Accessibility on iterated function systems

Author:

Mohtashamipour Maliheh1,Zamani Bahabadi Alireza1

Affiliation:

1. Department of Pure Mathematics , Ferdowsi University of Mashhad , Mashhad , Iran

Abstract

Abstract In this paper, we define accessibility on an iterated function system (IFS) and show that it provides a sufficient condition for the transitivity of this system and its corresponding skew product. Then, by means of a certain tool, we obtain the topologically mixing property. We also give some results about the ergodicity and stability of accessibility and, further, illustrate accessibility by some examples.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference22 articles.

1. A. Z. Bahabadi, Shadowing and average shadowing properties for iterated function systems, Georgian Math. J. 22 (2015), no. 2, 179–184.

2. P. G. Barrientos, A. Fakhari, D. Malicet and A. Sarizadeh, Expanding actions: Minimality and ergodicity, Stoch. Dyn. 17 (2017), no. 4, Article ID 1750031.

3. M. I. Brin and J. B. Pesin, Partially hyperbolic dynamical systems (in Russian), Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974), 170-212

4. translation in Math. USSR-Izv. 8 (1974), no. 1, 177-218.

5. K. Burns, D. Dolgopyat and Y. Pesin, Partial hyperbolicity, Lyapunov exponents and stable ergodicity, J. Statist. Phys. 108 (2002), no. 5–6, 927–942.

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