Results 61 to 70 of about 543,386 (314)

Local limit theorems in free probability theory

open access: yes, 2010
In this paper, we study the superconvergence phenomenon in the free central limit theorem for identically distributed, unbounded summands. We prove not only the uniform convergence of the densities to the semicircular density but also their $L^p ...
Wang, Jiun-Chau
core   +1 more source

Wavelength‐Dependent Differential Amplification of Raman Scattering by Chiral Gold Nanorods for Multiplexed Encoding

open access: yesAdvanced Functional Materials, EarlyView.
The SERS spectra of reporter molecules adsorbed on chiral gold nanorods depends on the handedness of circularly polarized light (CPL‐SERS). The bisignate plasmonic CD spectra of chiral nanorods provides wavelength‐dependent CPL‐SERS. Selective discrimination of chiral nanorod handedness and different Raman reporters allow highly sensitive codification ...
Andrés Serrano‐Freijeiro   +9 more
wiley   +1 more source

Mechanical Properties of Architected Polymer Lattice Materials: A Comparative Study of Additive Manufacturing and CAD Using FEM and µ‐CT

open access: yesAdvanced Functional Materials, EarlyView.
This study examines how pore shape and manufacturing‐induced deviations affect the mechanical properties of 3D‐printed lattice materials with constant porosity. Combining µ‐CT analysis, FEM, and compression testing, the authors show that structural imperfections reduce stiffness and strength, while bulk material inhomogeneities probably enhance ...
Oliver Walker   +5 more
wiley   +1 more source

Convergence of Weighted Linear Process for ρ-Mixing Random Variables

open access: yesDiscrete Dynamics in Nature and Society, 2007
A central limit theorem and a functional central limit theorem are obtained for weighted linear process of ρ-mixing sequences for the Xt=∑i=0∞aiYt−i, where {Yi, 0 ...
Guang-Hui Cai
doaj   +1 more source

Digital Discovery of Synthesizable Metal−Organic Frameworks via Molecular Dynamics‑Informed, High‑Fidelity Deep Learning

open access: yesAdvanced Functional Materials, EarlyView.
Tabular foundation model interrogates the synthetic likelihood of metal−organic frameworks. Abstract Metal–organic frameworks (MOFs) are celebrated for their chemical and structural versatility, and in‑silico screening has significantly accelerated their discovery; yet most hypothetical MOFs (hMOFs) never reach the bench because their synthetic ...
Xiaoyu Wu   +3 more
wiley   +1 more source

Central Limit Theorem for Linear Eigenvalue Statistics of Elliptic Random Matrices [PDF]

open access: yesJournal of theoretical probability, 2014
We consider a class of elliptic random matrices which generalize two classical ensembles from random matrix theory: Wigner matrices and random matrices with iid entries. In particular, we establish a central limit theorem for linear eigenvalue statistics
Sean O’Rourke, David Renfrew
semanticscholar   +1 more source

Universal Electronic‐Structure Relationship Governing Intrinsic Magnetic Properties in Permanent Magnets

open access: yesAdvanced Functional Materials, EarlyView.
Permanent magnets derive their extraordinary strength from deep, universal electronic‐structure principles that control magnetization, anisotropy, and intrinsic performance. This work uncovers those governing rules, examines modern modeling and AI‐driven discovery methods, identifies critical bottlenecks, and reveals electronic fingerprints shared ...
Prashant Singh
wiley   +1 more source

On the central limit theorem for unsharp quantum random variables

open access: yesNew Journal of Physics, 2018
We study the weak-convergence properties of random variables generated by unsharp quantum measurements. More precisely, for a sequence of random variables generated by repeated unsharp quantum measurements, we study the limit distribution of relative ...
Aleksandra Dimić, Borivoje Dakić
doaj   +1 more source

Uniform Central Limit Theorem for martingales [PDF]

open access: yes, 2014
We study some sufficient conditions imposed on the sequence of martingale differences (m.d.) in the separable Banach spaces of continuous functions defined on the metric compact set for the Central Limit Theorem in this space.
Sirota, L.
core  

Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet

open access: yesAdvanced Materials, EarlyView.
Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens   +8 more
wiley   +1 more source

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