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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

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
On Quantum Markov Chains on Cayley Tree III: Ising Model
In this paper, we consider the classical Ising model on the Cayley tree of order $$k$$k ($$k\ge 2$$k≥2), and show the existence… 
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
Quantum Markov fields on graphs
We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on… 
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… 
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… 
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… 
Highly Cited
1983
Highly Cited
1983
The localization transition on the Bethe lattice
We present exact results concerning the localization transition on the Bethe lattice. In a certain number of situations, we prove… 
1982
1982
Exact Solution of a Model of Localization
The exact solution is presented for the "susceptibility," χ (the number of sites covered by the maximally extended eigenfunction… 
1976
1976
Effective surface potential method for calculating surface states
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