Results 81 to 90 of about 670,956 (234)
6. A note on the quantitative local version of the log-Brunn–Minkowski inequality [PDF]
, 2017 We prove that the log-Brunn-Minkowski inequality \begin{equation*} |\lambda K+_0 (1-\lambda)L|\geq |K|^{\lambda}|L|^{1-\lambda} \end{equation*} (where $|\cdot|$ is the Lebesgue measure and $+_0$ is the so-called log-addition) holds when $K\subset\mathbb ...
A. Colesanti, G. Livshyts
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International Journal of Robust and Nonlinear Control, Volume 35, Issue 7, Page 2694-2716, 10 May 2025.Abstract The wave energy converter (WEC) control problem aims to make the best use of wave excitation to maximize energy capture and ensure safe operation across a broad range of sea states. This falls into the recently developed economic model predictive control (EMPC) framework, subject to wave excitation being treated as a predictable additive ...
Siyuan Zhan +2 more
wiley +1 more source
The Brunn-Minkowski inequality [PDF]
Bulletin of the American Mathematical Society, 2002 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.
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Journal of Industrial Ecology, EarlyView.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
A Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality [PDF]
arXiv, 2020 In this paper, we prove a Pr\'ekopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality. It extends an inequality proved by Das Gupta [8] and Klartag [16], and thus recovers the Pr\'ekopa-Leindler inequality. In addition, we prove a functional $L_p$ Minkowski inequality.
arxiv
On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space
, 2018 Using the weak solution of Inverse mean curvature flow, we prove the sharp Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space.Comment: minor revision, accepted by Calculus of Variations and ...
Wei, Yong
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Journal of Time Series Analysis, Volume 46, Issue 3, Page 582-595, May 2025.Estimating parameters of functional ARMA, GARCH and invertible processes requires estimating lagged covariance and cross‐covariance operators of Cartesian product Hilbert space‐valued processes. Asymptotic results have been derived in recent years, either less generally or under a strict condition.
Sebastian Kühnert
wiley +1 more source
Lp-Curvature Measures and Lp,q-Mixed Volumes
Journal of Function Spaces, 2022 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
Optimal Contracts for Delegated Order Execution
Mathematical Finance, EarlyView.ABSTRACT We determine the optimal affine contract for a client who delegates their order execution to a dealer. Existence and uniqueness are established for general linear price impact dynamics of the dealer's trades. Explicit solutions are available for the model of Obizhaeva and Wang, for example, and a simple gradient descent algorithm is applicable
Martin Larsson +2 more
wiley +1 more source
Converse theorem for the Minkowski inequality
Journal of Mathematical Analysis and Applications, 2008 AbstractLet (Ω,Σ,μ) a measure space such that ...
Janusz Matkowski, Janusz Matkowski
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