3 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-un…
math.DS2025
Correspondences on Riemann surfaces and non-uniform hyperbolicity
Laurent Bartholdi, Dzmitry Dudko, Kevin M. Pilgrim
We consider certain correspondences on a Riemann surface, and show that they admit a weak form of hyperbolicity: sufficiently long loops get shorter under lifting at a fixed point…