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20102025
most citedOn the chaos game of Iterated Function Systems

18 citations · 55 across the 10 of their papers we have counts for

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7 papers · 1 filter

math.DS2021

Geometric Structure and Ergodic Properties of Bony Multi-Graphs

M. Rabiee, F. H. Ghane, M. Zaj

The main goal in this paper is to describe the geometric structure of invariant graphs of a certain class of skew products. Our focus is on attracting multi-graphs. An invariant mu…

math.DS2018★ 2 cited

On topological entropy and topological pressure of non-autonomous iterated function systems

J. Nazarian Sarkooh, F. H. Ghane

In this paper we introduce the notions of topological entropy and topological pressure for non-autonomous iterated function systems (or NAIFSs for short) on countably infinite alph…

math.DS2018★ 4 cited

Invariant Graphs for Chaotically Driven Maps

Sara Fadaei, Gerhard Keller, Fatemeh H. Ghane

This paper investigates the geometrical structures of invariant graphs of skew product systems of the form driven by a hype…

math.DS2017★ 1 cited

Specification and Thermodynamic Properties of Topological Time-Dependent Dynamical Systems

J. Nazarian Sarkooh, F. H. Ghane

This paper discusses the thermodynamic properties for certain time-dependent dynamical systems. In particular, we are interested in time-dependent dynamical systems with the specif…

math.DS2016★ 13 cited

Sensitivity of iterated function systems

F. H. Ghane, E. Rezaali, A. Sarizadeh

The present work is concerned with the eqiucontinuity and sensitivity of iterated function systems (IFSs). Here, we consider more general case of IFSs, i.e. the IFSs generated by a…

math.DS2015★ 18 cited

On the chaos game of Iterated Function Systems

Pablo G. Barrientos, F. H. Ghane, Dominique Malicet +1

Every quasi-attractor of an iterated function system (IFS) of continuous functions on a first-countable Hausdorff topological space is renderable by the probabilistic chaos game. B…