Paper Citation Record · LEDGER

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions

As of 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.27041.

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pith.paper-citation-record.v1
2607.27041 v1

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measured 36 of 36 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-30T12:57:39.632517Z

measured 36 of 36 standing notices

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36 of 36 outbound references displayed

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Outbound references

Observation 8419c82d-680d-4efd-b879-4884a6997863 · outbound

This paper cites A simplex-based measure of symmetry.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions A simplex-based measure of symmetry

Reference 1

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Observation 87eb7423-cca0-4157-907e-1803773815ae · outbound

This paper cites Stability of some versions of the Pr´ ekopa–Leindler inequality.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Stability of some versions of the Pr´ ekopa–Leindler inequality

Reference 2

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Observation acd6946e-7c8a-4913-b3a0-f8737198bfb0 · outbound

This paper cites On the symmetry function of a convex set.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions On the symmetry function of a convex set

Reference 3

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Observation 598448fc-edaf-4a00-9e69-99e0df24a92f · outbound

This paper cites Distances between non-symmetric convex bodies: optimal bounds up to polylog.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Distances between non-symmetric convex bodies: optimal bounds up to polylog

Reference 4

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Observation b163682e-39bb-4176-bd89-0b892f47c3a0 · outbound

This paper cites The stability of the Rogers–Shephard inequality and of some related inequal- ities.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions The stability of the Rogers–Shephard inequality and of some related inequal- ities

Reference 5

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Observation 8ccccd7b-4c76-4402-922b-befa246b31af · outbound

This paper cites Stability of the Blaschke–Santal´ o and the affine isoperimetric inequality.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Stability of the Blaschke–Santal´ o and the affine isoperimetric inequality

Reference 6

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Observation 0eff8da8-5742-4596-9970-e80b388c03b6 · outbound

This paper cites On Ball's conjectured Santal\'o type inequality.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions On Ball's conjectured Santal\'o type inequality

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-30T12:57:39.471306Z

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Observation a1641674-a877-469f-8fcc-d895adf686a2 · outbound

This paper cites Tightening and reversing the arithmetic-harmonic mean inequality for symmetrizations of convex bodies.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Tightening and reversing the arithmetic-harmonic mean inequality for symmetrizations of convex bodies

Reference 8

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Observation 9acbaace-e469-49e4-9e6d-564e70ba59f2 · outbound

This paper cites The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant

Reference 9

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Observation b58e5446-25e8-4565-8855-a701828b9361 · outbound

This paper cites Tightening inequalities on volume-extremalk-ellipsoids using asymmetry measures.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Tightening inequalities on volume-extremalk-ellipsoids using asymmetry measures

Reference 10

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Observation 317c25f7-350f-41f0-888f-f5ac08872db4 · outbound

This paper cites No dimension-independent core-sets for containment under homothetics.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions No dimension-independent core-sets for containment under homothetics

Reference 11

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Observation ff8da152-39b5-434c-b376-e0c28fb38e78 · outbound

This paper cites Sharpening geometric inequalities using computable symmetry measures.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Sharpening geometric inequalities using computable symmetry measures

Reference 12

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Observation b1f95c01-6303-4131-838d-c29613d36cb3 · outbound

This paper cites On Banach–Mazur distance between planar convex bodies.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions On Banach–Mazur distance between planar convex bodies

Reference 13

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Observation 42caa49a-8bbb-430b-8c21-015ad83a747b · outbound

This paper cites Linear and sublinear diversities.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Linear and sublinear diversities

Reference 14

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Observation c4e40448-16f7-43a9-a7e0-62fbc21b3877 · outbound

This paper cites Minkowski chirality: a measure of reflectional asymmetry of convex bodies.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Minkowski chirality: a measure of reflectional asymmetry of convex bodies

Reference 15

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Observation d48142a1-83c0-43c2-a933-3871c5d1f7ae · outbound

This paper cites Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 16

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Observation 9f96e082-feae-4318-bef5-feaba65a22c7 · outbound

This paper cites A mass transportation approach to quantitative isoperi- metric inequalities.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions A mass transportation approach to quantitative isoperi- metric inequalities

Reference 17

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Observation c19f9275-ddc2-4965-ab4f-5dcc1578a9b1 · outbound

