On the dimension of triangular self-affine sets

2016/09/13 by Bárány, Balázs, Rams, Michał, Simon, Károly · 1 citation
#28A78 #28A80 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1609.03914

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.

Cited by

• Variational principles for Hausdorff and packing dimensions of fractal percolation on self-affine sponges

Related

• Assouad dimension of planar self-affine sets
• Finer geometry of planar self-affine sets
• Dimension of diagonal self-affine sets and measures via non-conformal partitions
• On the dimension of self-affine sets and measures with overlaps
• On the dimension of planar self-affine sets with non-invertible maps