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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… 
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… 
2009
2009
Different orderings in the narrow-band limit of the extended Hubbard model on the Bethe lattice
AbstractWe present the exact solution of a system of Fermi particles living on the sites of a Bethe lattice with coordination… 
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… 
2001
2001
Higher period ordered phases on the Bethe lattice
We solve for period-three ordered phases on the infinite-coordination Bethe lattice. The model we have chosen to analyze is the… 
2000
2000
On disordered phase in the ferromagnetic Potts model on the Bethe lattice
where the sum is taken over all pairs of the nearest neighbors (jc, >>), 0. P. M. Bleher [1] proved that the disordered Phase in… 
1999
1999
О неупорядоченных фазах некоторых моделей на дереве Кэли@@@On unordered phases of certain models on a Cayley tree
1998
1998
Exact correlation functions of Bethe lattice spin models in external magnetic fields
We develop a transfer matrix method to compute exactly the spin-spin correlation functions $〈{s}_{0}{s}_{n}〉$ of Bethe lattice… 
1990
1990
Lyapunov exponents of large, sparse random matrices and the problem of directed polymers with complex random weights
We present results on two different problems: the Lyapunov exponent of large, sparse random matrices and the problem of polymers… 
1982
1982
The Effective Spin Hamiltonian and Phase Separation Instability of the Almost Half-Filled Hubbard Model and Narrow-Band {\it S-f} Model
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