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Testing Statistical Isotropy on the Sphere with Minkowski Tensors

As of 24 August 2026, this Paper Citation Record lists 100 of 105 outbound references and 0 inbound Pith citation observations for arXiv:2607.23973.

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pith.paper-citation-record.v1
2607.23973 v1

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measured 100 of 105 reference resolution

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Outbound references

Observation 4e09ae7d-2043-4eb0-bcb0-d4270ce2cfa1 · outbound

This paper cites We placeN p points randomly and isotropically distributed on the sphere, assigning each point anglesϕ i = 2πu i, θi = cos −1(2vi −1) whereu i, vi ∼ U(0,1] are uniformly distributed.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors We placeN p points randomly and isotropically distributed on the sphere, assigning each point anglesϕ i = 2πu i, θi = cos −1(2vi −1) whereu i, vi ∼ U(0,1] are uniformly distributed

Reference 1

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Observation 5d9a5914-e5fe-4c10-8b50-d91fb0120a64 · outbound

This paper cites Isotropy is broken by couplingℓandℓ±1 modes.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Isotropy is broken by couplingℓandℓ±1 modes

Reference 2

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Observation 48877804-198f-4aa9-b150-e7446ca83ecc · outbound

This paper cites an unresolved cited work.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Unresolved cited work

Reference 3

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Observation 713024ce-d7f6-4dbf-a389-496d4c9cc751 · outbound

This paper cites 1 +λ r 3 4π cosθ # = 0,⟨δ 2⟩=⟨δ 2 iso⟩.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors 1 +λ r 3 4π cosθ # = 0,⟨δ 2⟩=⟨δ 2 iso⟩

Reference 4

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Observation 1f4cc7cd-6893-47e9-807a-b88a4f87363e · outbound

This paper cites Battye and A.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Battye and A

Reference 5

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Observation 10959a07-06e3-4729-bf06-509b10134d57 · outbound

This paper cites Points/error bars are the mean and standard error ofN real = 400 realisations.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Points/error bars are the mean and standard error ofN real = 400 realisations

Reference 6

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Observation 0fbda78c-0abc-4a5c-b5f6-24ba6b32e0e9 · outbound

This paper cites an unresolved cited work.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Unresolved cited work

Reference 7

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Observation 3bf5e030-f1e8-4c09-8976-09a05c54617f · outbound

This paper cites The area enclosed by the four vertices (t 1,t 2,p k,p k+1) is added toW 0 and the length of the great arc segmente 12 between [t 1,t 2] onS 2 is added toW 1.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors The area enclosed by the four vertices (t 1,t 2,p k,p k+1) is added toW 0 and the length of the great arc segmente 12 between [t 1,t 2] onS 2 is added toW 1

Reference 8

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Observation a203f50a-fc54-4153-aa2f-46834c226a98 · outbound

This paper cites The area enclosed by the three vertices (t1,t 2,p k) is added toW 0 and the length|e 12|of the segment [t 1,t 2] onS 2 is added toW 1.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors The area enclosed by the three vertices (t1,t 2,p k) is added toW 0 and the length|e 12|of the segment [t 1,t 2] onS 2 is added toW 1

Reference 9

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Observation e4a20450-05ad-4435-847e-2772bda5d438 · outbound

This paper cites The Betti numbers are calculated using a graph search on adjacent triangles.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors The Betti numbers are calculated using a graph search on adjacent triangles

Reference 10

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Observation 92d503f1-521b-4f4a-8a77-51b9f0e4a6c6 · outbound

This paper cites Is the Observable Universe Consistent with the Cosmological Principle?.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Is the Observable Universe Consistent with the Cosmological Principle?

Reference 11

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Observation f3c12685-1f12-4c99-a43c-4e46924c1e05 · outbound

This paper cites A Test of the Cosmological Principle with Quasars.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors A Test of the Cosmological Principle with Quasars

Reference 12

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Observation 1316cfc0-0542-4189-b4f3-ccd13aa90d7a · outbound

This paper cites Jones, C.J.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Jones, C.J

Reference 13

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Observation 7efe7146-c897-4cc4-ad8e-13eb3f5c37c1 · outbound

This paper cites Asymmetries in the CMB anisotropy field.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Asymmetries in the CMB anisotropy field

Reference 14

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Observation c0c4f6de-3c93-4821-9770-8345b5463aa8 · outbound

This paper cites Power Asymmetry in Cosmic Microwave Background Fluctuations from Full Sky to Sub-degree Scales: Is the Universe Isotropic?.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Power Asymmetry in Cosmic Microwave Background Fluctuations from Full Sky to Sub-degree Scales: Is the Universe Isotropic?

