Results 81 to 90 of about 627,608 (258)
The Brunn–Minkowski inequality implies the CD condition in weighted Riemannian manifolds [PDF]
Mattia Magnabosco+2 more
semanticscholar +1 more source
The Brunn-Minkowski inequality [PDF]
In 1978, Osserman [124] wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of Rn, and deserves to be better known.
openaire +2 more sources
Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley +1 more source
Lp-Curvature Measures and Lp,q-Mixed Volumes
Motivated by Lutwak et al.’s Lp-dual curvature measures, we introduce the concept of Lp-curvature measures. This new Lp-curvature measure is an extension of the classical surface area measure, Lp-surface area measure, and curvature measure. In this paper,
Tongyi Ma
doaj +1 more source
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source
A Minkowski Inequality for Horowitz–Myers Geon
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Aghil Alaee, Pei-Ken Hung
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A simple construction of the sine‐Gordon model via stochastic quantization
Abstract We present a simple PDE construction of the sine‐Gordon measure below the first threshold (β2<4π$\beta ^2 < 4\pi$), in both the finite and infinite volume settings, by studying the corresponding parabolic sine‐Gordon model. We also establish pathwise global well‐posedness of the hyperbolic sine‐Gordon model in finite volume for β2<2π$\beta ^2 <
Massimiliano Gubinelli+3 more
wiley +1 more source
Brunn-Minkowski inequality for the 1-Riesz capacity and level set convexity for the 1/2-Laplacian [PDF]
We prove that that the 1-Riesz capacity satisfi es a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set convex.Comment: 9 ...
Novaga, Matteo, Ruffini, Berardo
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Converse theorem for the Minkowski inequality
AbstractLet (Ω,Σ,μ) a measure space such that ...
Janusz Matkowski, Janusz Matkowski
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Abstract Life cycle assessment (LCA) is a systematic approach to quantify the environmental impacts of a product system from its entire life cycle. Despite its wide use in assessing mature technologies, the inventory data gap has been a fundamental challenge that limits the application of LCA to emerging new processes. Machine learning (ML) methods are
Bu Zhao+3 more
wiley +1 more source