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Paper Citation Record · LEDGER
Gr\"unbaum's inequality for Gaussian and convex probability measures
As of 23 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2507.06759.
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52 of 52 outbound references displayed
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- verified fuzzy49
- unresolved2
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Outbound references
Observation 091c6cda-6759-44b7-946b-5c0fc16d9cef · outbound
This paper cites Moment estimates for convex measures.
Gr\"unbaum's inequality for Gaussian and convex probability measures Moment estimates for convex measures
Reference 1
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Observation 1cfb028c-12ca-46b7-958a-10aabf7eaf73 · outbound
This paper cites On Rogers-Shephard type inequalities for general measures.
Gr\"unbaum's inequality for Gaussian and convex probability measures On Rogers-Shephard type inequalities for general measures
Reference 2
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9f68b4aa-be6d-4d60-b0f5-5f0134152ea1 · outbound
This paper cites A general functional version of Grünbaum’s inequality.
Gr\"unbaum's inequality for Gaussian and convex probability measures A general functional version of Grünbaum’s inequality
Reference 3
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Observation fa100c28-eec8-4c42-90cf-e4fa64439400 · outbound
This paper cites The Santaló point of a function, and a functional form of the Santaló inequality.
Gr\"unbaum's inequality for Gaussian and convex probability measures The Santaló point of a function, and a functional form of the Santaló inequality
Reference 4
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 05146534-5234-4e2f-95ce-e81c9b15d1f9 · outbound
This paper cites Extremal properties of half-spaces for log-concave distributions.
Gr\"unbaum's inequality for Gaussian and convex probability measures Extremal properties of half-spaces for log-concave distributions
Reference 5
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Observation de6d1003-90d1-426e-864a-a55826b236e3 · outbound
This paper cites A localized proof of the isoperimetric Bakry-Ledoux inequality and some applications.
Gr\"unbaum's inequality for Gaussian and convex probability measures A localized proof of the isoperimetric Bakry-Ledoux inequality and some applications
Reference 6
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- raw_fallback, observed 2026-08-06T19:08:01.384245Z
Source-reported events for the cited work
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Observation 13e562ba-8357-4f9f-9844-ecde927827db · outbound
This paper cites Characterization of Gaussian measures in terms of the isoperimetric property of half-spaces.
Gr\"unbaum's inequality for Gaussian and convex probability measures Characterization of Gaussian measures in terms of the isoperimetric property of half-spaces
Reference 7
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- raw_fallback, observed 2026-08-06T19:08:01.376123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6c6ee6c1-1267-413b-aae5-67639108168e · outbound
This paper cites Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures.
Gr\"unbaum's inequality for Gaussian and convex probability measures Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures
Reference 8
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- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.368378Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5d968b88-a06a-49e9-a335-cc78009bd3d1 · outbound
This paper cites Large deviations and isoperimetry over convex probability measures with heavy tails.
Gr\"unbaum's inequality for Gaussian and convex probability measures Large deviations and isoperimetry over convex probability measures with heavy tails
Reference 9
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- raw_fallback, observed 2026-08-06T19:08:01.361110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7305a633-220d-4249-927c-bd72438acd79 · outbound
This paper cites Some connections between isoperimetric and Sobolev- type inequalities.
Gr\"unbaum's inequality for Gaussian and convex probability measures Some connections between isoperimetric and Sobolev- type inequalities
Reference 10
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- raw_fallback, observed 2026-08-06T19:08:01.352606Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fbad7a23-3208-43f5-83e3-8deab39fd0a3 · outbound
This paper cites Convex set functions in d-space.
Gr\"unbaum's inequality for Gaussian and convex probability measures Convex set functions in d-space
Reference 11
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- raw_fallback, observed 2026-08-06T19:08:01.344667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9cb4df31-5ae0-440a-9f3b-315a8b245d9f · outbound
This paper cites The Ehrhard inequality.
