5 papers · 1 filter
Two block gluing constructions
Ville Salo, Ilkka Törmä, Ilkka Törmä
We prove two existence results about block gluing in two-dimensional SFTs. First, a large class of functions between exponential and logarithmic can be realized as block gluing fun…
A Three-Dimensional SFT with Sparse Columns
Ville Salo, Ilkka Törmä
We construct a nontrivial three-dimensional subshift of finite type whose projective -subdynamics, or -trace, is 2-sparse, meaning that there are at most two nonzero symbol…
On Countable SFT Covers of Sparse Multidimensional Shift Spaces
Ilkka Törmä
A multidimensional sofic shift is called countably covered if it has an SFT cover containing only countably many configurations. In contrast to the one-dimensional setting, not all…
Symbol Frequencies in Surjective Cellular Automata
Benjamin Hellouin de Menibus, Ilkka Törmä, Ville Salo
We study the behavior of probability measures under iteration of a surjective cellular automaton. We solve the following question in the negative: if the initial measure is ergodic…
Limit dynamics of elementary cellular automaton 18
Hervé Sabrié, Ilkka Törmä
We study the the asymptotic dynamics of elementary cellular automaton 18 through its limit set, generic limit set and -limit set. The dynamics of rule 18 are characterized by p…