Results 21 to 30 of about 3,822,368 (301)
Optimal transport of vector measures [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractWe develop and study a theory of optimal transport for vector measures. We resolve in the negative a conjecture of Klartag, that given a vector measure on Euclidean space with total mass zero, the mass of any transport set is again zero. We provide a counterexample to the conjecture.
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A uniqueness result for the continuity equation in two dimensions [PDF]
, 2014 We characterize the autonomous, divergence-free vector fields $b$ on the plane such that the Cauchy problem for the continuity equation $\partial_t u + div(bu) = 0$ admits a unique bounded solution (in the weak sense) for every bounded initial datum; the
Crippa, Gianluca +8 more
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Some Condition for Scalar and Vector Measure Games to Be Lipschitz
International Journal of Mathematics and Mathematical Sciences, 2014 We provide a characterization for vector measure games ν=f∘μ in pNA∞, with μ vector of nonatomic probability measures, analogous to the one of Tauman for games in pNA, and also provide a necessary and sufficient condition for a particular class of vector
F. Centrone, A. Martellotti
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Adaptive Multiscale Weighted Permutation Entropy for Rolling Bearing Fault Diagnosis
IEEE Access, 2020 Fault diagnosis of rolling bearing is of great importance to ensure high reliability and safety in the industrial machinery system. Entropy measures are useful non-linear indicators for time series complexity analysis and have been widely applied in ...
Zhiqiang Huo +3 more
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Strassen’s theorem for vector measures [PDF]
Proceedings of the American Mathematical Society, 1994 A type of Strassen’s Theorem for measures taking values in the positive cone of a Banach lattice is proved. An application is given to metrics for convergence of vector measures.
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MathematicsIn this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator.
Ion Mierluș–Mazilu, Lucian Niță
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APPROXIMATION IN BANACH ALGEBRAS OF VECTOR-VALUED FUNCTION SPACES
پژوهشهای ریاضی, 2021 In this paper, we give a criterion for the density of a subspace of lip _{alpha} (X; S) when (X; d) is a compact metric space, S is a complex Banach space and 0 < alpha< 1. In the case where X = [a; b], we conclude that Lip1(X; S) is dense in lip _{alpha}
Kobra Esmaeili
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Analysis and Geometry in Metric Spaces, 2020 The aim of this paper is to prove the weak type vector-valued inequality for the modified Hardy– Littlewood maximal operator for general Radon measure on ℝn. Earlier, the strong type vector-valued inequality for the same operator and the weak type vector-
Sawano Yoshihiro
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Zhongguo dianli, 2023 A digital substation safety measure automatic generation technology based on improved support vector machine is proposed to address the low efficiency of secondary maintenance safety measures in digital substations. Firstly, construct a secondary circuit
Yabing YAN +5 more
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Measuring quantum coherence in coherence-vector representation
四川大学学报. 自然科学版, 2020 Recently, how to measure quantum coherence is a hot topic in the quantum resource theory. In 2014, Baumgratz et al. proposed a rigorous framework to quantify coherence.
DING Lei
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