Local convergence of large random triangulations coupled with an Ising model

Pour le modele d'Ising avec spin S = & on a trouv6 que la catkgorie de complexions qui sont des arbres (graphes finis connexes sans cycles) fait une contribution

ρ-mixing case (Proof of Application 1 of Section 1). 4-5] for additive functionals. Exten- sion to general MRW is straightforward. Then Application 1 of Section 1 follows from

In [15], the authors have defined an annealed Ising model on random graphs and proved limit theorems for the magnetization of this model on some random graphs including random

The diluted mixed spin Ising system consisting of spin- 1 2 and spin-1 with a random field is studied by the use of the finite cluster approximation within the framework of

A theoretical study ofa mixed spin Ising system consisting ofspin-1=2 and spin-1 with a random !eld is studied by the use ofthe !nite cluster approximation within the framework

Our results are compatible with dimensional reduction being restored in five dimensions: We find that the critical exponents of the 5D RFIM are compatible to those of the pure 3D

If the reflected random walk is (positive or null) recurrent on C (x 0 ), then it follows of course from the basic theory of denumerable Markov chains that ν x 0 is the unique

For high values of the random field intensity we find that the energy probability distribution at the transition temperature is double peaked, suggesting that the phase transition