AN ITERATED FUNCTION SYSTEM FOR THE CLOSURE OF THE ADDING MACHINE GROUP

作者：Saltan Mustafa^*; Demir Bunyamin

来源：Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 2015, 23(3): 1550033.

DOI：10.1142/S0218348X15500334

• p-ary Adding Machine
• Automorphism Group
• Fixed-Point Theorem
• Iterated Function System

In this paper, first we equip the automorphism group of the p-ary rooted tree X* with a natural metric and define a family of contractions on Aut(X*). Then, we construct an iterated function system (IFS) whose attractor is the closure of the adding machine group on Aut(X*). Finally, we show that this group is a strong self-similar group in the sense of IFS.

• 出版日期2015-9