Stability of iterated function systems on the circle
Tomasz Szarek , Anna Zdunik
AbstractWe prove that any Iterated Function System of circle homeomorphisms with at least one of them having dense orbit, is asymptotically stable. The corresponding Perron–Frobenius operator is shown to satisfy the e‐property, that is, for any continuous function its iterates are equicontinuous. The Strong Law of Large Numbers for trajectories starting from an arbitrary point for such function systems is also proved.
|Journal series||Bulletin of the London Mathematical Society, ISSN 0024-6093|
|Publication size in sheets||0.65|
|Score|| = 30.0, 20-12-2017, ArticleFromJournal|
= 30.0, 20-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 0.707 (2) - 2016=0.753 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.