Gr\"unbaum's inequality for Gaussian and convex probability measures The Ehrhard inequality
Reference 12
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- raw_fallback, observed 2026-08-06T19:08:01.337378Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation cab9052c-abf0-4552-bdaf-3c9597970ed6 · outbound
This paper cites Some inequalities for Gaussian measures and the long- range order of one-dimensional plasma.
Gr\"unbaum's inequality for Gaussian and convex probability measures Some inequalities for Gaussian measures and the long- range order of one-dimensional plasma
Reference 13
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- raw_fallback, observed 2026-08-06T19:08:01.329604Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3a01d6f7-886f-400d-898d-6efa3b9774d0 · outbound
This paper cites A generalization of Grünbaum’s inequality in RCD(0, N)-spaces.
Gr\"unbaum's inequality for Gaussian and convex probability measures A generalization of Grünbaum’s inequality in RCD(0, N)-spaces
Reference 14
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- raw_fallback, observed 2026-08-06T19:08:01.013540Z
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Observation 5e21a81e-5e3c-4e91-8909-5ff03fae4db6 · outbound
This paper cites Func- tional versions of Lp-affine surface area and entropy inequalities.
Gr\"unbaum's inequality for Gaussian and convex probability measures Func- tional versions of Lp-affine surface area and entropy inequalities
Reference 15
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- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.321251Z
Source-reported events for the cited work
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Observation 254c8841-aa42-4f1d-89ac-6121820820d3 · outbound
This paper cites The (B) conjecture for the Gaus- sian measure of dilates of symmetric convex sets and related problems.
Gr\"unbaum's inequality for Gaussian and convex probability measures The (B) conjecture for the Gaus- sian measure of dilates of symmetric convex sets and related problems
Reference 16
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- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.312747Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 10c0ec5b-3298-4ad9-b633-f4736a387dcb · outbound
This paper cites Volume of the polar of random sets and shadow systems.
Gr\"unbaum's inequality for Gaussian and convex probability measures Volume of the polar of random sets and shadow systems
Reference 17
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- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.304884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 59f1a738-4194-4a13-8fcf-e6d8f9ccf8df · outbound
This paper cites Improved log-concavity for rotationally invariant measures of symmetric convex sets.
Gr\"unbaum's inequality for Gaussian and convex probability measures Improved log-concavity for rotationally invariant measures of symmetric convex sets
Reference 18
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- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.296585Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a9cdf74e-850e-4c83-8c12-7fb5d62b3dd7 · outbound
This paper cites Critères de convexité et inégalités intégrales.
Gr\"unbaum's inequality for Gaussian and convex probability measures Critères de convexité et inégalités intégrales
Reference 19
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- raw_fallback, observed 2026-08-06T19:08:01.288688Z
Source-reported events for the cited work
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Observation db9e1a25-6cd5-433b-8996-6240b087fa5c · outbound
This paper cites Éléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes.
Gr\"unbaum's inequality for Gaussian and convex probability measures Éléments extrémaux pour les inégalités de Brunn-Minkowski gaussiennes
Reference 20
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- raw_fallback, observed 2026-08-06T19:08:01.280881Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 72794894-429f-46fe-b84c-aabf7d31907c · outbound
This paper cites Symétrisation dans l’espace de Gauss.
Gr\"unbaum's inequality for Gaussian and convex probability measures Symétrisation dans l’espace de Gauss
Reference 21
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- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.270216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9da6f5ef-78e0-4c6e-a8bb-edfcf9bdd519 · outbound
This paper cites ThedimensionalBrunn-MinkowskiinequalityinGauss space.
Gr\"unbaum's inequality for Gaussian and convex probability measures ThedimensionalBrunn-MinkowskiinequalityinGauss space
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.262524Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c0ad7f1e-498d-4f90-aa31-8f7388054109 · outbound
This paper cites A generalized localization theorem and geometric in- equalities for convex bodies.
Gr\"unbaum's inequality for Gaussian and convex probability measures A generalized localization theorem and geometric in- equalities for convex bodies
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.254792Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5766c303-e355-4b8f-9a39-653d02504318 · outbound
This paper cites WeightedBrunn-Minkowski Theory I: On weighted surface area measures.