Reference 15

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Observation b7bc889c-77eb-49c5-a155-9cdbf08b4602 · outbound

This paper cites Cosmic radio dipole from NVSS and WENSS.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Cosmic radio dipole from NVSS and WENSS

Reference 16

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Observation 1e55d0fe-5871-437e-b598-5773ec0c9043 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors A large disparity in cosmic reference frames determined from the sky distributions of radio sources and the microwave background radiation

Reference 17

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Observation 7be7494c-718b-4eef-8eb3-7248817b84f3 · outbound

This paper cites Measuring Statistical isotropy of the CMB anisotropy.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Measuring Statistical isotropy of the CMB anisotropy

Reference 18

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Observation aae0b693-e707-4932-8164-16a94689e511 · outbound

This paper cites The Cosmic Microwave Background Bipolar Power Spectrum: Basic Formalism and Applications.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors The Cosmic Microwave Background Bipolar Power Spectrum: Basic Formalism and Applications

Reference 19

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Observation cc67ba6a-55cc-4a9f-b7ef-898723894cc0 · outbound

This paper cites Integrated perturbation theory for cosmological tensor fields. I. Basic formulation.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Integrated perturbation theory for cosmological tensor fields. I. Basic formulation

Reference 20

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Observation 913e1019-874b-49b7-8c25-4af114418ca4 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Integrated perturbation theory for cosmological tensor fields. II. Loop corrections

Reference 21

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Observation 44cf54a0-fdfd-4d24-905a-1abb2f84e528 · outbound

This paper cites Integrated perturbation theory for cosmological tensor fields. III. Projection effects.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Integrated perturbation theory for cosmological tensor fields. III. Projection effects

Reference 22

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Observation 6540fd50-c28a-4ec9-b1be-b705f77331c1 · outbound

This paper cites Integrated perturbation theory for cosmological tensor fields. IV. Full-sky formulation.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Integrated perturbation theory for cosmological tensor fields. IV. Full-sky formulation

Reference 23

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Observation f5aebe45-b92e-40b6-b664-e3d0e556e37e · outbound

This paper cites Information content in anisotropic cosmological fields: Impact of different multipole expansion scheme for galaxy density and ellipticity correlations.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Information content in anisotropic cosmological fields: Impact of different multipole expansion scheme for galaxy density and ellipticity correlations

Reference 24

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Observation 42809fe2-54ac-4935-b1b8-1e5bdceb09b7 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Probing dipolar power asymmetry with galaxy clustering and intrinsic alignments

Reference 25

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Observation b1572a72-9db6-47f9-90c9-4c22c58a027a · outbound

This paper cites Robust Morphological Measures for Large-Scale Structure in the Universe.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Robust Morphological Measures for Large-Scale Structure in the Universe

Reference 26

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Observation 12840e1a-3cf6-471e-8352-24ddec86b97e · outbound

This paper cites Schmalzing, M.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Schmalzing, M

Reference 27

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Observation 72b86464-90c0-4157-a812-85fed33942d8 · outbound

This paper cites Limits on Primordial Non-Gaussianity from Minkowski Functionals of the WMAP Temperature Anisotropies.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Limits on Primordial Non-Gaussianity from Minkowski Functionals of the WMAP Temperature Anisotropies

Reference 28

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Observation 232434df-095f-468f-8d17-3ea7e71f692e · outbound

This paper cites Local analyses of Planck maps with Minkowski Functionals.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Local analyses of Planck maps with Minkowski Functionals

Reference 29

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Observation 24d4c597-d077-4dba-acfd-c6dc7e0eafa4 · outbound

This paper cites On Minkowski Functionals of CMB polarization.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors On Minkowski Functionals of CMB polarization

Reference 30

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Observation 76a82b8c-8192-4a76-b79f-3cd3b2e427c1 · outbound

This paper cites Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?

