Paper Citation Record · LEDGER

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates

As of 18 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2603.15328.

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2603.15328 v3

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measured 49 of 49 reference resolution

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measured 49 of 49 standing notices

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49 of 49 outbound references displayed

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Outbound references

Observation 415d9e28-55dc-4aaa-90dd-b177eaf0638b · outbound

This paper cites Agmon and L.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Agmon and L

Reference 1

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Observation 53d8e2cd-579c-4407-9f51-947f96a6c2b5 · outbound

This paper cites On some non-linear projections of self-similar sets inR3.Fund.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates On some non-linear projections of self-similar sets inR3.Fund

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Observation 622805a7-17a7-49b7-bee9-1143a21942f2 · outbound

This paper cites Hausdorff dimension and distance sets.Israel J.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Hausdorff dimension and distance sets.Israel J

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Observation 3195afde-82db-449e-b270-cda49a44afca · outbound

This paper cites On the Erd˝ os-Volkmann and Katz-Tao ring conjectures.Geom.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates On the Erd˝ os-Volkmann and Katz-Tao ring conjectures.Geom

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Observation 115c2ee9-451e-4322-942a-ab1012d3e3eb · outbound

This paper cites A Counterexample to the Mizohata-Takeuchi Conjecture.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates A Counterexample to the Mizohata-Takeuchi Conjecture

Reference 5

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Observation dbca60c7-cb29-46b0-9ae9-143d892e33f5 · outbound

This paper cites Power loss for the Mizohata-Takeuchi conjecture onC k convex hypersurfaces.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Power loss for the Mizohata-Takeuchi conjecture onC k convex hypersurfaces

Reference 6

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Observation 059a01aa-5bc9-44dc-a039-3a418daff99c · outbound

This paper cites H¨ anninen, and Stef´ an Ingi Valdimarsson.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates H¨ anninen, and Stef´ an Ingi Valdimarsson

Reference 7

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Observation 4a7d9070-d56c-40b0-99cd-8f5d40b9ac06 · outbound

This paper cites Some sharp inequalities of Mizohata- Takeuchi-type.Rev.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Some sharp inequalities of Mizohata- Takeuchi-type.Rev

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Observation 99467e95-6cda-485c-9548-30c52e560688 · outbound

This paper cites A weighted formulation of refined decoupling and inequalities of mizohata-takeuchi-type for the moment curve, 2025.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates A weighted formulation of refined decoupling and inequalities of mizohata-takeuchi-type for the moment curve, 2025

Reference 9

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Observation 9d53bbae-97b0-4273-b23a-b6037240a37e · outbound

This paper cites Cambridge University Press, Cambridge, 2020.doi:10.1017/ 9781108584401.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Cambridge University Press, Cambridge, 2020.doi:10.1017/ 9781108584401

Reference 10

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Observation 09a0d0a9-ee44-416f-be82-b8b1341229e2 · outbound

This paper cites Weighted restriction estimates and application to Falconer distance set problem.Amer.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Weighted restriction estimates and application to Falconer distance set problem.Amer

Reference 11

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Observation 8ea20e24-de57-4d85-b1e7-625984f9b502 · outbound

This paper cites An improved result for Falconer’s distance set problem in even dimensions.Math.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates An improved result for Falconer’s distance set problem in even dimensions.Math

Reference 12

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Observation 089faf03-76b8-4255-9a16-8a6f01aa23c5 · outbound

This paper cites New improvement to Falconer distance set problem in higher dimensions.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates New improvement to Falconer distance set problem in higher dimensions

Reference 13

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Observation f122a554-ef35-44fc-9161-6c75d922fb18 · outbound

This paper cites Weighted refined decoupling estimates and application to Falconer distance set problem.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Weighted refined decoupling estimates and application to Falconer distance set problem

Reference 14

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Observation 015a423e-7279-4af7-806f-2b622c3e0ca3 · outbound

This paper cites SharpL 2 estimates of the Schr¨ odinger maximal function in higher dimensions.Ann.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates SharpL 2 estimates of the Schr¨ odinger maximal function in higher dimensions.Ann

Reference 15

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Observation 0fe9122a-897b-4407-9df4-31a1017b0da6 · outbound

This paper cites Burak Erdo˘ gan.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Burak Erdo˘ gan

Reference 16

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Observation 00eead70-c85a-4f23-b25b-f244a2ab6021 · outbound

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Unresolved cited work

Reference 17

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Observation 89e763ec-ca73-4187-8ce3-7785932ed967 · outbound

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Unresolved cited work

Reference 18

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Observation e65607b4-17e6-4818-b1bf-4143ea23351d · outbound

This paper cites Fraser, and Tuomas Sahlsten.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Fraser, and Tuomas Sahlsten

Reference 19

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Observation cf0bd78f-61bd-4f84-a704-b38c47e10de2 · outbound

This paper cites Dimension of Pinned Distance Sets for Semi-Regular Sets.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Dimension of Pinned Distance Sets for Semi-Regular Sets

Reference 20

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Observation 3c81d4e0-2715-4e72-945d-0089ce17830d · outbound

This paper cites Pinned distances of planar sets with low dimension.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Pinned distances of planar sets with low dimension

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Observation bbc3aaaa-455e-4af0-a6c4-098997b85b19 · outbound

