Results 61 to 70 of about 388,965 (312)
Journal of Inequalities and Applications, 2019 The almost sure local central limit theorem is a general result which contains the almost sure global central limit theorem. Let {Xk,k≥1} $\{X_{k},k\geq 1\}$ be a strictly stationary negatively associated sequence of positive random variables.
Feng Xu, Binhui Wang, Yawen Hou
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Designing High Performance Organic Donor Molecules for Photovoltaics
Advanced Theory and Simulations, EarlyView.Systematically tuning the fusion pattern and length of the π$\pi$‐bridge, along with adjusting the electron‐withdrawing (EW) strength of the terminal groups in small‐molecule donor A-π-Core-π$\text{A-}\pi \text{-Core-}\pi$‐A architectures, enables predictable modulation of the system's opto‐electronic properties.
Fabian Bauch +2 more
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Central Limit Theorem for Random “Contractive” Functions on Interval
Annales Mathematicae SilesianaeWe use the approach from Czudek and Szarek (see [1]) to prove the central limit theorem for a stationary Markov chain generated by an iterative function system for a family of increasing, injective functions on [0, 1] with “contractive” properties.
Block Maciej +2 more
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Sleep Alters the Velocity of Physiological Brain Pulsations in Humans
Advanced Science, EarlyView.Sleep alters I/CSF oscillatory flow, driven by increased respiratory (29%) and vasomotor pulsation (21%) velocities, while cardiovascular pulsations decreased by (22%). Velocity is quantified using optical flow analysis of MREG data. Spectral power increases alongside these pulsations (spatial correlation, r = 0.35 and r = 0.39, respectively ...
Ahmed Elabasy +13 more
wiley +1 more source
A Weak Limit Theorem for Galton-Watson Processes in Varying Environments
Journal of Applied Mathematics, 2014 We extend Donsker’s theorem and the central limit theorem of classical Galton-Watson process to the Galton-Watson processes in varying environment.
Zhenlong Gao, Yanhua Zhang
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A tracial quantum central limit theorem
, 2002 We prove a central limit theorem for non-commutative random variables in a von Neumann algebra with a tracial state: Any non-commutative polynomial of averages of i.i.d. samples converges to a classical limit.
Kuperberg, Greg
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Heuristically Adaptive Diffusion‐Model Evolutionary Strategy
Advanced Science, EarlyView.Building on the mathematical equivalence between diffusion models and evolutionary algorithms, researchers demonstrate unprecedented control over evolutionary optimization through conditional diffusion. By training diffusion models to associate parameters with specific traits, they can guide evolution toward solutions exhibiting desired behaviors ...
Benedikt Hartl +3 more
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Limit properties for ratios of order statistics from exponentials
Journal of Inequalities and Applications, 2017 In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Yong Zhang, Xue Ding
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Ejecta‐Modulated Bubble Dynamics Play a Dominant Role in Stone Retropulsion
Advanced Science, EarlyView.Stone motion during laser ablation is shown to result primarily from asymmetric cavitation bubble collapse, not from ejecta recoil. This challenges long‐standing assumptions and highlights the dominant role of bubble dynamics in laser–material interactions.
Obed S. Isaac +4 more
wiley +1 more source
Gaussian Pseudorandom Number Generator Based on Cyclic Rotations of Linear Feedback Shift Registers
Sensors, 2020 This paper presents a new proposal to generate optimal pseudorandom numbers with Gaussian distribution. The generator is especially designed for low-cost hardware implementation, although the software version is also considered.
Guillermo Cotrina +2 more
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