An elementary proof that the Rauzy gasket is fractal

IF 0.8 3区数学 Q2 MATHEMATICS

Ergodic Theory and Dynamical Systems Pub Date : 2023-09-25 DOI:10.1017/etds.2023.66

MARK POLLICOTT, BENEDICT SEWELL

引用次数: 2

Abstract

Abstract We present an elementary proof that the Rauzy gasket has Hausdorff dimension strictly smaller than two.

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Rauzy垫片是分形的初步证明

摘要给出了Rauzy垫片具有严格小于2的Hausdorff维数的初等证明。

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

Ergodic Theory and Dynamical Systems 数学-数学

CiteScore

1.70

自引率

11.10%

发文量

113

审稿时长

6-12 weeks

期刊介绍： Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field. The journal acts as a forum for central problems of dynamical systems and of interactions of dynamical systems with areas such as differential geometry, number theory, operator algebras, celestial and statistical mechanics, and biology.