Results 61 to 70 of about 11,917 (304)

On the convergence of moments in the almost sure central limit theorem for stochastic approximation algorithms [PDF]

, 2013
We study the almost sure asymptotic behaviour of stochastic approximation algorithms for the search of zero of a real function. The quadratic strong law of large numbers is extended to the powers greater than one.
Peggy Cénac, Cénac, Peggy
core   +1 more source

A note on the complete convergence for sequences of pairwise NQD random variables

Journal of Inequalities and Applications, 2011
In this paper, complete convergence and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with non-identically distributed are investigated.
Wu Qunying, Huang Haiwu, Wang Dingcheng, Zhang Qingxia   +3 more
doaj  

Double recurrence and almost sure convergence.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1990
The paper studies the pointwise behaviour of averages of the form \(\frac{1}{N}\sum^{N}_{1}T_1f_1\cdot T_2f_2,\) where \(T_1,T_2\) are powers of the same measure preserving transformation \(T\) acting on a probability span \((\Omega,\mathcal B,\mu).\) Here \(f_1,f_2\) are assumed to be bounded measurable functions.
openaire   +2 more sources

Ontology‐Aligned Structuring and Reuse of Multimodal Materials Data and Workflows Toward Automatic Reproduction

Advanced Engineering Materials, EarlyView.
Reproduction of stacking fault energy calculations from literature with a semi‐automated large language model‐assisted extraction procedure: extraction of simulation protocol, atomistic structures, computational parameters, and reported results, ontology alignment, knowledge graph construction and, finally, recomputation forvalidation.
Sepideh Baghaee Ravari, Abril Azocar Guzman, Sarath Menon, Stefan Sandfeld, Tilmann Hickel, Markus Stricker   +5 more
wiley   +1 more source

Almost sure and moment exponential stability of Euler-Maruyama discretizations for hybrid stochastic differential equations [PDF]

, 2008
Positive results are derived concerning the long time dynamics of numerical simulations of stochastic differential equation systems with Markovian switching. Euler-Maruyama discretizations are shown to capture almost sure and momente xponential stability
National Science Foundation of China (Funder), Pang, Sulin, Mao, X., , National Science Foundation of China (Funder), Deng, Feiqi, , Jinan University of China (Funder), Pang, S., EPSRC (Funder), Mao, Xuerong, , EPSRC (Funder), Deng, F., Jinan University of China (Funder)   +11 more
core   +1 more source

Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure

Advanced Engineering Materials, EarlyView.
Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari, Supharoek Sornsomrit, Muhammad Ayaz Akbar, Stephan Rudykh   +3 more
wiley   +1 more source

A note on almost sure convergence and convergence in measure [PDF]

, 2014
summary:The present article studies the conditions under which the almost everywhere convergence and the convergence in measure coincide.
Kříž, P., Štěpán, J.
core   +1 more source

Semi-Quenched Invariance Principle for the Random Lorentz Gas: Beyond the Boltzmann–Grad Limit

Entropy
By synchronously coupling multiple Lorentz trajectories exploring the same environment consisting of randomly placed scatterers in R3, we upgrade the annealed invariance principle proved in [Lutsko, Tóth (2020)] to the quenched setting (that is, valid ...
Bálint Tóth
doaj   +1 more source

The Semimartingale Approach to Almost Sure Stability Analysis of a Two-Stage Numerical Method for Stochastic Delay Differential Equation

Abstract and Applied Analysis, 2014
Almost sure exponential stability of the split-step backward Euler (SSBE) method applied to an Itô-type stochastic differential equation with time-varying delay is discussed by the techniques based on Doob-Mayer decomposition and semimartingale ...
Qian Guo, Xueyin Tao
doaj   +1 more source

Precipitation Simulations of the O‐Phase in Ti2AlNb Alloys Processed by Laser Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
Simulated and experimental evolution of the O‐phase volume fraction during postprocessing of a Ti‐21Al‐25Nb (at.%) alloy processed by laser powder bed fusion. With results of sensitivity to input parameters from a thorough and quantified analysis, the interfacial energy matrix/precipitate is the most relevant input parameter for the simulation of the O‐
Silvana Tumminello, Joachim Gussone, Suzana G. Fries, Marcus Rackel, Andreas Stark, Norbert Schell, Jan Haubrich, Guillermo Requena   +7 more
wiley   +1 more source