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… (More)

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2017

2017

- Holger Kunz, B. Souillard, PHYSIQUE UBTTRBS
- 2017

2014 We present exact results concerning the localization transition on the Bethe lattice. In a certain number of situations, we… (More)

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2008

2008

We consider the single-spin-flip dynamics of the random-field Ising model on a Bethe lattice at zero temperature in the presence… (More)

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2005

2005

- Constantinos Daskalakis, Elchanan Mossel, Sébastien Roch
- ArXiv
- 2005

One of the major tasks of evolutionary biology is the reconstruction of phylogenetic trees from molecular data. The evolutionary… (More)

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2004

2004

- Graham R. Brightwell, Peter Winkler
- Random Struct. Algorithms
- 2004

We determine the approximate value of a critical activity for the hard-core model on the Bethe lattice, which determines whether… (More)

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2004

2004

We calculate thermal transport in the Falicov-Kimball model on an infinite-coordination-number Bethe lattice. We perform… (More)

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2004

2004

We discuss analytical approximation schemes for the dynamics of diluted spin models. The original dynamics of the complete set of… (More)

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1997

1997

- Nerses S. Ananikian, Sarkis K. Dallakian, B. Hu
- Complex Systems
- 1997

The Q-state Potts model on the Bethe lattice is investigated for Q < 2. The magnetization of this model exhibits complicated… (More)

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1996

1996

We give the exact solution to the problem of a random walk on the Bethe lattice through a mapping on an asymmetric random walk on… (More)

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1996

1996

- Abel Klein
- 1996

The spreading of wave packets evolving under the Anderson Hamiltonian on the Bethe Lattice is studied for small disorder. The… (More)

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1987

1987

- James P. Sethna
- 1987

We present results of a rigorous analysis of the k J king spin glass on the Bethe lattice with uncorrelated boundary conditions… (More)

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