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Paper Citation Record · LEDGER

Fourier decay of equilibrium states and the Fibonacci Hamiltonian

As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2507.23731.

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

pith.paper-citation-record.v1
2507.23731 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:39:52.582859Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:33:55.683530Z

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

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  • verified fuzzy0
  • unresolved6
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  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 856f0386-a0c1-468f-b6b4-52a112adde51 · outbound

This paper cites Fourier dimension and spectral gaps for hyperbolic surfaces.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Fourier dimension and spectral gaps for hyperbolic surfaces

Reference 1

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local_arxiv, observed 2026-08-06T10:39:52.824091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c7e3afdb-e6da-4e2c-b564-cb5483ca5972 · outbound

This paper cites Hurder, A.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Hurder, A

Reference 7

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doi, observed 2026-08-06T10:39:52.668121Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 29227e8e-2986-43f7-b693-de3e5d1da90f · outbound

This paper cites Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups

Reference 11

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no resolver link, observed 2026-08-06T10:39:52.549084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:39:52.549084Z digest=sha256:e9b088d6dbb49c6a736f81646b1040977e9a9a098b856ac53ed723bd3f45d878

Observation e6c6fd17-38d5-4f78-a4a1-d71a69d76b8a · outbound

This paper cites On the Fourier decay of multiplicative convolutions.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian On the Fourier decay of multiplicative convolutions

Reference 14

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no resolver link, observed 2026-08-06T10:39:52.562930Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:39:52.562930Z digest=sha256:4d60af77175243f5fc654f55b8a36e33f38df8e4e2323c34c12cdfc975330b92

Observation 83c4de10-e25e-4fba-af33-54dd3b72068b · outbound

This paper cites Fourier transforms and iterated function systems.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Fourier transforms and iterated function systems

Reference 17

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source=pdf_text observed=2026-08-06T10:39:52.575630Z digest=sha256:ca105b4a8382945140f112f163dfbe9bd077c38d294c1b2f812ddf1313b16721

Observation 0cd334e3-4c10-42b3-afb4-fd33213d51fd · outbound

This paper cites an unresolved cited work.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Unresolved cited work

Reference 49

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verified exact
doi, observed 2026-08-06T10:39:52.623022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.571901Z digest=sha256:ea838fd8da3ef16fc4fee2011d611792014d1105bc1994fa6df031338772a6d5

Observation a012a9cf-c2e1-472a-9fe4-56f6c941d90e · outbound

This paper cites doi:10.1023/A:1019762724717.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian doi:10.1023/A:1019762724717

Reference 108

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no resolver link, observed 2026-08-06T10:39:52.582859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:39:52.582859Z digest=sha256:e436f8c9bd6d7079682e02a4ddb151a292ed2f712668e0df39308e42237e0da6

Observation 7e3562c8-6981-4056-84e5-d71da9663155 · outbound

This paper cites Kahane, Some Random series of functions , 2nd edition (Cambridge University Press,1985).

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Kahane, Some Random series of functions , 2nd edition (Cambridge University Press,1985)

Reference 1966

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verified exact
doi, observed 2026-08-06T10:39:52.656590Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.540006Z digest=sha256:2897fb46793014a2d2ff9dcabd8f22807b4bd6a3551936df872beea8a2e88c4a

Observation 07b1aa85-7779-43d8-8b1c-9dd26db7935b · outbound

This paper cites Bowen, Hausdorff dimension of quasi-circles.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Bowen, Hausdorff dimension of quasi-circles

Reference 1975

Resolution
verified exact
doi, observed 2026-08-06T10:39:52.695271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.507908Z digest=sha256:4ab756b0b121d2415782a93e2dee92379bcc77878853990d5282872fcf790aaf

Observation f809a441-eefd-4406-be36-f4e44919a366 · outbound

This paper cites Pinto, D.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Pinto, D

Reference 1990

Resolution
verified exact
doi, observed 2026-08-06T10:39:52.634198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.567115Z digest=sha256:22be68def06c0237669d50a0bc6223e2c47ff3506b3c966a5e396af52e636240

