随机场景中淬灭功能CLT的研究

IF 0.7 3区数学 Q2 MATHEMATICS

Studia Mathematica Pub Date : 2021-04-26 DOI:10.4064/sm210421-13-10

J. Conze

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引用次数: 4

摘要

在不同的框架下，我们证明了沿Z-随机游动的随机场（r.f.）的和的淬灭函数中心极限定理（淬灭FCLT）：概率（当r.f.是i.i.d.或i.i.d.随机变量的移动平均时）和代数（当r.f.是通过环面的交换自同构或通过齐次空间上的交换双曲流生成时）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the quenched functional CLT in random sceneries

We prove a quenched functional central limit theorem (quenched FCLT) for the sums of a random field (r.f.) along a Z-random walk in different frameworks: probabilistic (when the r.f. is i.i.d. or a moving average of i.i.d. random variables) and algebraic (when the r.f. is generated by commuting automorphisms of a torus or by commuting hyperbolic flows on homogeneous spaces).

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来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.