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Paper Citation Record · LEDGER

Smooth projections of self-similar measures

As of 8 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:2607.15635.

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measured 62 of 62 reference resolution

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62 of 62 outbound references displayed

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Outbound references

Observation 6f19f5ea-9d05-475e-b4fa-f8da6942c562 · outbound

This paper cites On normal numbers and self-similar measures.Adv.

Smooth projections of self-similar measures On normal numbers and self-similar measures.Adv

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Observation 3ee6b8ad-26db-42b8-8969-e43e4f51afe3 · outbound

This paper cites Logarithmic Fourier decay for self confor- mal measures.J.

Smooth projections of self-similar measures Logarithmic Fourier decay for self confor- mal measures.J

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Observation 05bd9f23-3be4-46fa-aa6a-64894eb8282d · outbound

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

Smooth projections of self-similar measures Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures

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Observation b9e6d074-634c-4f8b-a4f1-f0453ae63a69 · outbound

This paper cites Pointwise normality and Fourier decay for self-conformal measures.Adv.

Smooth projections of self-similar measures Pointwise normality and Fourier decay for self-conformal measures.Adv

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Observation b86062d2-920a-45a6-b900-bdc2a48fde7f · outbound

This paper cites Spectral gaps and Fourier decay for self- conformal measures on the plane.Transactions of the American Mathematical Society, 379(6):3953–3991, 2026.

Smooth projections of self-similar measures Spectral gaps and Fourier decay for self- conformal measures on the plane.Transactions of the American Mathematical Society, 379(6):3953–3991, 2026

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Observation 71d7566c-32c7-4b34-a127-696cc2134abc · outbound

This paper cites On the dimension of orthogonal projections of self-similar measures.

Smooth projections of self-similar measures On the dimension of orthogonal projections of self-similar measures

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Observation 991977c2-ed76-460a-8915-2a26da9771c2 · outbound

This paper cites Disintegration results for fractal measures and applications to Diophantine approxima- tion.Ergodic Theory Dynam.

Smooth projections of self-similar measures Disintegration results for fractal measures and applications to Diophantine approxima- tion.Ergodic Theory Dynam

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Observation 98c9717e-b6eb-4404-8db5-9d87a398028b · outbound

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

Smooth projections of self-similar measures Polynomial Fourier decay for fractal measures and their pushforwards

Reference 8

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Observation a4714c2a-3dfa-4034-b830-9ff070b4f410 · outbound

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

Smooth projections of self-similar measures Fourier Decay from $L^2$-Flattening

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Observation 0682a0ba-491d-4e4b-8c68-615f9036a1f2 · outbound

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

Smooth projections of self-similar measures Spectral gaps and Fourier dimension for self-conformal sets with overlaps

Reference 10

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Observation 02a87b39-13f0-41e8-b7f7-7c083ebeab8f · outbound

This paper cites Fourier transform of nonlinear images of self-similar measures: quantitative aspects.Peking Mathematical Journal, 2026.

Smooth projections of self-similar measures Fourier transform of nonlinear images of self-similar measures: quantitative aspects.Peking Mathematical Journal, 2026

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Observation 04032ad9-a087-4c64-8dad-7fabf99e3af2 · outbound

This paper cites Projections of self-affine sets onto lines.

Smooth projections of self-similar measures Projections of self-affine sets onto lines

Reference 12

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Observation 53e2636b-7c24-4538-9abc-5ab96f29673a · outbound

This paper cites Scaling limits of self-conformal measures.

Smooth projections of self-similar measures Scaling limits of self-conformal measures

Reference 13

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Observation 1eb0c48a-2eed-4762-84b3-d5cb4aeb1634 · outbound

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Smooth projections of self-similar measures A spectral gap theorem in simple Lie groups.Invent

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Observation 85c85a90-fa11-4e4f-b7cf-da6be21a1a1c · outbound

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Smooth projections of self-similar measures Bourgain and A

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Observation 07896172-6c59-410c-ae35-9e48642c8b04 · outbound

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Smooth projections of self-similar measures On the spectral gap for finitely-generated subgroups ofSUp2q.In- vent

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Observation e21f883e-069a-48d4-9d11-0a5785350b57 · outbound

This paper cites Local spectral gap in the group of euclidean isometries.International Mathematics Research Notices, 2020(2):466–486, 2020.

