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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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Papers overview

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2012
2012
Different types of lattice spin systems with competing interactions have rich and interesting phase diagrams. In this study we… 
2009
2009
We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on… 
2005
2005
We introduce the model of independent percolation on general graphs with emphasis on the Bethe lattice, for which we prove the… 
2001
2001
We solve for period-three ordered phases on the infinite-coordination Bethe lattice. The model we have chosen to analyze is the… 
2000
2000
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
We develop a transfer matrix method to compute exactly the spin-spin correlation functions $〈{s}_{0}{s}_{n}〉$ of Bethe lattice… 
1992
1992
A recently suggested geometrical embedding of Bethe type lattices (branched polymers) in the hyperbolic plane is shown to be only… 
1990
1990
We present results on two different problems: the Lyapunov exponent of large, sparse random matrices and the problem of polymers…