Paper Citation Record · LEDGER

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

As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.18010.

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

pith.paper-citation-record.v1
2607.18010 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T16:33:56.475979Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 91eb794e-643d-4d79-a737-0bcccff21122 · outbound

This paper cites Van der Corput and metric theorems for geometric progressions for self-similar measures.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Van der Corput and metric theorems for geometric progressions for self-similar measures

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.594395Z

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Observation c89aa7a8-d3e1-4ba7-907c-07af8b99a82c · outbound

This paper cites Algom, F.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Algom, F

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.638822Z

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Observation 5836b014-7c97-4f2f-99a9-d6a1601d5ba8 · outbound

This paper cites Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.684811Z

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Observation 48686088-cb33-439d-a413-57539fea0aef · outbound

This paper cites Algom, F.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Algom, F

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.737184Z

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Observation fc6619b5-f3c8-4bcf-8b66-1b5645ce3768 · outbound

This paper cites Spectral gaps and Fourier decay for self-conformal measures in the plane.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Spectral gaps and Fourier decay for self-conformal measures in the plane

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.775524Z

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Observation adb01099-e337-4c48-bbaa-987f452aa392 · outbound

This paper cites Polynomial Fourier decay for fractal measures and their pushforwards.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Polynomial Fourier decay for fractal measures and their pushforwards

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.827744Z

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Observation b22a6e8d-59f8-486b-8700-347cee7945fd · outbound

This paper cites Baker, A.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Baker, A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.868964Z

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Observation 70972a23-5602-40ce-9667-b3581311fc47 · outbound

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

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Spectral gaps and Fourier dimension for self-conformal sets with overlaps

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.922793Z

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Observation 937deb4d-6a50-4705-8e88-a46c74422c2d · outbound

This paper cites Fourier Decay from $L^2$-Flattening.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier Decay from $L^2$-Flattening

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:54.966863Z

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Observation 7442f649-5b83-43a1-a342-b013ff1d9321 · outbound

This paper cites Fourier transform of nonlinear images of self-similar measures: quantitative aspects.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier transform of nonlinear images of self-similar measures: quantitative aspects

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.002239Z

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Observation c82596bf-8af5-4295-9de7-aae1493dc0fe · outbound

This paper cites B´ ar´ any, I.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ B´ ar´ any, I

Reference 11

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Observation 9066f8fe-ea69-43cd-ba82-cda4dd7ed0b6 · outbound

This paper cites Bourgain The discretized sum-product and projection theorems.J.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Bourgain The discretized sum-product and projection theorems.J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.117585Z

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Observation 7b0e08ef-9d21-43d9-82b9-adc2b1b3ad16 · outbound

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

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier dimension and spectral gaps for hyperbolic surfaces

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.170718Z

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Observation 5c291ee7-82b1-4d11-b61e-c82a8be6cf6c · outbound

This paper cites Spectral gaps, additive energy, and a fractal uncertainty principle.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Spectral gaps, additive energy, and a fractal uncertainty principle

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.213773Z

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Observation 319b94e3-9964-4dde-9369-8d119a0929a2 · outbound

This paper cites Quantitative flatness and obstructions in Fourier analysis.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Quantitative flatness and obstructions in Fourier analysis

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.258794Z

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Observation 862d2e00-6791-4cac-a556-f44ccb21d687 · outbound

This paper cites Jakobson, F.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Jakobson, F

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.293675Z

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Observation c225f7bc-f24c-403a-8ff3-a29283a60e89 · outbound

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

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier transforms of Gibbs measures for the Gauss map

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.349650Z

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Observation 5fb5e600-1bea-43a4-b5fb-3dbbb5b83a2c · outbound

This paper cites an unresolved cited work.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.391231Z

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Observation 388e30de-048b-4315-b75a-ca73a7ec044a · outbound

This paper cites Exponential Mixing Via Additive Combinatorics.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Exponential Mixing Via Additive Combinatorics

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.432311Z

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Observation 6fd9e941-bff6-4e0c-a326-37f03f718707 · outbound