Smooth projections of self-similar measures Local spectral gap in the group of euclidean isometries.International Mathematics Research Notices, 2020(2):466–486, 2020

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Observation b616dff0-f875-415f-a1e5-a6053cbd13ee · outbound

This paper cites Projections of Gibbs measures on self-conformal sets.Nonlinearity, 32(2):603–621, 2019.

Smooth projections of self-similar measures Projections of Gibbs measures on self-conformal sets.Nonlinearity, 32(2):603–621, 2019

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Observation 117393e9-7b16-4f4c-9c31-90e74ccb9e2e · outbound

This paper cites Furstenberg sumset conjecture and Mandelbrot percolations.

Smooth projections of self-similar measures Furstenberg sumset conjecture and Mandelbrot percolations

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Observation 09cfccba-f6f6-4c0a-a12f-9af7a3e3f7e2 · outbound

This paper cites Daniel Mauldin.

Smooth projections of self-similar measures Daniel Mauldin

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Observation d5d255e0-707d-4b45-a432-0a099e926b36 · outbound

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Smooth projections of self-similar measures Unresolved cited work

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Observation e5983a5e-3855-4903-981b-2be30237185d · outbound

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Smooth projections of self-similar measures Dynamical self-similarity, $L^{q}$-dimensions and Furstenberg slicing in $\mathbb{R}^d$

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Observation b416914c-5993-4075-9966-6caf0e557bdf · outbound

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Smooth projections of self-similar measures Weighted restriction estimates and application to Falconer distance set problem.American Journal of Mathematics, 143(1):175–211, 2021

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Observation ad1ee09a-ae1a-4f55-acf7-e2ecd8135056 · outbound

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Smooth projections of self-similar measures Unresolved cited work

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Observation 41aaea91-8306-42b6-b7b5-d9dbab123e09 · outbound

This paper cites Sixty years of fractal projections.

Smooth projections of self-similar measures Sixty years of fractal projections

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Observation 12604992-993b-4617-8bbb-a780c577255c · outbound

This paper cites Seventy years of fractal projections.arXiv preprint arXiv:2602.22002, 2026.

Smooth projections of self-similar measures Seventy years of fractal projections.arXiv preprint arXiv:2602.22002, 2026

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Observation 1cc4f184-9c52-440f-bcdb-049a9506bf07 · outbound

This paper cites Falconer and Xiong Jin.

Smooth projections of self-similar measures Falconer and Xiong Jin

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Observation fc1daab9-a6c2-468f-8c73-3300a88f3c1c · outbound

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Smooth projections of self-similar measures Typical self-affine sets with non-empty interior.Asian Journal of Mathemat- ics, 27(5):621–638, 2024

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Observation dc063182-e274-4926-bd82-7601dff4141d · outbound

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Smooth projections of self-similar measures Dimension theory of iterated function systems.Comm

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Observation 31a9f634-a3e0-4497-a6de-c60bc5e58044 · outbound

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Smooth projections of self-similar measures Dimensions of orthogonal projections of typical self-affine sets and mea- sures.arXiv preprint arXiv:2502.04000, 2025

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Observation 1eff9256-5fc0-42e7-b917-b5b074a8e363 · outbound

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Smooth projections of self-similar measures On self-similar sets with overlaps and inverse theorems for entropy.Ann

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Observation 34092a4e-13b3-4934-9665-93920116e204 · outbound

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Smooth projections of self-similar measures On self-similar sets with overlaps and inverse theorems for entropy inR d.Memoirs of the American Mathematical Society, 265(1287), 2020

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Observation 4162c234-0ca6-4a51-b9b4-3023cc8838ce · outbound

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Smooth projections of self-similar measures Local entropy averages and projections of fractal measures

