Results 81 to 90 of about 180,189 (322)
Realization of conditionally monotone independence and monotone products of completely positive maps [PDF]
arXiv, 2009 The paper gives an operator algebras model for the conditional monotone independence, introduced by T. Hasebe. The construction is used to prove an embedding result for the N. Muraki's monotone product of C*-algebras. Also, the formulas from the definition of conditional monotone independence are used to define the monotone product of maps which is ...
arxiv
An application of a moment problem to completely monotonic functions [PDF]
arXiv, 2021 We consider the following question: if a function of the form $\int_0^{\infty}\varphi(t)\, e^{-xt}dt$ is completely monotonic, is it then $\varphi\ge0$? It turns out that the question is related to a moment problem. In the end we apply those results to answer some questions concerning complete monotonicity of certain functions raised in F.
arxiv
Advanced Functional Materials, EarlyView.Heterojunctions combining halide perovskites with low‐dimensional materials enhance optoelectronic devices by enabling precise charge control and improving efficiency, stability, and speed. These synergies advance flexible electronics, wearable sensors, and neuromorphic computing, mimicking biological vision for real‐time image analysis and intelligent
Yu‐Jin Du +11 more
wiley +1 more source
Advanced Functional Materials, EarlyView.In this work, the tandem catalyst consisted of single Fe atom and Fe3C nanoparticles on porous carbon sheet is initially proposed and developed to facilitate the dissociation of Li(solvent)x+ to release more isolated Li+ to participate in the subsequent polysulfide redox conversions by decreasing the related barriers, contributing to fast kinetics of ...
Yuhang Lin +12 more
wiley +1 more source
Complete monotonicity and bernstein properties of functions are characterized by their restriction on N [PDF]
arXiv, 2015 We give several new characterizations of completely monotone functions and Bernstein functions via two approaches: the first one is driven algebraically via elementary preserving mappings and the second one is developed in terms of the behavior of their restriction on the set of non-negative integers. We give a complete answer to the following question:
arxiv
Emerging Opportunities of Colloidal Quantum Dots for Photocatalytic Organic Transformations
Advanced Materials, EarlyView.Colloidal quantum dots (QDs) have gained significant attention as photocatalysts in organic transformations in recent years. This review highlights QDs’ distinctive features, including the quantum size effect, compositional and structural diversity, tunable surface chemistry, and photophysics.
Qinxuan Cao +4 more
wiley +1 more source
Kolmogorov's problem for completely and multiply monotone functions and the Markov moment problem [PDF]
arXiv, 2015 In this paper, we present the solution to Kolmogorov's problem for the classes of multiply monotone and completely monotone functions together with its connections to the Markov moment problem, Hermite-Birkhoff interpolation problem, and other extremal problems.
arxiv
Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
wiley +1 more source
Complete Monotonicity and Inequalities of Functions Involving $Γ$-function [PDF]
arXiv, 2017 In this paper, we investigate the complete monotonicity of some functions involving gamma function. Using the monotonic properties of these functions, we derived some inequalities involving gamma and beta functions. Such inequalities arising in probability theory.
arxiv
A Bio‐Inspired Perspective on Materials Sustainability
Advanced Materials, EarlyView.This perspective discusses natural materials as inspiration for sustainable engineering designs and the processing of materials. First, circularity, longevity, parsimony, and activity are presented as essential material paradigms. The perspective then uses many examples of natural and technical materials to introduce principles such as oligo ...
Wolfgang Wagermaier +2 more
wiley +1 more source