Jun Luo

activity

20122016

most citedSpectral property of self-affine measures on

R^{n}

35 citations · 50 across the 6 of their papers we have counts for

collaborators

6 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.GN2016★ 4 cited

Connectedness of self-affine sets with product digit sets

Jing-Cheng Liu, Jun Jason Luo, Ke Tang

Let $T (A, D)$ be a self-affine set generated by an expanding matrix $A = [p - a 0 q]$ and a product digit set $\mathcal{D}=\{0…

math.CA2016★ 35 cited

Spectral property of self-affine measures on $R^{n}$

Jing-Cheng Liu, Jun Jason Luo

We study spectral properties of the self-affine measure $μ_{M, D}$ generated by an expanding integer matrix $M \in M_{n} (Z)$ and a consecutive collinear digit set $…

math.DS2014★ 10 cited

On the connectedness of planar self-affine sets

Jing-Cheng Liu, Jun Jason Luo, Heng-Wen Xie

In this paper, we consider the connectedness of planar self-affine set $T (A, D)$ arising from an integral expanding matrix $A$ with characteristic polynomial $f(x)=x^2+bx+…

math.GN2014

On the classification of fractal squares

Jun Jason Luo, Jing-Cheng Liu

In \cite{LaLuRa13}, the authors completely classified the topological structure of so called {\it fractal square} $F$ defined by $F = (F + D) / n$ , where ${\mathcal{D}}\subset…

math.GN2012★ 1 cited

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