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Observation 14d49c30-35e4-488e-9e55-da305cafaef9 · outbound

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Smooth projections of self-similar measures Dimension of ergodic measures projected onto self-similar sets with overlap.Proceedings of the London Mathematical Society, 122(2):191–206, 2021

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Observation ac13c1ae-4d74-48e3-b7f5-50ba058e16d5 · outbound

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Smooth projections of self-similar measures On absolute continuity of inhomogeneous and contracting on average self-similar measures.arXiv preprint arXiv:2409.18936, 2024

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Observation 64861e15-146c-4f55-9a8a-1a355360fce2 · outbound

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Smooth projections of self-similar measures Unresolved cited work

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Observation f6d12e0e-ed61-41b1-a1f5-0f9c3b165e84 · outbound

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Smooth projections of self-similar measures Lubotzky, R

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Observation 5117edfd-2671-4dc6-b57f-9ca4d01de55c · outbound

This paper cites Lubotzky, R.

Smooth projections of self-similar measures Lubotzky, R

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source=pdf_text observed=2026-08-01T22:59:49.443942Z digest=sha256:fd2688daaf0976e69e52783fc6d5fbe4b7597dbbb872996e3e735b1e6345c359

Observation 8f027b08-bd4e-47db-89c7-9cb09d002ed5 · outbound

This paper cites Spherical averages of fourier transforms of measures with finite energy; dimensions of intersections and distance sets.Mathematika, 34(2):207–228, 1987.

Smooth projections of self-similar measures Spherical averages of fourier transforms of measures with finite energy; dimensions of intersections and distance sets.Mathematika, 34(2):207–228, 1987

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source=pdf_text observed=2026-08-01T22:59:49.560539Z digest=sha256:b336fc6aec2479b0b42ddac5cd8da34fdb54c2ad4f4e72fc93a1c005d80d56bf

Observation cb1a409c-b32e-40bd-9911-74533292af17 · outbound

This paper cites Cambridge University Press, Cambridge, 1995.

Smooth projections of self-similar measures Cambridge University Press, Cambridge, 1995

Reference 40

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source=pdf_text observed=2026-08-01T22:59:49.650715Z digest=sha256:08ab145aaea57c9937f4488e31b434be42fa1e012a12fe402985047c8cf7f97a

Observation 7229615e-42c8-434b-8bd8-3203d9dc158f · outbound

This paper cites Cambridge University Press, Cambridge, 2015.

Smooth projections of self-similar measures Cambridge University Press, Cambridge, 2015

Reference 41

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Observation 449c1895-96b5-450c-b613-7052e3f730d9 · outbound

This paper cites Morris and Ça˘ grı Sert.

Smooth projections of self-similar measures Morris and Ça˘ grı Sert

Reference 42

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source=pdf_text observed=2026-08-01T22:59:49.800744Z digest=sha256:ce38c3771e5e18b7ba825988d7e320b16860903d82b09d8ec0f833df424a01be

Observation 2254114f-28f8-4bb5-9ae2-a143a306caad · outbound

This paper cites Convolutions of Cantor measures without resonance.

Smooth projections of self-similar measures Convolutions of Cantor measures without resonance

Reference 43

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source=pdf_text observed=2026-08-01T22:59:49.891942Z digest=sha256:e7effec9b43aff552d95c7e56d81baed02d29582e032b6a00726ad5ffed4ecc6

Observation f3fd1023-3989-4091-87c6-72de986d876e · outbound

This paper cites The Ruziewicz problem and distributing points on homogeneous spaces of a compact Lie group.

Smooth projections of self-similar measures The Ruziewicz problem and distributing points on homogeneous spaces of a compact Lie group

Reference 44

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source=pdf_text observed=2026-08-01T22:59:49.980235Z digest=sha256:e8d0bb54e09f694f78f4e92c8a108688ae238e9ac98e1e05edd0bb4b944cf7c1

Observation 226d0180-42ba-4596-b9fe-e8c9211d7237 · outbound

This paper cites Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions.Duke Math.

