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Paper Citation Record · LEDGER

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems

As of 9 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2509.00241.

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

pith.paper-citation-record.v1
2509.00241 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:02:11.041898Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy22
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 95250813-6346-4a55-afc0-2244cb0bb943 · outbound

This paper cites An introduction to infinite ergodic theory , volume 50 of Math.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems An introduction to infinite ergodic theory , volume 50 of Math

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.718199Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.398962Z digest=sha256:a797a4bb6d63f5a6c535a4e9573c4330af1f350cdd6626b91f8b73a33927b220

Observation 0fc8b311-0a2c-4f9c-85ec-ff26de64d389 · outbound

This paper cites Historic behaviour vs.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Historic behaviour vs

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.695816Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.473892Z digest=sha256:ddc2d1cbca844d62c3bef53781998fc084547c5ba04f1a35b2d3b42ae346f876

Observation 7d3abcbd-4751-4ca9-9613-030cc2b67d0b · outbound

This paper cites Occupation times of sets of infinite measure for ergodic transformations.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Occupation times of sets of infinite measure for ergodic transformations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.675272Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.578112Z digest=sha256:b2984c4ec3c287b204d199edd993928d666c404cc3311cfdaa382a88f62c9090

Observation 27b9d961-4c8d-4727-8dbe-1561a2ace92d · outbound

This paper cites Barrientos and Raul R.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Barrientos and Raul R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.648434Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.664956Z digest=sha256:5dcc5dd69fbe611e66113be63c667d8e4a32a21a03809e5742ee79a7fc33e787

Observation a1eb3e39-2d81-4ede-a53f-cad50ac375ca · outbound

This paper cites On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.624365Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.751410Z digest=sha256:1e2b8bff460b8cc27f7f7ccf696a5fcdab0ebe588035469cc17173a1eb83e46a

Observation cbde2448-d48f-4587-9400-e75da51925a0 · outbound

This paper cites Sets of ``non-typical'' points have full topological entropy and full Hausdorff dimension.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Sets of ``non-typical'' points have full topological entropy and full Hausdorff dimension

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.606538Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.839227Z digest=sha256:bc5b15a7c035b7e3c74a84824dece3817bf3dd4e31fab6804d53eedf64c24dfd

Observation 4b918f85-8c2f-4010-896c-53d580fd555b · outbound

This paper cites Topological entropy for noncompact sets.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Topological entropy for noncompact sets

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.501293Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.894061Z digest=sha256:19886b2143cbfcfc5b331d258072f48764ad0635ec06052bfc789bb8d99ff2bc

Observation 87628625-36c1-47c7-ab76-2d2471474ba2 · outbound

This paper cites Persistent non-statistical dynamics in one-dimensional maps.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Persistent non-statistical dynamics in one-dimensional maps

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.360924Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.955785Z digest=sha256:d0f8f04022800a7b9426e01ff61a0b92b1a9bf855b9d8dd4700c3dab2bcae9e3

Observation c3c561fc-57a4-403b-a32f-f280e183223d · outbound

This paper cites Doubly intermittent full branch maps with critical points and singularities.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Doubly intermittent full branch maps with critical points and singularities

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:14.188110Z

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.

source=arxiv_source observed=2026-08-05T14:02:09.997473Z digest=sha256:0657ec689a0a652a1b456852e722b6dc90a6b485c12db627d822a0be3aaefc30

Observation 4b433a74-7aa8-453f-8eba-398b92e8e4eb · outbound

This paper cites Global-local mixing for intermittent maps with multiple neutral fixed points.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Global-local mixing for intermittent maps with multiple neutral fixed points

Reference 10

Resolution
verified exact
raw_fallback, observed 2026-08-05T14:02:11.515614Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.031732Z digest=sha256:9fed8cf80faa9f8f46fc6ed2f00c9b9220e42e99adfb31d741ad51c60a79d7be

Observation 58a3c5d1-fb82-4bea-8f0c-4c847162d323 · outbound

This paper cites Natural measures and statistical properties of non-statistical maps with multiple neutral fixed points.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Natural measures and statistical properties of non-statistical maps with multiple neutral fixed points

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:02:11.270976Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.117468Z digest=sha256:dc2672d7ef96632de87e673c7ae207a6e59c697f3c30df627b47940c94088c68

Observation 8accf5e9-1008-446e-a594-8be2ed01ca2e · outbound

This paper cites an unresolved cited work.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:02:14.028860Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.184432Z digest=sha256:8a9efd8b30eeebf31ed6cb11bf6858ddd05c6af276bd92ee0465917128584432

