Results 111 to 120 of about 11,917 (304)

Convergence in Distribution, Convergence in Probability and Almost Sure Convergence of Discrete Martingales

The Annals of Mathematical Statistics, 1972
Examples are provided of Markovian martingales that: (i) converge in distribution but fail to converge in probability; (ii) converge in probability but fail to converge almost surely. This stands in sharp contrast to the behavior of series with independent increments, and settles, in the negative, a question raised by Loeve in 1964. Subsequently, it is
openaire   +3 more sources

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source

Almost Sure Uniform Convergence Of Random Hermite Series [PDF]

We continue the analysis of random series associated to the multidimensional harmonic oscillator $-\Delta + |x|^2$ on $\mathbb{R}^d$ with d \geq 2$$. More precisely we obtain a necessary and sufficient condition to get the almost sure uniform convergence
Imekraz, Rafik, Latocca, Mickaël
core   +2 more sources

Uncertain Zero-One Law and Convergence of Uncertain Sequence

Discrete Dynamics in Nature and Society, 2016
This paper is concerned with situations in which the uncertain measure of an event can only be zero or one, and the uncertain zero-one laws are derived within the framework of uncertainty theory that can be seen as the counterpart of Kolmogorov zero-one ...
Zhiqiang Zhang, Weiqi Liu, Xiumei Chen
doaj   +1 more source

2D Co‐Mo‐Hydroxide‐Based Multifunctional Material for the Development of H2‐Based Clean Energy Technologies

Advanced Materials, EarlyView.
2D α‐Co(OH)2 interleaved with Mo species displays an appealing dual functionality for the production and use of green hydrogen.Mo incorporation greatly benefits the electrochemical behaviour in Oxygen Evolution Reaction for H2 production, while the magnetocaloric response at liquid H2 temperature paves the way for alternative cryogenic refrigerants ...
Daniel Muñoz‐Gil, Celia Castillo‐Blas, Dawid Krystian Feler, Isabel Gómez‐Recio, Miguel Tinoco, Ana Querejeta‐Fernández, Rodrigo González‐Prieto, Felipe Gándara, Romualdo Santos Silva Jr, Pilar Ferrer, Carlos Prieto, Luc Lajaunie, José Luis Martinez‐Peña, María Luisa Ruiz‐González, José María González‐Calbet   +14 more
wiley   +1 more source

Almost sure exponential stability of delayed cellular neural networks

Electronic Journal of Differential Equations, 2007
The stability of stochastic delayed Cellular Neural Networks (DCNN) is investigated in this paper. Using suitable Lyapunov functional and the semimartingale convergence theorem, we obtain some sufficient conditions for checking the almost sure ...
Chuangxia Huang, Yigang He, Lihong Huang
doaj  

Atomistic Mechanisms Triggered by Joule Heating Effects in Metallic Cu‐Bi Nanowires for Spintronics

Advanced Materials, EarlyView.
Bi doped metallic Cu nanowires are promising for spintronics thanks to the stabilization of a giant spin Hall effect. However, heat resulting from current injection forces Bi to leave solution, forcing segregation into monoatomic decorations which evolve into coherent crystalline aggregates.
Alejandra Guedeja‐Marrón, Juan Ignacio Beltrán, Matilde Saura‐Múzquiz, Paolo Perna, M. Carmen Muñoz, Lucas Pérez, Maria Varela   +6 more
wiley   +1 more source

Convergence and Almost Sure Polynomial Stability of Partially Truncated Split-Step Theta Method for Stochastic Pantograph Models with Lévy Jumps

Mathematics
This paper addresses a stochastic pantograph model with Lévy leaps where non-jump coefficients exceed linearity. The partially truncated split-step theta method is introduced and applied to the proposed model.
Amr Abosenna, Ghada AlNemer, Boping Tian
doaj   +1 more source

Various limit theorems for ratios from the uniform distribution

Open Mathematics, 2016
In this paper, we consider the ratios of order statistics in samples from uniform distribution and establish strong and weak laws for these ratios.
Miao Yu, Sun Yan, Wang Rujun, Dong Manru
doaj   +1 more source

Self‐Assembled Monolayers in p–i–n Perovskite Solar Cells: Molecular Design, Interfacial Engineering, and Machine Learning–Accelerated Material Discovery

Advanced Materials, EarlyView.
This review highlights the role of self‐assembled monolayers (SAMs) in perovskite solar cells, covering molecular engineering, multifunctional interface regulation, machine learning (ML) accelerated discovery, advanced device architectures, and pathways toward scalable fabrication and commercialization for high‐efficiency and stable single‐junction and
Asmat Ullah, Ying Luo, Stefaan De Wolf
wiley   +1 more source