Results 21 to 30 of about 4,011 (135)
On Dual Brunn-Minkowski Inequalities [PDF]
Mathematical Inequalities & Applications, 2005 On dual Brunn-Minkowski ...
Zhao, Changjian +2 more
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A nonabelian Brunn–Minkowski inequality
Geometric and Functional Analysis, 2023 AbstractHenstock and Macbeath asked in 1953 whether the Brunn–Minkowski inequality can be generalized to nonabelian locally compact groups; questions along the same line were also asked by Hrushovski, McCrudden, and Tao. We obtain here such an inequality and prove that it is sharp for helix-free locally compact groups, which includes real linear ...
Jing, Y, Tran, C-M, Zhang, R
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Lp-dual three mixed quermassintegrals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In the paper, the concept of Lp-dual three-mixed quermassintegrals is introduced. The formula for the Lp-dual three-mixed quermassintegrals with respect to the p-radial addition is proved. Inequalities of Lp-Minkowski, and Brunn-Minkowski type for the Lp-
Zhao Chang-Jian, Bencze Mihály
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The dual Brunn–Minkowski inequality for log-volume of star bodies
Journal of Inequalities and Applications, 2021 This paper aims to consider the dual Brunn–Minkowski inequality for log-volume of star bodies, and the equivalent Minkowski inequality for mixed log-volume.
Dandan Lai, Hailin Jin
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A Curved Brunn-Minkowski Inequality for the Symmetric Group [PDF]
, 2015 In this paper, we construct an injection $A \times B \rightarrow M \times M$ from the product of any two nonempty subsets of the symmetric group into the square of their midpoint set, where the metric is that corresponding to the conjugacy class of ...
Neeranartvong, Weerachai +2 more
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Entropic exercises around the Kneser–Poulsen conjecture
Mathematika, Volume 69, Issue 3, Page 841-866, July 2023., 2023 Abstract We develop an information‐theoretic approach to study the Kneser–Poulsen conjecture in discrete geometry. This leads us to a broad question regarding whether Rényi entropies of independent sums decrease when one of the summands is contracted by a 1‐Lipschitz map. We answer this question affirmatively in various cases.
Gautam Aishwarya +4 more
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Affine subspace concentration conditions for centered polytopes
Mathematika, Volume 69, Issue 2, Page 458-472, April 2023., 2023 Abstract Recently, K.‐Y. Wu introduced affine subspace concentration conditions for the cone volumes of polytopes and proved that the cone volumes of centered, reflexive, smooth lattice polytopes satisfy these conditions. We extend the result to arbitrary centered polytopes.
Ansgar Freyer +2 more
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On a geometric combination of functions related to Prékopa–Leindler inequality
Mathematika, Volume 69, Issue 2, Page 482-507, April 2023., 2023 Abstract We introduce a new operation between nonnegative integrable functions on Rn$\mathbb {R}^n$, that we call geometric combination; it is obtained via a mass transportation approach, playing with inverse distribution functions. The main feature of this operation is that the Lebesgue integral of the geometric combination equals the geometric mean ...
Graziano Crasta, Ilaria Fragalà
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Gaussian Brunn-Minkowski inequalities [PDF]
Transactions of the American Mathematical Society, 2010 This paper focuses on two fundamental ingredients of mathematics: Gauss measure \(\gamma_n\), the most important probability measure in \(\mathbb{R}^n\), and the Brunn-Minkowski inequality, one of the most powerful inequalities in analysis and geometry.
Gardner, Richard J., Zvavitch, Artem
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On discrete $$L_p$$ Brunn–Minkowski type inequalities
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022 Abstract$$L_p$$ L p Brunn–Minkowski type inequalities for the lattice point enumerator $$\mathrm {G}_n(\cdot )$$ G n
María A. Hernández Cifre +2 more
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