K. Leung

most citedConnectedness of planar self-affine sets associated with non-consecutive collinear digit sets

18 citations · 26 across the 4 of their papers we have counts for

collaborators

4 papers

math.GN2016

A characterization of connected self-affine fractals arising from collinear digits

King-Shun Leung, Jun Jason Luo

Let $A$ be an expanding integer matrix with characteristic polynomial $f (x) = x^{2} + p x + q$ , and let $D = {0, 1, \dots, ∣ q ∣ - 2, ∣ q ∣ + m} v$ be a collinear digit set where $m…

math.GN2012★ 1 cited

Connectedness of planar self-affine sets associated with non-collinear digit sets

King-Shun Leung, Jun Jason Luo

We study the connectedness of the planar self-affine sets $T (A, D)$ generated by an integer expanding matrix $A$ with $∣ det (A) ∣ = 3$ and a non-collinear digit set ${\math…

math.MG2012★ 7 cited

Boundaries of Disk-like Self-affine Tiles

King-Shun Leung, Jun Jason Luo

Let $T := T (A, D)$ be a disk-like self-affine tile generated by an integral expanding matrix $A$ and a consecutive collinear digit set $D$ , and let $f(x)=x^{2}…

math.GN2012★ 18 cited

Connectedness of planar self-affine sets associated with non-consecutive collinear digit sets

King-Shun Leung, Jun Jason Luo

In the paper, we focus on the connectedness of planar self-affine sets $T (A, D)$ generated by an integer expanding matrix $A$ with $∣ det (A) ∣ = 3$ and a collinear digit s…