4 citations · 8 across the 10 of their papers we have counts for
5 papers · 1 filter
On the cohomology of homshifts
Nishant Chandgotia, Silvère Gangloff, Benjamin Hellouin de Menibus +1
We study the cohomology of symbolic dynamical systems called homshifts: they are the nearest-neighbour shifts of finite type whose adjacency rules are the same in ev…
Undecidability of the block gluing classes of homshifts
Nishant Chandgotia, Silvère Gangloff, Benjamin Hellouin de Menibus +1
A homshift is a -dimensional shift of finite type which arises as the space of graph homomorphisms from the grid graph to a finite connected undirected graph .…
Short-range and long-range order: a transition in block-gluing behavior in Hom shifts
Silvere Gangloff, Benjamin Hellouin de Menibus, Piotr Oprocha
Hom shifts form a class of multidimensional shifts of finite type (SFT) and consist of colorings of the grid Z2 where adjacent colours must be neighbors in a fixed finite undirecte…
Characterizing Asymptotic Randomization in Abelian Cellular Automata
Benjamin Hellouin de Menibus, Ville Salo, Guillaume Theyssier
Abelian cellular automata (CA) are CA which are group endomorphisms of the full group shift when endowing the alphabet with an abelian group structure. A CA randomizes an initial p…
Characterisation of sets of limit measures after iteration of a cellular automaton on an initial measure
Benjamin Hellouin de Menibus, Mathieu Sablik
The asymptotic behavior of a cellular automaton iterated on a random configuration is well described by its limit probability measure(s). In this paper, we characterize measures an…