The Emergence of the Normal Distribution in Deterministic Chaotic Maps
The central limit theorem states that, in the limits of a large number of terms, an appropriately scaled sum of independent random variables yields another random variable whose probability distribution tends to attain a stable distribution.
Damián H. Zanette, Inés Samengo
doaj +1 more source
Lindeberg’s central limit theorems for martingale like sequences under sub-linear expectations [PDF]
Li Xin Zhang, Li Xin Zhang
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Delayformer: Spatiotemporal Transformation for Predicting High‐Dimensional Dynamics
Delayformer introduces a multivariate spatiotemporal transformation (mvSTI) that converts observed variables into delay‐embedded states and cross‐learns their dynamics using a shared Vision Transformer encoder. This approach, grounded in dynamical systems theory, simultaneously predicts all variables in high‐dimensional systems, outperforming state‐of ...
Zijian Wang, Peng Tao, Luonan Chen
wiley +1 more source
A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model [PDF]
Alessandro Pluchino +2 more
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Wave‐Partition‐Governed Dual‐Site Spallation in Single Crystals
Crystalline anisotropy shapes shock‐wave propagation and the resulting damage evolution in single crystals. Large‐scale molecular dynamics and damage modeling uncover a dual‐spallation mechanism driven by anisotropic elasticplastic wave separation, which mitigates damage accumulation.
Youlin Zhu +6 more
wiley +1 more source
Central limit theorem for Banach space valued fuzzy random variables [PDF]
Frank Proske, Madan L. Puri
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Volatility of volatility estimation: central limit theorems for the Fourier transform estimator and empirical study of the daily time series stylized facts [PDF]
Giulia Livieri +3 more
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Nanoscopic Mapping of the Extracellular Space in Amyloid Plaque‐rich Cortex
The extracellular space and diffusion around amyloid plaques are examined using shadow imaging and single‐particle tracking. Increased diffusivity is found near plaques, extracellular matrix alterations, and plaque core penetrability that varies with amyloid phenotype.
Juan Estaún‐Panzano +11 more
wiley +1 more source
Central limit theorems for multivariate Bessel processes in the freezing\n regime [PDF]
Michael Voit
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Imperfection in Semiconductors Leading to High Performance Devices
Crystalline perfection is typically pursued in semiconductors to enhance device performance. However, through modeling and experimental work, we show that defects can be strategically employed in a specific detection regime to increase sensitivity to extreme values. GaN diodes are demonstrated to effectively detect high‐energy proton beams at fluxes as
Jean‐Yves Duboz +8 more
wiley +1 more source

