Self-similar dendrites generated by polygonal systems in the plane

Mary Samuel, Andrey V. Tetenov, Dmitry A. Vaulin

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We define a class of self-similar dendrites in ℝ2 generated by system S of similarity maps of a convex polygon P and find upper bound for the order of their ramification points, show that such dendrites are continua of bounded turning and prove Hölder continuity of their isomorphisms.

Original languageEnglish
Pages (from-to)737-751
Number of pages15
JournalСибирские электронные математические известия
Volume14
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Dendrite
  • Post-critically finite sets
  • Ramification point
  • Self-similar set
  • self-similar set
  • ramification point
  • dendrite
  • post-critically finite sets
  • SIMILAR SETS

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