Observation 85d2cf30-9f6d-4e92-9197-d32ce10893de · outbound

This paper cites Topological entropy for divergence points.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Topological entropy for divergence points

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:13.943070Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.250293Z digest=sha256:4b1f206bddcfd836e882a8a08edfc219864aac7d7179505d09fb9528fdd40360

Observation 347583a3-f01c-4782-a25a-bb7799410065 · outbound

This paper cites The Lyapunov spectrum of some parabolic systems.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems The Lyapunov spectrum of some parabolic systems

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:13.645148Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.303709Z digest=sha256:0f2ad3d2d24a8c2035bfbe0e8a8ebd88caf6aa5d2e7749eead13f71f795a3b56

Observation 7e2d526a-224b-401e-9d44-1ce82da108d4 · outbound

This paper cites Quadratic maps with maximal oscillation.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Quadratic maps with maximal oscillation

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:13.343579Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.360686Z digest=sha256:c6a777ac95211b2512729517cb6d3984328c655f5f6af80ab2930513f8e2ee7c

Observation 4f9aaf4b-909d-46a0-8d8d-8fa7106fb6f1 · outbound

This paper cites Jordan, Anders \"O berg, and Mark Pollicott.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Jordan, Anders \"O berg, and Mark Pollicott

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:13.106938Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.409741Z digest=sha256:1a130b593a13940e5e628325de7be93b1d01ade9c079541d0c4a49f244f33a1e

Observation 8bde62b9-c0b3-42f3-b800-f4a24ee27793 · outbound

This paper cites Metric stability for random walks (with applications in renormalization theory).

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Metric stability for random walks (with applications in renormalization theory)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:12.932747Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.523201Z digest=sha256:c8bd66dc0690923f690f96034e3991a9b2fb65d1c15a20dabc79d25408162b58

Observation 5fae7dff-1484-48db-a41f-ecb556594566 · outbound

This paper cites Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:12.770398Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.595168Z digest=sha256:a09c4b00da768bbfb0e148d78c3737efc6250dcdea267bec50bd4d0cbab37c3a

Observation adf85a85-7f4c-40c2-854a-324ed1f43769 · outbound

This paper cites Sullivan.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Sullivan

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:12.619934Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.648388Z digest=sha256:abd9010218e0e83e1b0f59fc6ed416a5d4c81ac868920646d135819b39dca9a6

Observation b0a5c674-f7c0-4518-a736-01b503850b74 · outbound

This paper cites Conformal fractals.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Conformal fractals

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:12.465710Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.700119Z digest=sha256:f7dadab3ca36a23049001d0c4d44bd1e70e3874ad94dacd63e69cc0768d3e2cc

Observation 0480fb3d-0894-4382-8f94-86e82484d963 · outbound

This paper cites Functional limit theorem for occupation time processes of intermittent maps.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Functional limit theorem for occupation time processes of intermittent maps

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:12.267838Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.736339Z digest=sha256:6f36f216ffed2c949b1303efef3a514c306895d082a801dfe823060022a3479f

Observation 4de84913-1f65-479b-a77a-64d6af5c9981 · outbound

This paper cites Multiray generalization of the arcsine laws for occupation times of infinite ergodic transformations.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Multiray generalization of the arcsine laws for occupation times of infinite ergodic transformations

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:12.099019Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.786230Z digest=sha256:ede0d8bdc444f745b9a2fbea61b326e92d5ebe5201832bf94a487f8717d7a2d9

Observation 227ff48e-cc6c-4cea-910c-b33fc7489b86 · outbound

This paper cites On the variational principle for the topological entropy of certain non-compact sets.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems On the variational principle for the topological entropy of certain non-compact sets

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:11.943320Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.887720Z digest=sha256:3c5864003f46d905e635c7171c4f83bdd3aa8a98cdd2d7a8ca08be2bb07f6244

Observation 9a7a9547-ac34-4f5b-86b7-1b258ec09475 · outbound

This paper cites Non-statistical rational maps.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Non-statistical rational maps

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:11.802100Z

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.

source=arxiv_source observed=2026-08-05T14:02:10.938773Z digest=sha256:dee3ea0b1c33a0acb6de3755c228c166129dcd31e3d7c2a70d050537c04e1208

Observation 720b1616-a935-43f6-b9f5-68be4f2cbb8f · outbound

This paper cites Some large deviation results for dynamical systems.

Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Some large deviation results for dynamical systems

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:02:11.660338Z

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.

source=arxiv_source observed=2026-08-05T14:02:11.041898Z digest=sha256:04f7e2e09a69bf3bc64c9f7d0e7e1c45342aa1f6992083fb911544a9ba8b01b2

Pith citing papers

No inbound Pith citation observations are available.