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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.398962Z digest=sha256:64273af2fda273eace50ffceb40918b4abb2ec852334a9ec09de1d96a0df90ae

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.473892Z digest=sha256:72e30da83007c6526d23c30b645fec75aebb50fa007df7c9cc2a04bfcdd5479f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.578112Z digest=sha256:90ccc8a10e8e04b3d274a5cc008dd608e47363a3c9bb3fed01480a3f81cfb1fc

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.664956Z digest=sha256:69dbc435088a2d0a0aadb86496c4cdc122818d78cdcd26e802157a109ff4ab2b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.751410Z digest=sha256:650ab8404ea89773114cf783ccfdd0843d60e9b63646bce960cfdfda04548fe8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.839227Z digest=sha256:4d02e8ed2895cad53fc763cb300ad8d4e4a76dc139a25918dea372d84b4a212c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.894061Z digest=sha256:942e4d356ca85564ffca971ef54ba38f93500bfe6352070279e8362cac67035c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.955785Z digest=sha256:266af1904dca1667ba6c7c7181e709e90b04293c2db5d0e72c5ac002c58c18dc

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:09.997473Z digest=sha256:024554bcafe86d16a63d7b748f9561687186fa1da8b795c691efaa1c68518ffa

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.031732Z digest=sha256:0b08c19a53c4cfc22436fb4c5e5ffccc52752148e16e5a28e2b7d8e6b65a0188

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.117468Z digest=sha256:ef148b5692516cba17d5ec9457aaf70deddb11ad65a4802d2b45ffadd818673a

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
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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.

source=arxiv_source observed=2026-08-05T14:02:10.184432Z digest=sha256:663c1b1fe59654152ed6d8948e14cd7f5574ba8bf5376d022430fdaa79ddaa3a

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.250293Z digest=sha256:6df03d52882f766871ad84a804ac2447a467dc9489a2e0db52ceacd1c152b373

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.303709Z digest=sha256:97f2941566bda0f7ab94f95e9c85e6a215c207eb9ebe1b930bb1aab9e7705c8b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.360686Z digest=sha256:0c2543ddb27e41cc79c2cceaca1fad1df656552c6cd82f802b384e96d2dae17f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.409741Z digest=sha256:839529de4cb909c5ab51235eb2d45eac109a1449101f0b063b5063e2991a0d4e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.523201Z digest=sha256:f806b051cbad4d340bf6c2318fc9907d381d8b070a5e7871e3eb2ecde78af109

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.595168Z digest=sha256:0964217cde367b5d570002fed814a3375d6078c274df80d94bd8284ec6fdbb2c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.648388Z digest=sha256:5e0f2491791c5ef21dc85962c800ba839976b879b4d3a2daec7265442043bc40

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.700119Z digest=sha256:5e9af9926f80cb25da0b0b2b092541cb5ecb634a2c1b35fdbfe8c2769beecb36

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.736339Z digest=sha256:ec31f93eee70e89074abff8e166a90eb1efe649446fae6fe1706b0b0dcaf4078

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.786230Z digest=sha256:f78eadb29c97c12d161feaef61a7ea9a4dcbbc94ef7c2ad34db5c8affa1442f7

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.887720Z digest=sha256:913206d22c17a5ee9913977a6336eeeb8aac71c53631071d9114288c1a54ed97

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:10.938773Z digest=sha256:5fdfd8001c8ae7725ae555db7d284b256e8c4cbadf28c2de5fa012f0b9f9bce0

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-05T14:02:11.041898Z digest=sha256:864f9751efbab0778f73f164691c9545a0429205b771c0dc201ab7eea9c9c58c

Pith citing papers

No inbound Pith citation observations are available.