27 citations · 33 across the 10 of their papers we have counts for
4 papers · 1 filter
The roles of random boundary conditions in spin systems
Eric O. Endo, Aernout C. D. van Enter, Arnaud Le Ny
Random boundary conditions are one of the simplest realizations of quenched disorder. They have been used as an illustration of various conceptual issues in the theory of disordere…
Gibbs Measures for Long-Range Ising Models
Arnaud Le Ny
This review-type paper is based on a talk given at the conference {É}tats de la Recherche en M{é}canique statistique, which took place at IHP in Paris (December 10-14, 2018). We re…
-adic boundary laws and Markov chains on trees
A. Le Ny, L. Liao, U. A. Rozikov
In this paper we consider -state potential on general infinite trees with a nearest-neighbor -adic interactions given by a stochastic matrix. {We show the uniqueness of the a…
Dyson models under renormalization and in weak fields
R. Bissacot, E. O. Endo, A. C. D. van Enter +3
We consider one-dimensional long-range spin models (usually called Dyson models), consisting of Ising ferromagnets with slowly decaying long-range pair potentials of the form $\fra…