Shrinking targets versus recurrence: The quantitative theory

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2025-08-18 DOI:10.1112/mtk.70039

Jason Levesley, Bing Li, David Simmons, Sanju Velani

引用次数: 0

Abstract

Let , and let be an expanding piecewise linear map sending each interval of linearity to [0,1]. For , , and , we consider the recurrence counting function

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收缩目标与复发：定量理论

设，设是一个展开的分段线性映射，将每个线性区间赋值为[0,1]。对于，和，我们考虑递归计数函数

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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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.