Results 51 to 60 of about 1,618,670 (297)
A central limit theorem for random dynamical systems
In this article, we establish a central limit theorem (CLT) for random dynamical systems (RDS), which is a supplement to the ergodic theory of random dynamical system.
LYU Kening, ZHENG Yan
doaj +1 more source
Central limit theorems for multicolor urns with dominated colors [PDF]
An urn contains balls of d≥2 colors. At each time n≥1, a ball is drawn and then replaced together with a random number of balls of the same color. Let A n = diag (An,1,…,An,d) be the n-th reinforce matrix. Assuming that EAn,j=EAn,1 for all n and j, a few
L. Pratelli +7 more
core +1 more source
Data‐Driven Materials Science for Energy‐Sustainable Applications
Data‐driven approaches powered by artificial intelligence are transforming materials discovery for energy sustainability. This review examines how auto‐generated high‐quality materials databases and domain‐specific language models accelerate research in photovoltaics, thermoelectrics, batteries and magnetic materials. Applications involve extraction of
Jacqueline M. Cole
wiley +1 more source
From limit theorems to mixing limit theorems
45 ...
Arana-Herrera, Francisco +1 more
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Convergence results for multivariate martingales [PDF]
We present a new version of the Central Limit Theorem for multivariate ...
L. Pratelli +3 more
core +1 more source
Defect‐Templated Phase Engineering in Atomically Thin Metals
Graphene defects are transformed from passive imperfections into programmable templates for phase‐selective growth of atomically thin silver. Plasma‐generated boundary defects favor Ag(1), whereas sp3‐rich zero‐layer graphene promotes Ag(2). This defect‐directed intercalation links local graphene chemistry to crystalline phase, electronic structure ...
Arpit Jain +25 more
wiley +1 more source
A limit theorem for singular stochastic differential equations
We study the weak limits of solutions to SDEs \[ dX_{n}(t)=a_{n}\big(X_{n}(t)\big)\hspace{0.1667em}dt+dW(t),\] where the sequence $\{a_{n}\}$ converges in some sense to $(c_{-}\mathbb{1}_{x0})/x+\gamma \delta _{0}$.
Andrey Pilipenko, Yuriy Prykhodko
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A simple derivation of a limiting distribution of Logan, Mallows, Rice and Shepp is found. This is the limiting distribution of a sequence of partial sums of independent, identically distributed random variables in the domain of attraction of a stable law, normalized by the partial sums of the absolute values of these variables.
openaire +2 more sources
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Numerical Simulation Experiments Verify the Central Limit Theorem [PDF]
The Central Limit Theorem (CLT) is the cornerstone of probability statistics. However, although its theoretical completeness has been recognized, the convergence trajectory under specific limited samples, especially the numerical performance of the ...
Liu Zhengxiang
doaj +1 more source

