An elementary proof that the Rauzy gasket is fractal

Pollicott, M.A.R.K. and Sewell, Benedict Adam (2024) An elementary proof that the Rauzy gasket is fractal. ERGODIC THEORY AND DYNAMICAL SYSTEMS. pp. 1-10. ISSN 0143-3857

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Official URL: https://doi.org/10.1017/etds.2023.66

Abstract

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

Item Type:	Article
Uncontrolled Keywords:	Hausdorff dimension; projective iterated function systems; Rauzy gasket; self-projective attractors;
Subjects:	Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor:	MTMT SWORD
Depositing User:	MTMT SWORD
Date Deposited:	03 Apr 2024 06:14
Last Modified:	03 Apr 2024 06:14
URI:	https://real.mtak.hu/id/eprint/191447

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