Results 61 to 70 of about 4,370 (257)
On Commuting and Noncommuting Complexes
Journal of Algebra, 2001 In this paper we study various simplicial complexes associated to the commutative structure of a finite group G. We define NC(G) (resp. C(G)) as the complex associated to the poset of pairwise non-commuting (resp. commuting) sets in G. We observe that NC(G) has only one positive dimensional connected component, which we call BNC(G), and we prove that ...
Pakianathan, Jonathan, Yalçın, Ergün
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
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Bloom-type two-weight inequalities for commutators of maximal functions
Analysis and Geometry in Metric SpacesWe study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
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Journal of Inequalities and Applications, 2017 In this paper, we first introduce some new Morrey-type spaces containing generalized Morrey space and weighted Morrey space with two weights as special cases. Then we give the weighted strong type and weak type estimates for fractional integral operators
Hua Wang
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Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
Systems Research and Behavioral Science, EarlyView.ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
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Journal of Function SpacesIn this paper, we investigate the quantitative two-weight boundedness for iterated commutators of multilinear fractional operators with Lα,r′-Hörmander conditions. The analysis relies heavily on sparse domination techniques for the operators.
Zhidan Wang, Chunmei Zhang
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Journal of Inequalities and Applications, 2016 Let T b → $T_{\vec{b}}$ and T Π b $T_{\Pi b}$ be the commutators in the jth entry and iterated commutators of the multilinear Calderón-Zygmund operators, respectively.
Zhengyang Li, Qingying Xue
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Making Almost Commuting Matrices Commute [PDF]
Communications in Mathematical Physics, 2009 Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq δ$). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq ε$? A theorem of H. Lin shows that this is uniformly true, in that for every $ε>0$ there exists a $δ>0$, independent of the size $N$ of the matrices, for ...
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An Innovative Approach to Multi‐Valued Logic
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
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Weighted multilinear p-adic Hardy operators and commutators
Open Mathematics, 2017 In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces ...
Liu Ronghui, Zhou Jiang
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