This paper cites The sharp quantitative isoperimetric inequality.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions The sharp quantitative isoperimetric inequality

Reference 18

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Observation 5ddfd4e7-979b-41fb-aac7-10b393deff52 · outbound

This paper cites John’s decomposition in the general case and applications.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions John’s decomposition in the general case and applications

Reference 19

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Observation 5bdac8af-55f0-41dd-aabc-7d627c3cd942 · outbound

This paper cites Measures of symmetry for convex sets.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Measures of symmetry for convex sets

Reference 20

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Observation bb1f24cd-b26c-40fd-b755-c330e4e8dd76 · outbound

This paper cites Exact Banach–Mazur distances between certain classes of polygons.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Exact Banach–Mazur distances between certain classes of polygons

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-30T12:57:39.547226Z

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Observation deeae4c0-208a-4ae9-a975-7911934b0569 · outbound

This paper cites Exact Banach–Mazur distances of certainℓ p-sums and cones.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Exact Banach–Mazur distances of certainℓ p-sums and cones

Reference 22

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Observation 5e1557f1-8daf-4967-bc5c-364af1659837 · outbound

This paper cites Stability of the Minkowski measure of asymmetry for convex bodies.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Stability of the Minkowski measure of asymmetry for convex bodies

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-30T12:57:39.557107Z

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Observation 75cd35e8-ded9-4051-b802-ccd9267cd87f · outbound

This paper cites On asymmetry of some convex bodies.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions On asymmetry of some convex bodies

Reference 24

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Observation cc907429-bbf1-428b-b039-029dbe5d0d04 · outbound

This paper cites A stability result for a volume ratio.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions A stability result for a volume ratio

Reference 25

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Observation 642b093c-e46f-4862-b7c1-579e6c55a4ed · outbound

This paper cites On the extremal distance between two convex bodies.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions On the extremal distance between two convex bodies

Reference 26

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Observation 6b63a951-e37d-4b24-8310-e232cf9b1e71 · outbound

This paper cites Extremum problems with inequalities as subsidiary conditions.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Extremum problems with inequalities as subsidiary conditions

Reference 27

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Observation 4c6e196d-7699-41dc-8863-b6887327ad80 · outbound

This paper cites The critical set of a convex body.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions The critical set of a convex body

Reference 28

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Observation 3e0eb8bc-c13a-4f45-bdaa-efc472e0ea32 · outbound

This paper cites Stability result for the extremal Gr¨ unbaum distance between convex bodies.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Stability result for the extremal Gr¨ unbaum distance between convex bodies

Reference 29

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Observation 5784bcda-3c2a-48a2-a814-864eb8ceecae · outbound

This paper cites ¨Uber die affine Exzentrizit¨ at konvexer K¨ orper.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions ¨Uber die affine Exzentrizit¨ at konvexer K¨ orper

Reference 30

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Observation 98f06f4d-e2af-4802-97bb-a05c023edb91 · outbound

This paper cites Partition bounded sets into sets having smaller diameters.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Partition bounded sets into sets having smaller diameters

Reference 31

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Observation 0c0d4547-2e57-4ca6-89d0-5ee77a1955e7 · outbound

This paper cites Three quantitative versions of the P´ al inequality.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Three quantitative versions of the P´ al inequality

Reference 32

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Observation e8b90d6a-1364-48fb-8b8d-8796846dfc56 · outbound

This paper cites Minkowski spaces with extremal distance from the Euclidean space.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Minkowski spaces with extremal distance from the Euclidean space

Reference 33

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Observation c65b53dc-bf43-4ede-beae-c6271225c7f3 · outbound

This paper cites The only convex body with extremal distance from the ball is the simplex.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions The only convex body with extremal distance from the ball is the simplex

Reference 34

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Observation 1faee195-6721-46ec-b947-d282cd1ad102 · outbound

This paper cites Distances between non-symmetric convex bodies and theM M ∗-estimate.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Distances between non-symmetric convex bodies and theM M ∗-estimate

Reference 35

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Observation 5041f87a-b516-4661-8afa-f3fd3f9bfb72 · outbound

This paper cites Stability for some extremal properties of the simplex.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Stability for some extremal properties of the simplex

Reference 36

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