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Almost sure local limit theorems
Statistica Neerlandica, 2002 CHUNG ERDÖS (1951) are among the first to prove some form of an almost sure local limit theorem (cf. CSÁKI et al., 1993). Here we propose a formulation of such statements and discuss related problems.
Denker, Manfred, Koch, S.
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The Annals of Probability, 1974 Conditions are given which imply that the partial sums of a sequence of independent integer-valued random variables, suitably normalized, converge in distribution to a stable law of exponent $\alpha, 0 < \alpha < 2$, and imply as well that a strong version of the corresponding local limit theorem holds.
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Local limit theorems for inhomogeneous Markov chains [PDF]
, 2021 We prove the Local Limit Theorems for bounded additive functionals of uniformly elliptic inhomogeneous Markov arrays. As an application we obtain the precise asymptotics in the large deviation regime for bounded additive functionals of uniformly elliptic
Sarig, Dmitry Dolgopyat ans Omri
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On multidimensional local limit theorem
Lithuanian Mathematical Journal, 1964 The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: А. К. Рауделюнас. О многомерной локальной предельной теореме A. Raudeliūnas.
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High‐Throughput Discovery of Quantum Frustrated Materials
Advanced Functional Materials, EarlyView.Physics‐guided discovery of frustrated kagome and triangular magnets. ABSTRACT Geometrical frustration provides a fertile platform for realizing exotic quantum phases such as spin liquids, yet, the predictive identification of frustrated magnets remains limited.
Byeong‐Hyeon Jeong +4 more
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Advanced Materials, EarlyView.ABSTRACT The accelerating expansion of data‐centric technologies is sharply increasing the energy burden of information storage, placing unprecedented pressure on the efficiency of magnetic switching. Conventional field‐driven reversal, once the foundation of magnetic memory, has become impractical in modern architectures due to its high energy cost ...
Mohammad H. Badarneh +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 The paper proposes a method for constructing models based on the analysis of birth and death processes with linear growth in semimartingale terms.
Aleksander Aleksandrovich Butov +1 more
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Advanced Materials, EarlyView.Uniform monolayer Cr2Ge2Te6 films are achieved on Si substrates by molecular beam epitaxy. Intrinsic ferromagnetism with perpendicular magnetic anisotropy is established in the films by anomalous Hall effect and superconducting quantum interference device measurements, albeit with strong magnetic fluctuations characteristic of its 2D nature.
Pengfei Ji +15 more
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A local limit theorem for linear random fields [PDF]
Journal of Time Series Analysis, 2020 In this article, we establish a local limit theorem for linear fields of random variables constructed from i.i.d. innovations each with finite second moment. When the coefficients are absolutely summable we do not restrict the region of summation. However, when the coefficients are only square‐summable we add the variables on unions of rectangle and we
Timothy Fortune +2 more
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Advanced Materials, EarlyView.Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang +5 more
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