This paper cites On oscillatory integrals with H\"older phases.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ On oscillatory integrals with H\"older phases

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.469996Z

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Observation c8fa14e1-35e5-423e-88ff-d36480352d3a · outbound

This paper cites Fourier decay of equilibrium states for bunched attractors.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier decay of equilibrium states for bunched attractors

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.514699Z

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Observation f4229cc9-9567-4074-939f-6bb0382743ae · outbound

This paper cites Fourier decay of equilibrium states on hyperbolic surfaces.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier decay of equilibrium states on hyperbolic surfaces

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.565804Z

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Observation c013980f-47a7-4eab-be7d-bb86f763942d · outbound

This paper cites an unresolved cited work.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.619446Z

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

This paper cites Fourier decay of equilibrium states and the Fibonacci Hamiltonian.

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

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Observation ccf72219-2345-4461-a6fb-53d2bd28cc46 · outbound

This paper cites Leclerc, S.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Leclerc, S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.725210Z

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Observation 40f837c8-ba62-4ebf-8017-ca775cd06224 · outbound

This paper cites Explicit Upper Bounds on Decay Rates of Fourier Transforms of Self-similar Measures on Self-similar Sets.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Explicit Upper Bounds on Decay Rates of Fourier Transforms of Self-similar Measures on Self-similar Sets

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.771823Z

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Observation f1ee891c-99b2-4f92-8671-0a3bad13b543 · outbound

This paper cites an unresolved cited work.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.810538Z

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Observation 04865661-c80a-4a64-8559-a6fcf5a76128 · outbound

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

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.860208Z

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Observation c6ad15a9-5ba4-4826-a7a6-644b0fb28330 · outbound

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

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Kleinian Schottky groups, Patterson-Sullivan measures and Fourier decay

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.907120Z

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Observation 13f87092-1e9f-471c-89e9-84496693f573 · outbound

This paper cites an unresolved cited work.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.952964Z

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Observation 3a119cfb-a58a-4165-8a0c-3313d2d814ee · outbound

This paper cites an unresolved cited work.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:55.998572Z

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Observation 2c516cb4-c8cf-427e-a15c-7fe4e91b120f · outbound

This paper cites Trigonometric series and self-similar sets.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Trigonometric series and self-similar sets

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.038051Z

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Observation c480f42b-4320-4d37-8e6c-6c0e9beb3b49 · outbound

This paper cites Random walks in the group of Euclidean isometries and self-similar measures.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Random walks in the group of Euclidean isometries and self-similar measures

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.078565Z

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Observation fac231e4-bf5b-4b42-8156-a51c146b5e06 · outbound

This paper cites an unresolved cited work.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.119337Z

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Observation db0403ac-f6ee-4ffd-8c4a-a9677eb945ce · outbound

This paper cites Pollington, S.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Pollington, S

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.164881Z

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Observation 4b35a918-0bac-423e-9361-a796c4a4f542 · outbound

This paper cites Queff´ elec, O.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Queff´ elec, O

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.198688Z

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Observation 6f4f5103-0d3a-44e0-b5b9-aa8fff2b15c1 · outbound

This paper cites Dimension of self-conformal measures associated to an exponentially separated analytic IFS on $\mathbb{R}$.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Dimension of self-conformal measures associated to an exponentially separated analytic IFS on $\mathbb{R}$

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.248722Z

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Observation c235e613-ac1c-4384-8a47-689af5ff9922 · outbound

This paper cites Fourier transforms and iterated function systems.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Fourier transforms and iterated function systems

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.301954Z

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Observation 9f0cf7bb-7aac-4e1f-bced-5b0c4f4fa039 · outbound

This paper cites Sahlsten, C.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Sahlsten, C

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.350319Z

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Observation f887b9da-f897-4608-ad38-65387d0b76a2 · outbound

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Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 40

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Observation 7d1adde3-4c11-4ed4-8f55-7db589c3511b · outbound

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Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.440697Z

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Observation f64927f2-3330-49b4-91c3-cf802809f412 · outbound

This paper cites an unresolved cited work.

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$ Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-01T16:33:56.475979Z

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