Articles by Benjamin Hellouin de Menibus
Asymptotic behaviour of cyclic automata
summary: Cyclic dominance describes models where different states (species, strategies...) are in some cyclic prey-predator relationship: for example, rock-paper-scissors. This occurs in many contexts such as ecological systems, evolutionary games on graphs, etc. Many models exhibit heteroclinic cycles where one state dominates almost the whole space before being replaced by ...
The Domino problem on rhombus-shaped tiles.
summary: The word tiling is a name for several models: geometrical tilings, where you tile the plane with geometrical shapes like a jigsaw puzzle; and symbolic tilings, where you tile the plane while matching colors on the edges of tiles. You can use both kinds of constraints; a well-known example ...
Block gluing in Hom shifts and path reconfiguration in graphs
summary: We study some tilings spaces that are defined from graph homomorphisms, called Hom shifts. Compared to general tiling spaces, they look the same in every direction (invariance by rotation and symmetry) and many undecidable problems or questions in tiling spaces seem to become easier for these objects, using graph-theoretical ...