Reference 31

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Observation 3fe7643e-d464-4e0b-8727-07ad2670440b · outbound

This paper cites Gott, III, C.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Gott, III, C

Reference 32

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Observation 91e8df7e-c3a4-429c-956d-2cbc51ebd8bc · outbound

This paper cites Park and J.R.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Park and J.R

Reference 33

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Observation a34b79d8-e229-4f37-b5c2-594c46904c42 · outbound

This paper cites Beyond genus statistics: a unifying approach to the morphology of cosmic structure.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Beyond genus statistics: a unifying approach to the morphology of cosmic structure

Reference 34

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Observation 94a8060b-f46e-490f-ad00-137d14ce4521 · outbound

This paper cites Schmalzing and K.M.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Schmalzing and K.M

Reference 35

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Observation 3f9a6a9d-776d-4209-b9e4-1547dd798f50 · outbound

This paper cites Melott, A.P.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Melott, A.P

Reference 36

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Observation 749535e1-5e2e-4a13-82d6-85a05ef27fd6 · outbound

This paper cites Park, J.R.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Park, J.R

Reference 37

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Observation 0e6b97a3-77b2-40e4-a6e2-63fa0ba1eea9 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Fluctuations in the IRAS 1.2 Jy Catalogue

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Observation 32f12389-5a37-4552-b870-fbe73eb8ba78 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Park, J.R

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Observation db27e96b-c95d-4709-9de5-913fde23d8ed · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Park and Y.-R

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Observation 8ccb6024-f33a-4689-a2f7-cb6f334d13a2 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Zunckel, J.R

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Observation 5118210b-6f8c-4249-a012-39d99df922f2 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Shapefinders: A new shape diagnostic for large scale structure

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Observation 022ca5ec-9e58-4032-a350-810d4de26516 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Evidence for Filamentarity in the Las Campanas Redshift Survey

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source=pdf_text observed=2026-07-31T23:27:09.605598Z digest=sha256:2c186b2b1a93e61088cf27da901968d6eae81f80247bcfecfed964deac656803

Observation dd0ef839-7b95-4455-b07b-85cbb46a0cc0 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Matsubara,Statistics of Smoothed Cosmic Fields in Perturbation Theory

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source=pdf_text observed=2026-07-31T23:27:09.654093Z digest=sha256:5ee97f12f0d2cab01f329be0749a208de99f73db751cc2abceaca9b2ddb6c39e

Observation ef902dad-00ac-4be6-8efb-866f15efcad8 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Probing Dark Energy with Alpha Shapes and Betti Numbers

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source=pdf_text observed=2026-07-31T23:27:09.745521Z digest=sha256:e9f34e56a41ab88b5703e9d5d3c57ec76348651796bab8758c3f422ce1dc278a

Observation b1a25bf0-5559-42a4-8c92-f7f3896a0ef2 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Betti numbers of Gaussian fields

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source=pdf_text observed=2026-07-31T23:27:09.840433Z digest=sha256:8eb888bbbb48f2559acdf0445039c610fce4d92fee6677edb67088ecd9bb383f

Observation d5ccbf39-b98c-4237-bcad-42227fcae1a8 · outbound

This paper cites Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web

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source=pdf_text observed=2026-07-31T23:27:09.953738Z digest=sha256:c8e152f336ec5ecc172776ee67631f7a07ba02390127a62bb2d5b796745341a2

Observation 8bb735d6-4f53-44ab-b21a-c39279a44695 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Residual foreground contamination in the WMAP data and bias in non-Gaussianity estimation

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source=pdf_text observed=2026-07-31T23:27:10.022151Z digest=sha256:97b0929e2d564b55df4a88f1d31bc562ff148b99770e2ae83aa570ae83d15bfb

Observation 5cb3f542-1e47-4763-a2af-adbb0b768a85 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Felix: A Topology based Framework for Visual Exploration of Cosmic Filaments

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source=pdf_text observed=2026-07-31T23:27:10.115052Z digest=sha256:e5855883167c18daaf4707d336df722ae2db4abdd51692ee6c9d53aa7a11af48

Observation 75b76e10-44df-4687-a85e-68788f4f8e90 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors The Topology of the Cosmic Web in Terms of Persistent Betti Numbers

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source=pdf_text observed=2026-07-31T23:27:10.246919Z digest=sha256:8813b695cfd45f5519933c0ddcaba113f0641729551d0040cfdfb3aa4954baaf

