27 citations · 35 across the 12 of their papers we have counts for
13 papers
Markov and almost Markov properties in one, two or more directions
Aernout van Enter, Arnaud Le Ny, Frédéric Paccaut
In this review-type paper written at the occasion of the Oberwolfach workshop {\em One-sided vs. Two-sided stochastic processes} (february 22-29, 2020), we discuss and compare Mark…
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…
Parsimonious Description of Generalized Gibbs Measures : Decimation of the 2d-Ising Model
Arnaud Le Ny
In this paper, we detail and complete the existing characterizations of the decimation of the Ising model on in the generalized Gibbs context. We first recall a few features…