When $K=[0,1]$ Weak Separation Condition coincides Finite type Condition

Prabhjot Singh

When $K=[0,1]$ Weak Separation Condition coincides Finite type Condition

Dynamical Systems 2022-04-19 v4

Authors: Prabhjot Singh

Abstract

This study is about the Iterated Function System (IFS) of similarities on $\mathbb R$ that satisfies Weak Separation property (WSP). We explore if this implies Finite type property. We look into the most simple case with condition that closed interval [0,1] is an attractor of the IFS. The necessity of this condition is not strict but still unknown.

Keywords

weak convergence

Cite

@article{arxiv.2103.10364,
  title  = {When $K=[0,1]$ Weak Separation Condition coincides Finite type Condition},
  author = {Prabhjot Singh},
  journal= {arXiv preprint arXiv:2103.10364},
  year   = {2022}
}

Comments

arXiv admin note: This submission has been withdrawn by arXiv administrators due to inappropriate text overlap with external sources

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