Results 1 to 10 of about 115,304 (210)

On Null-Continuity of Monotone Measures [PDF]

Mathematics, 2020
The null-continuity of monotone measures is a weaker condition than continuity from below and possesses many special properties. This paper further studies this structure characteristic of monotone measures.
Jun Li
doaj   +4 more sources

Monotone Mean L^p-Deviation Risk Measures [PDF]

Mathematics, 2023
In this paper, we establish a new coherent risk measure on Lp, which we refer to as the monotone mean Lp-deviation risk measure. Then, the related properties are discussed.
Jinyang Zhang, Linxiao Wei, Yijun Hu
doaj   +2 more sources

Entanglement of Assistance is not a bipartite measure nor a tripartite monotone [PDF]

, 2006
The entanglement of assistance quantifies the entanglement that can be generated between two parties, Alice and Bob, given assistance from a third party, Charlie, when the three share a tripartite state and where the assistance consists of Charlie ...
D. P. DiVincenzo, G. Vidal, Gilad Gour, Robert W. Spekkens, T. Laustsen   +4 more
core   +2 more sources

Regularity properties of monotone measure-preserving maps

Advanced Nonlinear Studies, 2023
In this note, we extend the regularity theory for monotone measure-preserving maps, also known as optimal transports for the quadratic cost optimal transport problem, to the case when the support of the target measure is an arbitrary convex domain and ...
Figalli Alessio, Jhaveri Yash
doaj   +5 more sources

Monotone measures of statistical complexity [PDF]

Physics Letters A, 2015
Version accepted in Physics Letters ...
Łukasz Rudnicki, I. V. Toranzo, P. Sánchez‐Moreno, J. S. Dehesa   +3 more
openalex   +4 more sources

Existence of local fractional integral equation via a measure of non-compactness with monotone property on Banach spaces [PDF]

Advances in Difference Equations, 2020
In this paper, we discuss fixed point theorems for a new χ-set contraction condition in partially ordered Banach spaces, whose positive cone K $\mathbb{K}$ is normal, and then proceed to prove some coupled fixed point theorems in partially ordered Banach
Hemant Kumar Nashine, Rabha W. Ibrahim, Ravi P. Agarwal, N. H. Can   +3 more
doaj   +2 more sources

Hardy's inequalities for monotone functions on partially ordered measure spaces [PDF]

, 2005
We characterize the weighted Hardy's inequalities for monotone functions in ${\mathbb R^n_+}.$ In dimension $n=1$, this recovers the classical theory of $B_p$ weights. For $n>1$, the result was only known for the case $p=1$.
Arcozzi, Nicola, Barza, Sorina, Garcia-Domingo, Josep L., Soria, Javier   +3 more
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Geometric Aspects of Entanglement [PDF]

Entropy
Quantum entanglement is a fundamental resource in quantum information theory, yet its general characterization and quantification remain challenging, especially in multipartite systems.
Lucio De Simone, Lorenzo Capra, Arthur Vesperini, Leonardo Rossi, Loris Di Cairano, Roberto Franzosi   +5 more
doaj   +2 more sources

Monotone Measures Defined by Pan-Integral

Advances in Pure Mathematics, 2018
Given a pan-space  and a nonnegative measurable function f on measurable space (X, A), the pan-integral of f with respect to monotone measure μ and pan-operation  determines a new monotone measure  on (X, A). Such the new monotone measure  is absolutely continuous with respect to the monotone measure μ.
Peipei Wang, Minhao Yu, Jun Li
openalex   +3 more sources

On the Monotone Measure of Correlation

, 2016
Based on the notion of maximal correlation, Kimeldorf, May and Sampson (1980) introduce a measure of correlation between two random variables, called the "concordant monotone correlation" (CMC).
Etesami, Omid, Gohari, Amin
core   +2 more sources