Observation b151b857-bd44-49cf-b182-0799b96330a7 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background

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source=pdf_text observed=2026-07-31T23:27:10.352913Z digest=sha256:bc26e1526f9c31d9373fe914e8b3548ca73ac246443e993da84250839ddb0b72

Observation aca127f7-a2ee-4ba6-8db0-8c75a133c6fa · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals

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source=pdf_text observed=2026-07-31T23:27:10.435513Z digest=sha256:259bf7af2bed8eca1152627f3b43db29322f83e78d26fc0214230c7179735dce

Observation ca987306-e04c-4cd9-8041-44737df93c97 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams

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source=pdf_text observed=2026-07-31T23:27:10.529905Z digest=sha256:eeb5ceb03e2acc8b285184e4f41f712c4b8f8a557bc1f476f9840d5f6826fd0f

Observation 3c46389b-4f9f-4b64-a689-585ec07df0e0 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies

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source=pdf_text observed=2026-07-31T23:27:10.642755Z digest=sha256:9039c37830f432d3339c46d4ffaf8030411aaf2f0ebf20aa37085c05b2af4da0

Observation f7c1e322-3c8a-4899-a929-04b05a4851f9 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Morphology of Weak Lensing Convergence Maps

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source=pdf_text observed=2026-07-31T23:27:10.735900Z digest=sha256:11185f871279561cba507002df7ec9c56e17fd58622672f750dda9c6c570cbc6

Observation 7ee3180b-d1dc-4726-9b08-a3a1e754efeb · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Probing massive neutrinos with the Minkowski functionals of large-scale structure

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source=pdf_text observed=2026-07-31T23:27:10.830777Z digest=sha256:3ba2c343f73c8f629377f50a2c060a256fcbb7fd9559f7c26597db016b3c936d

Observation 0b6bc16a-28cf-4c74-83a5-6c45c0e81ce4 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Probing massive neutrinos with the Minkowski functionals of the galaxy distribution

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source=pdf_text observed=2026-07-31T23:27:10.928450Z digest=sha256:beaab6aefc6604792395483ae019957663b044160b97e342f917c072c590d8e7

Observation 817bf919-b84d-46a5-9bc4-32b63567bd87 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Cosmological constraints from the Minkowski functionals of the BOSS CMASS galaxy sample

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source=pdf_text observed=2026-07-31T23:27:10.984960Z digest=sha256:b537a7d136d21e3f07a2c50430c62af176d7811239ee40f5d0934db2e6e6f05a

Observation 6017e91a-44f7-47ff-b8b1-3b0f267f355f · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Non-Gaussianity of diffuse Galactic synchrotron emission at 408 MHz

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source=pdf_text observed=2026-07-31T23:27:11.051157Z digest=sha256:a192d3e585eb6e574a7144cee4151a1e56221e1558834506a240fd560f50149e

Observation 9055c5a8-1b9c-4281-8eb1-7bfb113adcc7 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors The nature of non-Gaussianity and statistical isotropy of the 408 MHz Haslam synchrotron map

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source=pdf_text observed=2026-07-31T23:27:11.129075Z digest=sha256:ff416defe8d20e0a9c780fc0862a9358dd0702f55f81ed332c69810f6a0b091e

Observation fea8ed10-2964-47b6-9b9a-3e549c699117 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Afzal, M

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source=pdf_text observed=2026-07-31T23:27:11.212829Z digest=sha256:45e033b8fd21ce997922f735a8b77a3330786c78eb013e981530ae6287238f84

Observation 00b5ac1f-3907-4b7f-9e33-1342038d1145 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Santalo,Integral geometry and geometric probability, Addison-Wesley Pub

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source=pdf_text observed=2026-07-31T23:27:11.285778Z digest=sha256:88100a4a5827341e98a5c685ff4be7a44855c783453d759e736b99739fed389a

Observation 2e00cf88-8c11-44bc-bff0-f0143da2596e · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors McMullen,Isometry covariant valuations on convex bodies,Rend

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Observation 2c531c8e-dad6-430e-bd35-963ab4fbb000 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Alesker,Description of continuous isometry covariant valuations on convex sets,Geometriae Dedicata74(1999) 241

