芙丝汀宝套装及其随机版本

L’Enseignement Mathématique Pub Date : 2021-04-18 DOI:10.4171/lem/1040

A. Fan, Herv'e Queff'elec, M. Queff'elec

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引用次数: 2

摘要

研究了Furstenberg整数集$S=\{2^{m}3^{n}\}$的一些数论、遍历和调和分析性质，并与它的随机类似物$T$进行了比较。在这个半说明性的工作中，我们举例说明，$S$是“Khinchin分布”，远非hartman分布，而$T$是，$S$是$\Lambda(p)$集合，适用于所有$2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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The Furstenberg set and its random version

We study some number-theoretic, ergodic and harmonic analysis properties of the Furstenberg set of integers $S=\{2^{m}3^{n}\}$ and compare them to those of its random analogue $T$. In this half-expository work, we show for example that $S$ is "Khinchin distributed", is far from being Hartman-distributed while $T$ is, and that $S$ is a $\Lambda(p)$ set for all $2

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L’Enseignement Mathématique

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