Observation fd6eefb6-ddaa-4355-81d0-17255f7f476d · outbound

This paper cites Exponential Mixing Via Additive Combinatorics.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Exponential Mixing Via Additive Combinatorics

Reference 1995

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local_arxiv, observed 2026-08-06T10:39:52.765865Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.543891Z digest=sha256:d84ddf3dcf1b9f8741d6acf3f24b8b89e48785b9ca2d84a736c33fed9ee43b0b

Observation 4ecb88cf-6319-47ce-90e5-e2903060aae5 · outbound

This paper cites Spectral gaps and Fourier dimension for self-conformal sets with overlaps.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Spectral gaps and Fourier dimension for self-conformal sets with overlaps

Reference 2002

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unresolved
no resolver link, observed 2026-08-06T10:39:52.512569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:39:52.512569Z digest=sha256:b01256f5e3d50506698f9e052f7763bfb2010700c4ca26562b337664f1804fd8

Observation 269caf68-7b6a-4292-8bd3-eee9d090fbce · outbound

This paper cites Sum-product phenomena in F_p: a brief introduction.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Sum-product phenomena in F_p: a brief introduction

Reference 2009

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local_arxiv, observed 2026-08-06T10:39:52.793478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.526282Z digest=sha256:cc4423a8299300f23f295a985d42d186ffad89ffa4a9ec68ff28b02b62b7e6a9

Observation c421602e-f303-478a-bfbc-cc9396b2b202 · outbound

This paper cites McShane, Extension of range of functions , Bull.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian McShane, Extension of range of functions , Bull

Reference 2015

Resolution
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doi, observed 2026-08-06T10:39:52.645377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.557991Z digest=sha256:248253617ae77a70814f7a82a2745ff3f45c6b2ad7810e8c72811f2ea4977889

Observation b6345efe-9964-41e2-8967-04797c8e769f · outbound

This paper cites Fourier transforms of Gibbs measures for the Gauss map.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Fourier transforms of Gibbs measures for the Gauss map

Reference 2016

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verified exact
local_arxiv, observed 2026-08-06T10:39:52.779728Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.535591Z digest=sha256:559e15fe18df72c6c7ed2150ce4b49e3570fba35fc0b6173d7c4f90e90f94274

Observation e0692063-d2eb-4278-b45a-475d6eb6137e · outbound

This paper cites Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay

Reference 2021

Resolution
verified exact
local_arxiv, observed 2026-08-06T10:39:52.744445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.553883Z digest=sha256:aa5e881b0125cea8e562bd369f3b53f3cf001fbd825fad600f363b92c50e5209

Observation b692817b-a43d-49da-b6aa-be746d419a04 · outbound

This paper cites Damanik, J.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Damanik, J

Reference 2022

Resolution
verified exact
doi, observed 2026-08-06T10:39:52.682034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 4ccdb976-a06d-44fa-9a1f-1834b3a6e29b · outbound

This paper cites Smooth mixing Anosov flows in dimension three are exponential mixing.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Smooth mixing Anosov flows in dimension three are exponential mixing

Reference 2023

Resolution
verified exact
local_arxiv, observed 2026-08-06T10:39:52.711551Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T10:39:52.579203Z digest=sha256:3c8201e76ba31368641575eb0c5e6751057662055e982c79635ead5ecefed9fc

Observation 11dd74b9-b3ed-4e66-93f3-806df9bdc994 · outbound

This paper cites Optimal dispersion for discrete periodic Schr\"odinger operators.

Fourier decay of equilibrium states and the Fibonacci Hamiltonian Optimal dispersion for discrete periodic Schr\"odinger operators

Reference 2024

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no resolver link, observed 2026-08-06T10:39:52.521940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:39:52.521940Z digest=sha256:278dac8dac38dfc3ccb4187a3fdebc5a0273ef5fa183ac70a5154b876cbbdbc4

Pith citing papers

Observation d59db09d-2042-40f2-b3c9-6560415da846 · inbound

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ cites this paper.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier decay of equilibrium states and the Fibonacci Hamiltonian

Reference 24

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:33:55.683530Z digest=sha256:79a59b2c18884c4d6b139f04c21ab7dbed4d93d176ae049998fd030e832b6544