30 citations · 76 across the 10 of their papers we have counts for
5 papers · 1 filter
Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees
Loren Coquille, Christof Kuelske, Arnaud Le Ny
We consider -valued -SOS-models with nearest neighbor interactions of the form , and finite-spin ferromagnetic models on regular trees. This includes the…
Gradient Gibbs measures for the SOS model with countable values on a Cayley tree
F. Henning, C. Kuelske, A. Le Ny +1
We consider an SOS (solid-on-solid) model, with spin values from the set of all integers, on a Cayley tree of order k and are interested in translation-invariant gradient Gibbs mea…
Persistent random walks. II. Functional Scaling Limits
Peggy Cénac, Arnaud Le Ny, Basile De Loynes +1
We give a complete and unified description -- under some stability assumptions -- of the functional scaling limits associated with some persistent random walks for which the recurr…
Persistent random walks
Peggy Cénac, Basile De Loynes, Arnaud Le Ny +1
We consider a walker that at each step keeps the same direction with a probabilitythat depends on the time already spent in the direction the walker is currently moving. In this pa…
Range of a Transient 2d-Random Walk
Arnaud Le Ny
We study the range of a planar random walk on a randomly oriented lattice, already known to be transient. We prove that the expectation of the range grows linearly, in both the que…