Results 1 to 10 of about 2,936 (172)
A nonabelian Brunn–Minkowski inequality [PDF]
Geometric and Functional Analysis, 2021 Henstock 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.
Yifan Jing +2 more
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Brunn-Minkowski Inequality for θ-Convolution Bodies via Ball's Bodies. [PDF]
J Geom Anal, 2022 We consider the problem of finding the best function φn:[0,1]→R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Alonso-Gutiérrez D, Goñi JM.
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The dual Brunn–Minkowski inequality for log-volume of star bodies [PDF]
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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Dual Brunn-Minkowski inequality for C-star bodies
AIMS MathematicsIn this paper, we introduced the concept of $ C $-star bodies in a fixed pointed closed convex cone $ C $ and studied the dual mixed volume for $ C $-star bodies.
Xudong Wang, Tingting Xiang
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Horocyclic Brunn-Minkowski inequality [PDF]
Advances in Mathematics, 2022 Given two non-empty subsets $A$ and $B$ of the hyperbolic plane $\mathbb{H}^2$, we define their horocyclic Minkowski sum with parameter $λ=1/2$ as the set $[A:B]_{1/2} \subseteq \mathbb{H}^2$ of all midpoints of horocycle curves connecting a point in $A$ with a point in $B$.
Rotem Assouline, Bo’az Klartag
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On discrete $L_p$ Brunn-Minkowski type inequalities [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021 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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On Dual Brunn-Minkowski Inequalities [PDF]
Mathematical Inequalities & Applications, 2005 On dual Brunn-Minkowski ...
Chang-Jian Zhao +2 more
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The log-Brunn-Minkowski inequality
Advances in Mathematics, 2012 It is conjectured that for origin-symmetric convex bodies, there exist a family of inequalities each of which is stronger than the classical Minkowski mixed-volume inequality and a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality.
K. Böröczky +3 more
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The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity [PDF]
Memoirs of the American Mathematical Society, 2017 In this article we study two classical potential-theoretic problems in convex geometry. The first problem is an inequality of Brunn-Minkowski type for a nonlinear capacity, Cap A
M. Akman +4 more
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The dimensional Brunn–Minkowski inequality in Gauss space [PDF]
Journal of Functional Analysis, 2020 Let $ _n$ be the standard Gaussian measure on $\mathbb{R}^n$. We prove that for every symmetric convex sets $K,L$ in $\mathbb{R}^n$ and every $ \in(0,1)$, $$ _n( K+(1- )L)^{\frac{1}{n}} \geq _n(K)^{\frac{1}{n}}+(1- ) _n(L)^{\frac{1}{n}},$$ thus settling a problem raised by Gardner and Zvavitch (2010).
Alexandros Eskenazis, Georgios Moschidis
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