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Results 1 - 10
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236
Lattice Vibration of the Cayley Tree
, 1977
"... Vibrational properties of a Cayley-tree-type system are investigated: Normal modes and squared frequency spectral densities are calculated for infinite homogeneous monatomic and diatomic Cayley trees. Effect of an impurity is then investigated. Existence of a virtual localized mode is thereby discus ..."
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Vibrational properties of a Cayley-tree-type system are investigated: Normal modes and squared frequency spectral densities are calculated for infinite homogeneous monatomic and diatomic Cayley trees. Effect of an impurity is then investigated. Existence of a virtual localized mode is thereby
ZEBRA-PERCOLATION ON CAYLEY TREES
"... Abstract. We consider Bernoulli (bond) percolation with parameter p on the Cayley tree of order k. We introduce the notion of zebra-percolation that is percolation by paths of alternating open and closed edges. In contrast with standard percolation with critical threshold at pc = 1/k, we show that z ..."
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Abstract. We consider Bernoulli (bond) percolation with parameter p on the Cayley tree of order k. We introduce the notion of zebra-percolation that is percolation by paths of alternating open and closed edges. In contrast with standard percolation with critical threshold at pc = 1/k, we show
Euler Walk on a Cayley Tree.
, 706
"... Abstract. We describe two possible regimes (dynamic phases) of the Euler walk on a Cayley tree: a condensed phase and a low-density phase. In the condensed phase the area of visited sites grows as a compact domain. In the low-density phase the proportion of visited sites decreases rapidly from one g ..."
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Abstract. We describe two possible regimes (dynamic phases) of the Euler walk on a Cayley tree: a condensed phase and a low-density phase. In the condensed phase the area of visited sites grows as a compact domain. In the low-density phase the proportion of visited sites decreases rapidly from one
The Heisenberg Model on the Cayley Tree*>
, 1975
"... The ferromagnetic Heisenberg model on the finite most symmetrical Cayley tree is studied in the limit of large size. The spectrum and wavefunctions of the single-magnon states are obtained rigorously. They have many unusual properties. The magnon.density excited as a whole at infinitesimal temperatu ..."
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The ferromagnetic Heisenberg model on the finite most symmetrical Cayley tree is studied in the limit of large size. The spectrum and wavefunctions of the single-magnon states are obtained rigorously. They have many unusual properties. The magnon.density excited as a whole at infinitesimal
Random Colorings of a Cayley Tree
- IN CONTEMPORARY COMBINATORICS, B. BOLLOBAS, ED., BOLYAI SOCIETY MATHEMATICAL STUDIES, 2002
, 2000
"... Probability measures on the space of proper colorings of a Cayley tree (that is, an infinite regular connected graph with no cycles) are of interest not only in combinatorics but also in statistical physics, as states of the antiferromagnetic Potts model at zero temperature, on the "Bethe latti ..."
Abstract
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Cited by 22 (1 self)
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Probability measures on the space of proper colorings of a Cayley tree (that is, an infinite regular connected graph with no cycles) are of interest not only in combinatorics but also in statistical physics, as states of the antiferromagnetic Potts model at zero temperature, on the "
Harmonic analysis on perturbed Cayley trees
- J. Func. Anal
"... Abstract. We study some spectral properties of the adjacency operator of non homogeneous networks. The graphs under investigation are obtained by adding density zero perturbations to the homogeneous Cayley Trees. Apart from the natural mathematical meaning, such spectral properties are relevant for ..."
Abstract
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Cited by 2 (1 self)
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Abstract. We study some spectral properties of the adjacency operator of non homogeneous networks. The graphs under investigation are obtained by adding density zero perturbations to the homogeneous Cayley Trees. Apart from the natural mathematical meaning, such spectral properties are relevant
ON GROUND STATES OF ROZIKOV MODEL ON THE CAYLEY TREE
, 903
"... Abstract. In this paper we consider a model on a Cayley tree which has a finite radius ..."
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Abstract. In this paper we consider a model on a Cayley tree which has a finite radius
Results 1 - 10
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236
