9 citations · 9 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Growth Series and Random Walks on Some Hyperbolic Graphs
Laurent Bartholdi, Tullio G. Ceccherini-Silberstein
Consider the tesselation of the hyperbolic plane by m-gons, l per vertex. In its 1-skeleton, we compute the growth series of vertices, geodesics, tuples of geodesics with common ex…