4 papers
Topological Mixing of Random Substitutions
Eden Miro, Dan Rust, Lorenzo Sadun +1
We investigate topological mixing of compatible random substitutions. For primitive random substitutions on two letters whose second eigenvalue is greater than one in modulus, we i…
Mixing properties and entropy bounds of a family of Pisot random substitutions
Giovanni B. Escolano, Neil Mañibo, Eden Delight Miro
We consider a two-parameter family of random substitutions and show certain combinatorial and topological properties they satisfy. We establish that they admit recognisable words a…
Zeckendorf representations and mixing properties of sequences
Neil Manibo, Eden Miro, Dan Rust +1
We use generalised Zeckendorf representations of natural numbers to investigate mixing properties of symbolic dynamical systems. The systems we consider consist of bi-infinite sequ…
Topology of the Random Fibonacci Tiling Space
Franz Gähler, Eden Provido
We look at the topology of the tiling space of locally random Fibonacci substitution, which is defined as a-->ba with probability p, a-->ab with probability 1-p and b-->a for 0<p<1…