Gr\"unbaum's inequality for Gaussian and convex probability measures WeightedBrunn-Minkowski Theory I: On weighted surface area measures
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.246743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a0f8aa77-abba-45f1-bdc1-d494dec177a0 · outbound
This paper cites WeightedBrunn-Minkowski Theory II: On Inequalities for Mixed Measures.
Gr\"unbaum's inequality for Gaussian and convex probability measures WeightedBrunn-Minkowski Theory II: On Inequalities for Mixed Measures
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:07:58.459551Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92e2db5f-d4a9-487d-9866-27ed9f357dcf · outbound
This paper cites Concentration of information content for convex measures.
Gr\"unbaum's inequality for Gaussian and convex probability measures Concentration of information content for convex measures
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.237883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c9a470a4-d67d-459d-be5d-787cb47fd345 · outbound
This paper cites On the volume of sections of a convex body by cones.
Gr\"unbaum's inequality for Gaussian and convex probability measures On the volume of sections of a convex body by cones
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.229582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 3e1e2132-42e2-4d7b-890e-5c036ae92c73 · outbound
This paper cites The Brunn-Minkowski inequality.
Gr\"unbaum's inequality for Gaussian and convex probability measures The Brunn-Minkowski inequality
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.220323Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 33d8fff4-0078-4456-a087-9cc2ecfa0df4 · outbound
This paper cites Gaussian Brunn-Minkowski inequalities.
Gr\"unbaum's inequality for Gaussian and convex probability measures Gaussian Brunn-Minkowski inequalities
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.212491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ee2a0d18-632e-4b9d-8a23-87c2cb740a9f · outbound
This paper cites Partitions of mass-distributions and of convex bodies by hyperplanes.
Gr\"unbaum's inequality for Gaussian and convex probability measures Partitions of mass-distributions and of convex bodies by hyperplanes
Reference 30
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- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.203928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a4d73280-4f68-4f41-873a-cc801210c7dd · outbound
This paper cites The Minkowski problem in Gaussian probability space.
Gr\"unbaum's inequality for Gaussian and convex probability measures The Minkowski problem in Gaussian probability space
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.194218Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 888ada31-69a5-405b-ae40-37dad75ec6d4 · outbound
This paper cites On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type.
Gr\"unbaum's inequality for Gaussian and convex probability measures On the Gardner-Zvavitch conjecture: symmetry in inequalities of Brunn-Minkowski type
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.186030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 665d104c-8a50-4513-8d30-37a13f72cb64 · outbound
This paper cites Weighted Berwald’s inequality.
Gr\"unbaum's inequality for Gaussian and convex probability measures Weighted Berwald’s inequality
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.178049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6ae16762-4932-482a-8be2-0a000fb9a409 · outbound
This paper cites General measure extensions of projection bodies.
Gr\"unbaum's inequality for Gaussian and convex probability measures General measure extensions of projection bodies
Reference 34
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- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.169688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation caabefb4-0e41-4854-b065-8b398fc6cfb5 · outbound
This paper cites On the s-Gaussian measure inRn.
Gr\"unbaum's inequality for Gaussian and convex probability measures On the s-Gaussian measure inRn
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.160429Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d5a6e959-3e1f-472a-9c5f-6d01ea4d0a1d · outbound
This paper cites An extension of Minkowski’s theorem and its applications to questions about projections for measures.
Gr\"unbaum's inequality for Gaussian and convex probability measures An extension of Minkowski’s theorem and its applications to questions about projections for measures
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.151997Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c0a74959-51fe-4c44-a381-a399d18bcbaf · outbound
This paper cites The geometry of logconcave functions and sampling algo- rithms.
Gr\"unbaum's inequality for Gaussian and convex probability measures The geometry of logconcave functions and sampling algo- rithms
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.143581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 015414e6-3dc8-405f-a9fb-02219159c517 · outbound
This paper cites Affine moments of a random vector.
