6 papers · 1 filter
Two block gluing constructions
Ville Salo, 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…
Periodic points and residual finiteness of automorphism groups of subshifts
Ville Salo
If totally periodic points are dense in a subshift , its automorphism group is residually finite. We show a weak converse: if periodic points are not dense in a subshift , th…
Avoshifts, Unishifts and Nondeterministic Cellular Automata
Ville Salo
In this paper, we study avoshifts and unishifts on . Avoshifts are subshifts where for each convex set , and each vector such that is also…
Nonexpansive chaotic almost minimal systems on residually finite groups
Ville Salo
The question of existence of nonexpansive chaotic almost minimal (CAM) systems, and the existence of CAM systems on every residually finite group, were raised in a recent paper of…
SFT covers for actions of the first Grigorchuk group
Rostislav Grigorchuk, Ville Salo
We study symbolic dynamical representations of actions of the first Grigorchuk group , namely its action on the boundary of the infinite rooted binary tree, its representation i…
Contractible subshifts
Leo Poirier, Ville Salo
We introduce the notion of a contractible subshift. This is a strengthening of the notion of strong irreducibility, where we require that the gluings are given by a block map. We s…