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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… Expand
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Papers overview

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2018
2018
Abstract We develop a novel analytical approach to the problem of single particle localization in infinite dimensional spaces… Expand
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2010
2010
We consider random dynamics on the edges of a uniform Cayley tree with $n$ vertices, in which edges are either inflammable… Expand
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2007
2007
In this paper we consider the countable state p-adic Potts model on the Cayley tree. A construction of p-adic Gibbs measures… Expand
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Highly Cited
2006
Highly Cited
2006
The urban road networks of the 20 largest German cities have been analysed, based on a detailed database providing the… Expand
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2005
2005
In the present paper the Ising model with competing binary (J) and binary (J1) interactions with spin values ±1, on a Cayley tree… Expand
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Highly Cited
2001
Highly Cited
2001
Abstract:So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is… Expand
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Highly Cited
2001
Highly Cited
2001
In an important recent paper, Yedidia, Freeman, and Weiss [7] showed that there is a close connection between the belief… Expand
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Highly Cited
1998
Highly Cited
1998
Abstract We prove that the Anderson Hamiltonian H λ =− Δ + λV on the Bethe lattice has “extended states” for small disorder. More… Expand
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Highly Cited
1990
Highly Cited
1990
The authors study Bak, Tang and Wiesenfeld's Abelian sandpile model (1987) of self-organised criticality on the Bethe lattice… Expand
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1984
1984
Percolation properties, including the total cluster mass S, the shell mass B, and the linear geometrical size R, are studied as a… Expand
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