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Bethe lattice

Known as: Cayley tree, Lattice 
A Bethe lattice or Cayley tree (a particular kind of Cayley graph), introduced by Hans Bethe in 1935, is an infinite connected cycle-free graph where… 
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Related topics

Related topics

5 relations
Covering spaceFuchsian groupLattice model (physics)Percolation theory

Papers overview

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2016
2016
Functional equations for the Potts model with competing interactions on a Cayley tree
The Potts model is related to and generalized by several other models, including the XY model, the Heisenberg model and the N… 
2014
2014
NORMAL SUBGROUPS OF FINITE INDEX FOR THE GROUP REPRESENTATION OF THE CAYLEY TREE
In this paper we give full description of normal subgroups of index four and six for a group representation of the Cayley tree. 
2013
2013
Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree
For the Potts model with competing interactions, we describe the set of weakly periodic ground states corresponding to index-two… 
2012
2012
The Competing Interactions on a Cayley Tree-Like Lattice: Pentagonal Chandelier
Different types of lattice spin systems with competing interactions have rich and interesting phase diagrams. In this study we… 
2011
2011
Неединственность меры Гиббса для одной модели на дереве Кэли@@@Nonuniqueness of a Gibbs measure for a model on the Cayley tree
2011
2011
On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree
Abstract. In this paper we consider a nearest-neighbor p-adic hard core (HC) model, with fugacity λ, on a homogeneous Cayley tree… 
2005
2005
Critical Percolation on a Bethe Lattice Revisited
We introduce the model of independent percolation on general graphs with emphasis on the Bethe lattice, for which we prove the… 
1999
1999
О неупорядоченных фазах некоторых моделей на дереве Кэли@@@On unordered phases of certain models on a Cayley tree
1994
1994
The Mott-Hubbard transition an the D = infinity Bethe lattice
In view of a recent controversy we investigated the Mott-Hubbard transition in D=infinity with a novel cluster approach. i) We… 
1992
1992
Bethe Lattices in Hyperbolic Space
A recently suggested geometrical embedding of Bethe type lattices (branched polymers) in the hyperbolic plane is shown to be only…