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Paper Citation Record · LEDGER

Non uniform expansion and additive noise imply random horseshoe

As of 18 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2501.11656.

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

pith.paper-citation-record.v1
2501.11656 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:11:47.279589Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

19 of 19 outbound references displayed

  • verified exact4
  • verified fuzzy11
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b868e2ad-7fa8-4a84-909d-620fd3e53b43 · outbound

This paper cites an unresolved cited work.

Non uniform expansion and additive noise imply random horseshoe Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:11:47.641692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.205882Z digest=sha256:2f6c74227ff0c1cc138ea2f0868f4cce7f5cc0d7e31fc6157053fdef7a60ffbc

Observation d00fb7bb-29b8-43ba-8b9d-160e79e0267b · outbound

This paper cites Alves and Helder Vilarinho.

Non uniform expansion and additive noise imply random horseshoe Alves and Helder Vilarinho

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.630805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.210341Z digest=sha256:b6b0afc669a8607c5ea6c50462a7b13985e1511e5d18d8c9764110694390b2b7

Observation 655603f5-bb54-4d07-8fad-1ae3c88821c6 · outbound

This paper cites Random young tow ers and quenched decay of correlations for predominantly expanding multimodal circle maps.

Non uniform expansion and additive noise imply random horseshoe Random young tow ers and quenched decay of correlations for predominantly expanding multimodal circle maps

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T18:11:47.214304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T18:11:47.214304Z digest=sha256:a003546dc8bc2265b67fae7cd32243dedddef294dabe5192d9c93d6113d97c16

Observation 5f7e339b-bb35-4e33-ad88-bc64fb52b040 · outbound

This paper cites Limit theorems in dynamical systems using the spectral method.

Non uniform expansion and additive noise imply random horseshoe Limit theorems in dynamical systems using the spectral method

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.620403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.218203Z digest=sha256:060dcc16caa2c64e25249fe5c5f0002f940d715d536eed3209a8b735d8bc1cc8

Observation 494b7030-bc36-4e79-9f36-428037e9d529 · outbound

This paper cites Convergence of markov processes.

Non uniform expansion and additive noise imply random horseshoe Convergence of markov processes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.609711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.222340Z digest=sha256:19cdc1c20f68bc04ad3c99d75356fc4f8a948dacbf8915007805c8df01378d47

Observation 96c775a0-07cf-4c88-8ca2-6ae11118fdeb · outbound

This paper cites Horseshoes for Anosov systems on fibers driven by an equicontinuous system.

Non uniform expansion and additive noise imply random horseshoe Horseshoes for Anosov systems on fibers driven by an equicontinuous system

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.598306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.226317Z digest=sha256:2176870d981d83fbfec76620f1b5047eb5932b00ac7470d046808f87ccfd4aff

Observation 9e478ccb-e710-4788-b36b-1f8ee35a59fe · outbound

This paper cites Ergodic theory of Random Anosov systems mixing on fibers.

Non uniform expansion and additive noise imply random horseshoe Ergodic theory of Random Anosov systems mixing on fibers

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-10T18:11:47.363025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.230293Z digest=sha256:82a35019d731e9976452e05f7429a81efe382ebee037556784079000a0947cdb

Observation d2a45f10-9e80-4423-820c-c7837e541174 · outbound

This paper cites Entropy, chaos, and weak horsesh oe for infinite-dimensional random dynamical systems.

Non uniform expansion and additive noise imply random horseshoe Entropy, chaos, and weak horsesh oe for infinite-dimensional random dynamical systems

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.586533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.234891Z digest=sha256:6fb9af3a2b224d0433afb0494be515e5b79f50ca98a81cee1db2563397b67a60

Observation 2bab9f51-8bc7-4bb5-a9b6-07791865e2c6 · outbound

This paper cites Full-horseshoes for the Galerkin truncations of 2D Navier-Stokes equation with degenerate stochastic forcing.

Non uniform expansion and additive noise imply random horseshoe Full-horseshoes for the Galerkin truncations of 2D Navier-Stokes equation with degenerate stochastic forcing

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-10T18:11:47.347385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.239229Z digest=sha256:a53373682ad9d31555ee9e9a2a6b93be70ec7518c406e224d0a994a1f9715c5b

Observation 67b0ddca-b577-48f2-9304-ad6d23a7cd27 · outbound

This paper cites Observable full-horseshoes for Lagrangian flows advected by stochastic 2D Navier-Stokes equations.

