On the dimension of triangular self-affine sets
Bal\'azs B\'ar\'any, Micha{\l} Rams, K\'aroly Simon
TL;DR
This paper investigates the dimensional properties of a specific class of self-affine fractals generated by triangular iterated function systems, extending previous research to better understand their geometric complexity.
Contribution
It advances the understanding of the dimension theory for diagonally homogeneous triangular self-affine sets, building on prior work by the authors.
Findings
Established new dimension formulas for these self-affine sets
Extended previous results to a broader class of triangular IFS
Provided insights into the geometric structure of self-affine fractals
Abstract
As a continuation of a recent work of the same authors (arXiv:1504.07138), in this note we study the dimension theory of diagonally homogeneous triangular planar self-affine IFS.
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