Smooth projections of self-similar measures Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions.Duke Math

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Observation 716ac63a-36c0-43c5-9fe6-7655a250c7ef · outbound

This paper cites Resonance between Cantor sets.Ergodic Theory Dynam.

Smooth projections of self-similar measures Resonance between Cantor sets.Ergodic Theory Dynam

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source=pdf_text observed=2026-08-01T22:59:50.168301Z digest=sha256:c5ceb94f844b64ded5faa321ff0ffd03a7648234fe55dc1ea19be73b1f5ec3cd

Observation 85081a77-154c-4a72-9b9b-c677a6361380 · outbound

This paper cites Existence ofL q dimensions and entropy dimension for self-conformal measures.Indiana Univ.

Smooth projections of self-similar measures Existence ofL q dimensions and entropy dimension for self-conformal measures.Indiana Univ

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Observation b6992358-3e51-4abc-b3e4-257f8b069681 · outbound

This paper cites The dimension of projections of planar diagonal self-affine measures.Ann.

Smooth projections of self-similar measures The dimension of projections of planar diagonal self-affine measures.Ann

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source=pdf_text observed=2026-08-01T22:59:50.318998Z digest=sha256:32bf1e3e35f97273690fc489b621836288cb67c318e0892326216843117251d5

Observation 89e54381-3741-4db3-bbe0-ca6ba9ac4191 · outbound

This paper cites A self-similar measure with dense rotations, singular projections and discrete slices.

Smooth projections of self-similar measures A self-similar measure with dense rotations, singular projections and discrete slices

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Observation cfaabb33-b0b8-4e67-b048-e7c57c9bbf74 · outbound

This paper cites On self-similar measures with absolutely continuous projections and dimension con- servation in each direction.Ergodic Theory Dynam.

Smooth projections of self-similar measures On self-similar measures with absolutely continuous projections and dimension con- servation in each direction.Ergodic Theory Dynam

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source=pdf_text observed=2026-08-01T22:59:50.450968Z digest=sha256:9c137d53d4f86d51e8a4411bc63b3b15a3a41196816922f4e086bd779e5a23ad

Observation c7adb77c-d911-40e5-b902-990061846186 · outbound

This paper cites Fourier transforms and iterated function systems.

Smooth projections of self-similar measures Fourier transforms and iterated function systems

Reference 51

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source=pdf_text observed=2026-08-01T22:59:50.510695Z digest=sha256:a584f380880b84207c8fe4e73ad3da622656d1b988254fb51be875f1708ee7ca

Observation d0a6c8ee-0404-4bf2-8dfb-4421d222c52c · outbound

This paper cites Springer International Publishing, Cham, 2015.

Smooth projections of self-similar measures Springer International Publishing, Cham, 2015

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source=pdf_text observed=2026-08-01T22:59:50.594435Z digest=sha256:dcb4b6dbed282c2215ef4c9ea6a41577d2e05ca8046f7b27841470e8eefdeac1

Observation 0429da76-b7ae-4a2e-9a25-48b2e3ab861e · outbound

This paper cites On Furstenberg’s intersection conjecture, self-similar measures, and theL q norms of convolutions.Ann.

Smooth projections of self-similar measures On Furstenberg’s intersection conjecture, self-similar measures, and theL q norms of convolutions.Ann

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Observation a0374878-5ef7-4a2e-b1f4-531c77cd3afc · outbound

This paper cites Absolute continuity of self-similar measures, their projections and convolutions.Trans.

Smooth projections of self-similar measures Absolute continuity of self-similar measures, their projections and convolutions.Trans

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source=pdf_text observed=2026-08-01T22:59:50.757961Z digest=sha256:dce681e85ad2713fe6309e14d6f29623cb7ddd37fb024cd6e1237dc2c5a42057

Observation b6485003-79da-4b78-af3c-7a188cd48ee1 · outbound

This paper cites Estimates of spherical averages of Fourier transforms and dimensions of sets.Mathematika, 40(2):322–330, 1993.