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Unresolved cited work

Reference 22

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Observation 6917b33b-e65b-476c-a107-82c7b06e133e · outbound

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Unresolved cited work

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Observation 95317c6e-7fc9-4545-a679-ed46e1da757f · outbound

This paper cites Fraser and Mark Pollicott.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Fraser and Mark Pollicott

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Observation f0209c79-3850-420d-8cc9-9fc4507df653 · outbound

This paper cites An enemy scenario in restriction theory.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates An enemy scenario in restriction theory

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Observation fcdb1010-5903-4de1-8183-a25a6c2b50a1 · outbound

This paper cites On Falconer’s distance set problem in the plane.Invent.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates On Falconer’s distance set problem in the plane.Invent

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Observation dad1fa0f-aa86-46e3-89c4-31be90a1db38 · outbound

This paper cites Falconer distance problem, additive energy and cartesian products.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Falconer distance problem, additive energy and cartesian products

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Observation cdc090d6-18d2-4a0c-a538-5efb73202009 · outbound

This paper cites Some connections between Falconer’s distance set conjecture and sets of Furstenburg type.New York J.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Some connections between Falconer’s distance set conjecture and sets of Furstenburg type.New York J

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Observation f0b955ba-2a9e-4323-b585-c95bdabff1ca · outbound

This paper cites New bounds on the dimensions of planar distance sets.Geom.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates New bounds on the dimensions of planar distance sets.Geom

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Observation 4f6f3fb4-30be-46fb-b709-ff2da78a6047 · outbound

This paper cites AnL 2-identity and pinned distance problem.Geom.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates AnL 2-identity and pinned distance problem.Geom

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Observation 2d71caa2-93a2-4d67-badf-5e388f681db0 · outbound

This paper cites Hausdorff dimension of pinned distance sets and theL 2-method.Proc.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Hausdorff dimension of pinned distance sets and theL 2-method.Proc

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Observation 0bc45a71-476f-484a-8fc6-aaed7446a6d4 · outbound

This paper cites Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures.Rev.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures.Rev

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Observation e208acb7-db00-4651-b6db-3d535cc7d1bd · outbound

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

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Spherical averages of Fourier transforms of measures with finite energy; dimension of intersections and distance sets.Mathematika, 34(2):207–228, 1987

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Observation daf47ac9-ef09-44ac-bd4f-674b536f631a · outbound

This paper cites Cambridge University Press, Cambridge, 1995.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Cambridge University Press, Cambridge, 1995

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Observation c2dbd1b3-a1e5-477e-a215-72ae4caea573 · outbound

This paper cites Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type

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Observation 79f2b56f-803d-47be-9611-74fbcc725cd2 · outbound

This paper cites On the distance sets of self-similar sets.Nonlinearity, 25(6):1919–1929, 2012.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates On the distance sets of self-similar sets.Nonlinearity, 25(6):1919–1929, 2012

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Observation c346a7bc-f1af-4fe9-b749-7275a69d352c · outbound

This paper cites On the distance sets of Ahlfors-David regular sets.Adv.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates On the distance sets of Ahlfors-David regular sets.Adv

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Observation 9619bccf-5c24-4990-85bc-c56f02e86eea · outbound

This paper cites On the dimension and smoothness of radial projections.Anal.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates On the dimension and smoothness of radial projections.Anal

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Observation 18044275-6c63-4b98-87b8-2fe627bc57a7 · outbound

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

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions.Duke Math

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Observation 9fd66e94-6ca4-46b2-8914-7425ac8c1c01 · outbound

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates A nonlinear version of bourgain’s projection theorem.J

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Observation 2dd12dc9-de52-4d8e-8b06-dbdb206b09cf · outbound

This paper cites On the Hausdorff dimension of pinned distance sets.Israel J.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates On the Hausdorff dimension of pinned distance sets.Israel J

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Observation 08be49ae-8a9b-4308-ba3f-e8c2fd256128 · outbound

This paper cites Improved bounds for the dimensions of planar distance sets.J.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Improved bounds for the dimensions of planar distance sets.J

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Observation 27391e58-af87-412e-89a6-4e6032fb0229 · outbound

This paper cites On the distance sets spanned by sets of dimensiond/2 inR d.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates On the distance sets spanned by sets of dimensiond/2 inR d

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Observation 6a4bc123-afa1-47cd-a27c-4d9e2df400b9 · outbound

This paper cites Stein.Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, volume 43 ofPrinceton Mathematical Series.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Stein.Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, volume 43 ofPrinceton Mathematical Series

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Pinned Distance Sets Using Effective Dimension

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Observation eebe8954-3440-42fc-85fc-204f0e63eef1 · outbound

This paper cites An improvement of the pinned distance set problem in even dimensions.Colloq.

Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates An improvement of the pinned distance set problem in even dimensions.Colloq

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Decay of circular means of Fourier transforms of measures.Internat

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Observation c9dfe4da-a2e3-47f2-b231-2d2d76a6bf3f · outbound

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Unresolved cited work

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Observation 99a629a6-3bf9-48ec-8c4b-08fc9fe1b95f · outbound

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Lebesgue measure of distance sets with regular pins and multi-scale Mizohata-Takeuchi-type estimates Unresolved cited work

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