Non uniform expansion and additive noise imply random horseshoe Observable full-horseshoes for Lagrangian flows advected by stochastic 2D Navier-Stokes equations

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T18:11:47.331888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.245557Z digest=sha256:d481589b67daaf4f244af2fd001206148e63489ec03be9f5c3cf6aaa6076bdf3

Observation 04642fdf-fb92-47df-b3ee-fee3bdf85aac · outbound

This paper cites Lyapunov exponents, entropy and period ic orbits for diffeomorphisms.

Non uniform expansion and additive noise imply random horseshoe Lyapunov exponents, entropy and period ic orbits for diffeomorphisms

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.575378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.249606Z digest=sha256:502809204fdfdc9253f211ac71f958da5241906d2767bd82f7cceaf81261200c

Observation 656dcf7a-c55b-4b3a-bd87-0686326497aa · outbound

This paper cites Horseshoes for a class of nonuniformly expanding random dynamical systems on the circle.

Non uniform expansion and additive noise imply random horseshoe Horseshoes for a class of nonuniformly expanding random dynamical systems on the circle

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-10T18:11:47.315525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.254138Z digest=sha256:6ba50deb609322d5f3fe68d0d4a7f08916f01f97a35998ac90018bd9ae5aa367

Observation f747edb6-c675-470f-a886-76a08282ff0e · outbound

This paper cites Existence of periodic orbits and h orseshoes for mappings in a separable banach space.

Non uniform expansion and additive noise imply random horseshoe Existence of periodic orbits and h orseshoes for mappings in a separable banach space

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.563750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.258198Z digest=sha256:6590728e9218c3669b693df4fc03413c972a82a047140819f7d97944d1bdc609

Observation 7de9e526-34dd-4145-b879-1676832b8b44 · outbound

This paper cites Positive Lyapunov expone nt by a random perturbation.

Non uniform expansion and additive noise imply random horseshoe Positive Lyapunov expone nt by a random perturbation

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.552217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.261678Z digest=sha256:9002ac95045b097718567bc65a3a533ec056bbf737859632518148fe81bbe2e6

Observation f1d48989-a77c-4cb3-94df-5481da68d0cc · outbound

This paper cites Lyapunov exponents, peri odic orbits and horseshoes for mappings of hilbert spaces.

Non uniform expansion and additive noise imply random horseshoe Lyapunov exponents, peri odic orbits and horseshoes for mappings of hilbert spaces

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.539638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.265263Z digest=sha256:570e888fdcd882a8eb78674bdc5011367e1291f8c12968072dc747bc0281bf4a

Observation 3ede84de-1487-498f-87e0-41897ae90866 · outbound

This paper cites Lyapunov exponents, peri odic orbits, and horseshoes for semiflows on hilbert spaces.

Non uniform expansion and additive noise imply random horseshoe Lyapunov exponents, peri odic orbits, and horseshoes for semiflows on hilbert spaces

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.528537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.268914Z digest=sha256:c816e6d78c51224977c8f829e15741c101caa300ae2403d0620b3276e3c7dfce

Observation e728e172-da61-4f13-af5d-a2fa8b416a21 · outbound

This paper cites Existence of periodic orbits and horseshoes fo r semiflows on a separable banach space.

Non uniform expansion and additive noise imply random horseshoe Existence of periodic orbits and horseshoes fo r semiflows on a separable banach space

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T18:11:47.516450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.272472Z digest=sha256:aa61ea64a7ea46f83df2099e93e6dfc88dc048efb14863fa949199aca8ecfaef

Observation cc46d5ae-1727-44c1-87b9-ed3e18710177 · outbound

This paper cites an unresolved cited work.

Non uniform expansion and additive noise imply random horseshoe Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:11:47.504007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.275839Z digest=sha256:a97bb93a4b15e40b754f4beb4db357e0a7d32b293faafd233a22a01afe57f195

Observation 531d9a60-d75a-4c65-9f12-25d30da286ef · outbound

This paper cites an unresolved cited work.

Non uniform expansion and additive noise imply random horseshoe Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T18:11:47.492117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T18:11:47.279589Z digest=sha256:e56e815c2f9baa5d029c25cfee5633db6bf8ede95648750e33f4e211372ae617

Pith citing papers

No inbound Pith citation observations are available.