Gr\"unbaum's inequality for Gaussian and convex probability measures Affine moments of a random vector
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.136272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6b70f407-cbe6-4d45-955d-c3daa657839f · outbound
This paper cites Extensions of Fisher information and Stam’s inequality.
Gr\"unbaum's inequality for Gaussian and convex probability measures Extensions of Fisher information and Stam’s inequality
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.128626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 358204f7-8f8a-4158-a87a-381ac19917b4 · outbound
This paper cites Cramér-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information.
Gr\"unbaum's inequality for Gaussian and convex probability measures Cramér-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.121097Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ae35e293-ea05-4689-9738-ed8a95fc3b04 · outbound
This paper cites Moment-entropy inequalities.
Gr\"unbaum's inequality for Gaussian and convex probability measures Moment-entropy inequalities
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.113418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c6f6f2bc-cad9-41e0-b127-2b2dd63e7dfd · outbound
This paper cites Moment-entropyinequalitiesforarandomvector.
Gr\"unbaum's inequality for Gaussian and convex probability measures Moment-entropyinequalitiesforarandomvector
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.105845Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d6911abc-7b27-46e3-ad7e-43b9b8fb85ca · outbound
This paper cites Forward and reverse entropy power inequal- ities in convex geometry.
Gr\"unbaum's inequality for Gaussian and convex probability measures Forward and reverse entropy power inequal- ities in convex geometry
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.098771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f59c9a73-a8c9-4cce-8ca4-d7b8cd5fae1b · outbound
This paper cites On general concavity extensions of Grünbaum type inequalities.
Gr\"unbaum's inequality for Gaussian and convex probability measures On general concavity extensions of Grünbaum type inequalities
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.090466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 5d2635c8-fa7f-48e4-8992-705a9713251e · outbound
This paper cites On geometric and functional Grünbaum type inequalities.
Gr\"unbaum's inequality for Gaussian and convex probability measures On geometric and functional Grünbaum type inequalities
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.081503Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 6d222e00-43ab-405c-b3a4-f725ea4615d5 · outbound
This paper cites On Grünbaum type inequalities.
Gr\"unbaum's inequality for Gaussian and convex probability measures On Grünbaum type inequalities
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.073526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a1a1256d-3e43-4dd5-bbb9-1d6a47929d0c · outbound
This paper cites Grünbaum-type inequality for log-concave functions.
Gr\"unbaum's inequality for Gaussian and convex probability measures Grünbaum-type inequality for log-concave functions
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.065709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e6cf2c7d-1e58-49de-8e50-5fb5f96fff9f · outbound
This paper cites ComplementedBrunn-Minkowskiinequalitiesandisoperime- tryforhomogeneousandnon-homogeneousmeasures.
Gr\"unbaum's inequality for Gaussian and convex probability measures ComplementedBrunn-Minkowskiinequalitiesandisoperime- tryforhomogeneousandnon-homogeneousmeasures
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.056739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 41a773bf-c465-4d6d-9b10-411831d705d0 · outbound
This paper cites Grünbaum’s inequality for sections.
Gr\"unbaum's inequality for Gaussian and convex probability measures Grünbaum’s inequality for sections
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.048347Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 32fdca1b-52ed-4e7b-b222-dc3cdb731f30 · outbound
This paper cites an unresolved cited work.
Gr\"unbaum's inequality for Gaussian and convex probability measures Unresolved cited work
Reference 50
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:08:01.039981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1b84a26c-8867-45fa-af79-bd44038e9e2e · outbound
This paper cites Grünbaum’s inequality for projections.
Gr\"unbaum's inequality for Gaussian and convex probability measures Grünbaum’s inequality for projections
Reference 51
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.031611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2014ff6c-3bc2-4f80-b941-5f9e05868a2a · outbound
This paper cites Applications of Grünbaum-type inequalities.
Gr\"unbaum's inequality for Gaussian and convex probability measures Applications of Grünbaum-type inequalities
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:08:01.022960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
No inbound Pith citation observations are available.