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source=pdf_text observed=2026-07-31T23:27:11.416830Z digest=sha256:606d5efd6394e7c42429a0560f32c9b117b39ec2286e7e4a712bc62e18eefe6d

Observation 52c70926-3983-4975-a8f2-513600479c1a · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Beisbart, R

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source=pdf_text observed=2026-07-31T23:27:11.524866Z digest=sha256:56f05bb2a41f14f8f01086f05682395e171e3f4a89a58c100aae5e33e099660a

Observation 9eddc702-1dac-4a63-8f99-8ad541ca0c6d · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Unresolved cited work

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Observation e7aadf87-86b8-4a78-9212-4a7f04f56a35 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Schroder-Turk, W

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Observation 3ef546d9-fcbb-4534-927d-8750a9685bc2 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Schroder-Turk, S

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source=pdf_text observed=2026-07-31T23:27:11.864330Z digest=sha256:d070197c035df177f2a10225ee43574da7bff94df6166cf7976bd8e6db9e9434

Observation 7b627fab-24a9-49df-81c5-7c8858ae2511 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Beisbart, T

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source=pdf_text observed=2026-07-31T23:27:11.985203Z digest=sha256:d2ba48a8c966fee78bbb4fcfb342856f6abe782572e2b37cc39fd1cb9a63eac9

Observation 869c1de5-5a39-4f45-af39-45087b846688 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Hadwiger,Vorlesungen ¨ uber Inhalt, Oberfl¨ ache und Isoperimetrie, Springer, Grundlehren der mathematischen Wissenschaften (1957)

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source=pdf_text observed=2026-07-31T23:27:12.154744Z digest=sha256:16882e406c2d38a63eb4a4a1606b17ec66d3fa853c1f6d1dd6edfae8bd6123b9

Observation 8804bec4-da26-49da-bd4e-3999b09eff37 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Matheron,Random sets and integral geometry, Wiley New York (1974)

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Observation 35aec191-cc92-4603-aadd-c404f3334b7c · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Morphometry on the sphere: Cartesian and irreducible Minkowski tensors explained and implemented

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source=pdf_text observed=2026-07-31T23:27:12.470155Z digest=sha256:5033c170e3162b0c28cbb0bf3e8a0aedf53ea1d395c369dddedc9c6d328ddd54

Observation 926d7afe-9ae8-48fd-a52b-22cfaf9747e6 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Rehse, K

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Observation 4f1d4066-5eee-411e-9852-aee51ba70067 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Becker, G

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Observation f0e18707-2dde-492d-93a6-dd56bc7985e3 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Olszowka, M

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source=pdf_text observed=2026-07-31T23:27:12.887067Z digest=sha256:73b6cdf1f6e654895c62c79b9b93cc6608e03c22a22670c13cd57fb10885cdeb

Observation 448c6798-b1fa-4c05-b4f5-2f91105cf60c · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Beisbart, R

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source=pdf_text observed=2026-07-31T23:27:13.034722Z digest=sha256:818b7a4cc71f3689dc03943c44f4db9030ec0ee44aee9f67039f3e0440430550

Observation 8e6580a9-9f41-4650-9771-523ba60af341 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Tensor Minkowski Functionals: first application to the CMB

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Observation af4d421d-a7c4-4f2d-a4c7-a9448a90e988 · outbound

This paper cites Tensor Minkowski Functionals for random fields on the sphere.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Tensor Minkowski Functionals for random fields on the sphere

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Observation c95c90a7-377c-425d-ae69-b746efdff632 · outbound

This paper cites The geometrical meaning of statistical isotropy of smooth random fields in two dimensions.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors The geometrical meaning of statistical isotropy of smooth random fields in two dimensions

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Observation 7ad910ec-cb4c-4ba0-ad00-3a2a2f016d3f · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Unresolved cited work

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Observation ed17b097-cbc0-4f5a-a9c7-4c1e249dd508 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Unresolved cited work

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Observation 36fb6419-8b5a-478f-a7bb-2c252e4a6073 · outbound

This paper cites Morphology of CMB fields -- effect of weak gravitational lensing.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Morphology of CMB fields -- effect of weak gravitational lensing

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Observation 42002ca6-dbe2-4643-8003-febc8e08f76d · outbound

This paper cites Local patch analysis for testing statistical isotropy of the Planck convergence map.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Local patch analysis for testing statistical isotropy of the Planck convergence map

