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Paper Citation Record · LEDGER

Fourier decay of equilibrium states and the Fibonacci Hamiltonian

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

source=pdf_text observed=2026-08-06T10:39:52.502949Z digest=sha256:2dcf3b65f4c2ef74346c20b1108d57911bf6ac3f2cd00487b7b4be6197d8db6f

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

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=pdf_text observed=2026-08-06T10:39:52.531308Z digest=sha256:fce549b75b0f95bd66804812470e6c6dc6299d02ad013c2b4b7c06416259d621

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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unresolved
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=sha256:49a8e763080d8b49c2c52717a98533adb946a4b3429b6883e05fad832e42142a

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:39:52.562930Z digest=sha256:7f6bc0c4b373c82b190a8f9383de08f35d1bf028e665f9468dd431ff099cb7d2

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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unresolved
no resolver link, observed 2026-08-06T10:39:52.575630Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T10:39:52.575630Z digest=sha256:0408a05833f1d7629b6556fd732d094182f4767af3526e4aea0833f416b1f0a6

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

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

source=pdf_text observed=2026-08-06T10:39:52.571901Z digest=sha256:fd5c1435ff35bcc83beeeac5c1036b82b6bf9a9972c87549a0a9527438a6c047

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

Resolution
unresolved
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=sha256:1bbc5394cdd391f0e510ebfc363698a008e7b975c1a2939dcc4881c86946f4d0

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

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

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=pdf_text observed=2026-08-06T10:39:52.540006Z digest=sha256:bd8a3570073521848421603c6edd459a39d40b60561d5148d1b85b1eff4c41d3

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

source=pdf_text observed=2026-08-06T10:39:52.507908Z digest=sha256:efeaf9309cdf1b90f2eb0df6e2b8b2c4d2fd532eba75e5cecb80b6e072037b75

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

source=pdf_text observed=2026-08-06T10:39:52.567115Z digest=sha256:4325645923763d177745e788999b5781ccedf23475e8c8bdf7343ada96377e38

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

source=pdf_text observed=2026-08-06T10:39:52.543891Z digest=sha256:96fb314ee87bf75b6bae4a90cedc7eaee84d42d5d1773a3632dd276453a6f402

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

Resolution
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:f603c4660390e8d69f0974238088b62a157a86176239aa1eaf967be5a24f5083

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

Resolution
metadata mismatch
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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T10:39:52.526282Z digest=sha256:8bda9a77434447f5763ef21c2dd706a2a5343901e1d3056e3876b53ce739fcc5

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

source=pdf_text observed=2026-08-06T10:39:52.557991Z digest=sha256:714acaa0b3b55990edc65f965e69ada0bde1edf740113eadfc0949497652e4c4

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

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

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=pdf_text observed=2026-08-06T10:39:52.535591Z digest=sha256:2b1ca51133cc52e04aa5cadd1a26cc88b0f0975b504a86be301da91a9fb076dc

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

source=pdf_text observed=2026-08-06T10:39:52.553883Z digest=sha256:bcab3b53e13e8a38fb73da8db4a31c738896f95659bb7132b96a8cca9c533570

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

source=pdf_text observed=2026-08-06T10:39:52.517456Z digest=sha256:91027d066a1fb30b01d16de8e93ad9dfe1ee0bde5d90f50c13c75c02c6688610

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

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=pdf_text observed=2026-08-06T10:39:52.579203Z digest=sha256:5e53151ba7176a5e94cfbce40e6d702e91d34789939d75c7da5e75242de9c02d

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

Resolution
unresolved
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:f5fcc91fce23819d660a7046120f4ff169fba1ff13bef39aefa3f8b8ba033a68

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
unresolved
no resolver link, observed 2026-08-01T16:33:55.683530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T16:33:55.683530Z digest=sha256:4ae3c5ba468d1eba51f4e707ce82c4a3285d9f4e2757c8fab0faca09903c50ce