to double recurrence for non-commuting deterministic transformations Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages, 2024
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.745096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aa0c07e9-3119-4e3d-a8c2-0263bb55b469 · outbound
This paper cites Local limit theorem in deterministic systems.
Counterexamples to double recurrence for non-commuting deterministic transformations Local limit theorem in deterministic systems
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.717002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 31c1efa4-d7f9-4f9d-bda2-24d270901ad0 · outbound
This paper cites an unresolved cited work.
Counterexamples to double recurrence for non-commuting deterministic transformations Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:47:07.685469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c625c921-1fce-4c4a-80f4-a5937c5eada2 · outbound
This paper cites Non-commuting transformations with non-converging 2-fold ergodic averages.
Counterexamples to double recurrence for non-commuting deterministic transformations Non-commuting transformations with non-converging 2-fold ergodic averages
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:47:07.555031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e9073063-3421-4e82-9ede-8fe986d08c9b · outbound
This paper cites Ryzhikov.
Counterexamples to double recurrence for non-commuting deterministic transformations Ryzhikov
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:47:07.662413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
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