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Observation c9e144f1-efc7-408d-9694-827c1883db92 · outbound

This paper cites A novel probe of bubble size statistics and time scales of the epoch of reionization using the contour Minkowski Tensor.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors A novel probe of bubble size statistics and time scales of the epoch of reionization using the contour Minkowski Tensor

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Observation 66827f65-0a0a-42fa-823d-c1b4a40623e7 · outbound

This paper cites Morphology of 21cm brightness temperature during the Epoch of Reioinization using Contour Minkowski Tensor.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Morphology of 21cm brightness temperature during the Epoch of Reioinization using Contour Minkowski Tensor

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Observation 1c6fe797-c31f-4c36-b216-dd5507d835f9 · outbound

This paper cites Prospects of constraining reionization model parameters using Minkowski tensors and Betti numbers.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Prospects of constraining reionization model parameters using Minkowski tensors and Betti numbers

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Observation 42d273b6-d46f-4aae-b1cb-5c6eb2c77f85 · outbound

This paper cites Appleby, P.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Appleby, P

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Observation 17e17eb8-892c-44fe-92a0-0fef667e5e26 · outbound

This paper cites Minkowski Tensors in Three Dimensions - Probing the Anisotropy Generated by Redshift Space Distortion.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Minkowski Tensors in Three Dimensions - Probing the Anisotropy Generated by Redshift Space Distortion

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Observation 77500b88-9448-4f56-bc73-ea6f4d27b294 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Ensemble Average of Three-Dimensional Minkowski Tensors of a Gaussian Random Field in Redshift Space

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Observation bb77257e-f84c-4191-823e-5c79ce1aa4f2 · outbound

This paper cites Appleby, J.P.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Appleby, J.P

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Observation a50f83bb-827a-479f-8226-1f0a862a13b6 · outbound

This paper cites Non-Gaussian Expansion of Minkowski Tensors in Redshift Space.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Non-Gaussian Expansion of Minkowski Tensors in Redshift Space

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Observation 0fd51d34-d5b2-43fc-8d96-2bb5d174dbcb · outbound

This paper cites Klatt, M.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Klatt, M

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Observation cd4426e5-e460-4d59-8ab4-dc7c03805670 · outbound

This paper cites Schaller, J.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Schaller, J

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Observation 9e00f12d-b83c-410b-811d-a9349c965f74 · outbound

This paper cites Probing the Anisotropy and Non-Gaussianity in the Redshift Space through the Conditional Moments of the First Derivative.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Probing the Anisotropy and Non-Gaussianity in the Redshift Space through the Conditional Moments of the First Derivative

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Observation 779c30a2-312d-4ddf-9fa4-8d8112b2ffe8 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Impact of Redshift Space Distortion on Persistent Homology of cosmic matter density field

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Observation 46afa62a-0b39-420c-9f4a-4d13540ee080 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Quantifying Weighted Morphological Content of Large-Scale Structures via Simulation-Based Inference

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source=pdf_text observed=2026-07-31T23:27:14.932174Z digest=sha256:92ed83cf34b7f3f952c4d7faee99dc744dda330624c16b47405b8c0a48c51942

Observation 942270a4-2fee-4fea-84f5-f650ed7168c4 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Statistical Isotropy of the CMB E-mode signal

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source=pdf_text observed=2026-07-31T23:27:14.993143Z digest=sha256:8f90e954ccea64144695d2966f5876573e32e92c3ca3bc4fec8c17c378f451f7

Observation 75e1836b-686f-4761-ac55-d5aad874bf8a · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Local patch analysis of ACT DR6 convergence map using morphological statistics

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Observation 7b22f12f-ee44-4ced-b7dc-bc055cf10025 · outbound

This paper cites Miralda-Escude,The Correlation Function of Galaxy Ellipticities Produced by Gravitational Lensing, ApJ380(1991) 1.

Testing Statistical Isotropy on the Sphere with Minkowski Tensors Miralda-Escude,The Correlation Function of Galaxy Ellipticities Produced by Gravitational Lensing, ApJ380(1991) 1

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Observation ca19041c-a4a5-4e01-a8e0-86201b7c9358 · outbound

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Testing Statistical Isotropy on the Sphere with Minkowski Tensors Kaiser,Weak gravitational lensing of distant galaxies,Astrophys

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