Smooth projections of self-similar measures Estimates of spherical averages of Fourier transforms and dimensions of sets.Mathematika, 40(2):322–330, 1993

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source=pdf_text observed=2026-08-01T22:59:50.821007Z digest=sha256:b9753ee3755b20a9f478ad4fab20ae0195e0ef6fd5b16bbc695f691c638f1580

Observation df5affb2-d0e8-4bf9-819b-c69aa5811914 · outbound

This paper cites Notes on the transversality method for iterated function systems—a survey.Mathe- matical and Computational Applications, 28(3):65, 2023.

Smooth projections of self-similar measures Notes on the transversality method for iterated function systems—a survey.Mathe- matical and Computational Applications, 28(3):65, 2023

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source=pdf_text observed=2026-08-01T22:59:50.902685Z digest=sha256:89ee3e2abdbfc9e4f23daa1f09a9d0c4fbc1d8f72577f03aae5055f99a228847

Observation 6a57ed3d-cc48-4769-a83e-d6ec89d94012 · outbound

This paper cites Fourier decay and absolute continuity for typical homogeneous self-similar measures in ${\mathbb R}^d$ for $d\ge 3$.

Smooth projections of self-similar measures Fourier decay and absolute continuity for typical homogeneous self-similar measures in ${\mathbb R}^d$ for $d\ge 3$

Reference 57

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source=pdf_text observed=2026-08-01T22:59:51.020178Z digest=sha256:716a8113fbe0f5315cd56677db3ea2d1c66fc47733a1be3cdcf9678cff47b22f

Observation 41b007b6-78b6-49ad-a25e-f2ab895b696e · outbound

This paper cites Absolute continuity of self-similar measures on the plane.Indiana University Mathematics Journal, 74(4):1023–1097, 2025.

Smooth projections of self-similar measures Absolute continuity of self-similar measures on the plane.Indiana University Mathematics Journal, 74(4):1023–1097, 2025

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source=pdf_text observed=2026-08-01T22:59:51.082532Z digest=sha256:31a035f9292ae7f412095b2c540be02ec206f7d0d6eee6901438391be8b21754

Observation 05760969-4715-46d6-aca6-757ac24b13b4 · outbound

This paper cites Taylor.Partial differential equations, volume 23 ofTexts in Applied Mathematics.

Smooth projections of self-similar measures Taylor.Partial differential equations, volume 23 ofTexts in Applied Mathematics

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source=pdf_text observed=2026-08-01T22:59:51.195273Z digest=sha256:dae70d5ad25677abd532c6220a07315811f56cc35fe889a55e606605cb2928b4

Observation 3edbf820-d2d7-4fb1-a4bb-cae95498ac9d · outbound

This paper cites Birkhäuser, Basel, 1983.

Smooth projections of self-similar measures Birkhäuser, Basel, 1983

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source=pdf_text observed=2026-08-01T22:59:51.271706Z digest=sha256:10e5adad8683d2b2322b1d11878e94cb76f805dd2f445d161c548fdac9372ba3

Observation d4a07b61-6f23-4a9c-9911-c1f4d347b9de · outbound

This paper cites Random walks in compact groups.Documenta Mathematica, 18:1137–1175, 2013.

Smooth projections of self-similar measures Random walks in compact groups.Documenta Mathematica, 18:1137–1175, 2013

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source=pdf_text observed=2026-08-01T22:59:51.320818Z digest=sha256:ccbf9a2eb68e668c56272a344999c5248f457c344ae98501798edc16f50c8366

Observation 46d31dbf-b18a-4af4-bb66-f7df2f2390d5 · outbound

This paper cites Projection theorems with countably many exceptions and applications to the exact overlaps conjecture.arXiv preprint arXiv:2503.21923, 2025.

Smooth projections of self-similar measures Projection theorems with countably many exceptions and applications to the exact overlaps conjecture.arXiv preprint arXiv:2503.21923, 2025

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source=pdf_text observed=2026-08-01T22:59:51.372128Z digest=sha256:9e5f222159b9c28313cc6d33cda30c6340006ee9da6683a6491c476b36678eb6

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