University of Isfahan Mathematics and Society 2345-6493 1 3 2000 03 23 What is a rauzy fractal? What is a rauzy fractal? 39 43 10023 10.22108/msci.2016.10023 FA Saeid Alikhani University of Yazd Ali Noroozi University of Yazd Journal Article 1970 01 01 This paper is a translation of the the following paper into Persian: [P. Arnoux and E. Harriss, What is a Rauzy fractal?, Notice of the AMS, 61 no. 7 (2014) 768-770.] According to an ancient tradition, it is possible to associate symbolic and infinite words with dynamical systems. Conversely, for infinite words generated by algebraic or combinatorial methods, it is possible to provide geometric representations, which can be a family of self-similar sets with fractal boundaries. As an example, in this article, we study fractals called Rauzy fractals. This paper is a translation of the the following paper into Persian: [P. Arnoux and E. Harriss, What is a Rauzy fractal?, Notice of the AMS, 61 no. 7 (2014) 768-770.] According to an ancient tradition, it is possible to associate symbolic and infinite words with dynamical systems. Conversely, for infinite words generated by algebraic or combinatorial methods, it is possible to provide geometric representations, which can be a family of self-similar sets with fractal boundaries. As an example, in this article, we study fractals called Rauzy fractals.

https://math-sci.ui.ac.ir/article_10023_fbaf67c5de68b311409e8dc1e51469e9.pdf