In this paper we complete the analysis of a statistical mechanics model on Cayley trees of any degree, started in [EsHaRo12, EsRo10, BoEsRo13, JaKuBo14, Bo17]. The potential is of nearest-neighbor type and the local state space is compact but uncountable. Based on the system parameters we prove existence of a critical value θ c such that for θ≤θ c there is a unique translation-invariant splitting Gibbs measure. For θ c < θ there is a phase transition with exactly three translation-invariant splitting Gibbs measures. The proof rests on an analysis of fixed points of an associated non-linear Hammerstein integral operator for the boundary laws
We consider simple version of the Blume-Emery-Griffiths model on the Cayley tree and investigate the...
We consider an interaction of the nearest-neighbors and next nearest-neighbors for the mixed type p-...
We consider models of classical statistical mechanics satisfying natural stability conditions: a fin...
In this paper we complete the analysis of a statistical mechanics model on Cayley trees of any degre...
The paper concerns the q-state Potts model (i.e. with spin values in {1, . . . , q}) on a Cayley tre...
We consider a nearest-neighbor Potts model, with countable spin values 0, 1, . . .,and non zero exte...
AbstractWe consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ...
International audienceWe consider translation-invariant splitting Gibbs measures (TISGMs) for the q-...
We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the orde...
We consider a nearest-neighbor hard-core model, with three states, on a homogeneous Cayley tree of o...
In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-nei...
We consider the p-adic Ising–Vannimenus model on the Cayley tree of order k = 2. This model contains...
12International audienceWe study the Ising model on a Cayley tree. A wide class of new Gibbs states ...
In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayl...
In this paper, the λ-model with nearest neighbor interactions is considered with competing Potts int...
We consider simple version of the Blume-Emery-Griffiths model on the Cayley tree and investigate the...
We consider an interaction of the nearest-neighbors and next nearest-neighbors for the mixed type p-...
We consider models of classical statistical mechanics satisfying natural stability conditions: a fin...
In this paper we complete the analysis of a statistical mechanics model on Cayley trees of any degre...
The paper concerns the q-state Potts model (i.e. with spin values in {1, . . . , q}) on a Cayley tre...
We consider a nearest-neighbor Potts model, with countable spin values 0, 1, . . .,and non zero exte...
AbstractWe consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ...
International audienceWe consider translation-invariant splitting Gibbs measures (TISGMs) for the q-...
We consider the λ model, a generalization of the Potts model, with spin values {1, 2, 3} on the orde...
We consider a nearest-neighbor hard-core model, with three states, on a homogeneous Cayley tree of o...
In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-nei...
We consider the p-adic Ising–Vannimenus model on the Cayley tree of order k = 2. This model contains...
12International audienceWe study the Ising model on a Cayley tree. A wide class of new Gibbs states ...
In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayl...
In this paper, the λ-model with nearest neighbor interactions is considered with competing Potts int...
We consider simple version of the Blume-Emery-Griffiths model on the Cayley tree and investigate the...
We consider an interaction of the nearest-neighbors and next nearest-neighbors for the mixed type p-...
We consider models of classical statistical mechanics satisfying natural stability conditions: a fin...