2 papers
math.PR2026
Super-Arrhenius relaxation of the triangular plaquette model in any dimension
Laurent Bartholdi, Ivailo Hartarsky, Ivan Mitrofanov
Consider the following plaquette model from statistical physics: a lamp lies at every vertex of the triangular lattice and a switch lies at every even vertex of the (bipartite) dua…
math.GR2026
Automatic actions I. Bounded automata and orbits
Laurent Bartholdi
We develop the theory of "automatic actions": (semi)groups acting by -regular transformations on an -regular language, showing that it covers a large class of heretofore-unre…