更正:记忆逐渐增加的大象随机行走的高斯波动 (2024 J. Phys. A: Math. Theor. 57 065203)

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
Rafik Aguech, Mohamed El Machkouri
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引用次数: 0

摘要

标准大象随机漫步(ERW)是由 Schütz 和 Trimper(2004 Phys. Rev. E 70 045101)引入的离散时间随机漫步,其特殊性在于漫步者的下一步通过参数 p∈[0,1] 取决于其整个过去。在本注释中,我们对阿古埃奇和埃尔-马赫库里(2024 J. Phys. A: Math. Theor. 57 065203, theorem 2)建立的记忆逐渐增加的ERW超扩散体系中的中心极限定理进行了修正。罗伊等人指出了这一错误(2024 arXiv:2403.02881, 备注 1.1)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Corrigendum: Gaussian fluctuations of the elephant random walk with gradually increasing memory (2024 J. Phys. A: Math. Theor. 57 065203)
The standard elephant random walk (ERW) is a discrete-time random walk introduced by Schütz and Trimper (2004 Phys. Rev. E 70 045101) with the particularity that the next step of the walker depends on its whole past through a parameter p[0,1]. In this note, we give a correction for the central limit theorem in the superdiffusive regime of the ERW with gradually increasing memory established by Aguech and El Machkouri (2024 J. Phys. A: Math. Theor. 57 065203, theorem 2). The mistake was pointed out by Roy et al (2024 arXiv:2403.02881, remark 1.1).
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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