1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DS2016★ 1 cited
Topology of a class of -crystallographic replication tiles
Benoît Loridant, Shu-qin Zhang
We study the topological properties of a class of planar crystallographic replication tiles. Let be an expanding matrix with characteristic polynomial $…
math.GN2014
On cut sets of attractors of iterated function systems
Benoît Loridant, Jun Luo, Tarek Sellami +1
In this paper, we study cut sets of attractors of iteration function systems (IFS) in . Under natural conditions, we show that all irreducible cut sets of these attra…
math.DS2014★ 1 cited
Topological properties of a class of cubic Rauzy fractals
Benoît Loridant
We consider the substitution defined by $$\begin{array}{rlcl} σ_{a,b}: & 1 & \mapsto & \underbrace{1\ldots 1}_{a}2 \\ & 2 & \mapsto & \underbrace{1\ldots 1}_{b}3 \\ & 3 &…