On the dimension of triangular self-affine sets

BALÁZS BÁRÁNY, MICHAŁ RAMS, K. Simon

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

As a continuation of a recent work [Bárány et al, On the dimension of self-affine sets and measures with overlaps. Proc. Amer. Math. Soc. 144 (2016) 4427–4440] of the same authors, in this note we study the dimension theory of diagonally homogeneous triangular planar self-affine iterated function systems.

Original languageEnglish
Pages (from-to)1-33
Number of pages33
JournalErgodic Theory and Dynamical Systems
DOIs
Publication statusAccepted/In press - Nov 28 2017

Fingerprint

Self-affine
Triangular
Dimension Theory
Affine Systems
Iterated Function System
Continuation
Overlap

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On the dimension of triangular self-affine sets. / BÁRÁNY, BALÁZS; RAMS, MICHAŁ; Simon, K.

In: Ergodic Theory and Dynamical Systems, 28.11.2017, p. 1-33.

Research output: Contribution to journalArticle

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