Random Colorings of a Cayley Tree

@inproceedings{Brightwell2000RandomCO,
  title={Random Colorings of a Cayley Tree},
  author={Graham R. Brightwell},
  year={2000}
}
Probability measures on the space of proper colorings of a Cayley tree (that is, an in nite 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 lattice". We concentrate on a particularly nice class of such measures which remain invariant under parity-preserving automorphisms of the tree. Making use of a correspondence with branching random walks on… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 23 references

Probability measures and Hamiltonian models on Bethe lattices

  • F. Peruggi
  • I. Properties and construction of MRT probability…
  • 1984
Highly Influential
4 Excerpts

Countable state space Markov random elds and Markov chains on trees

  • S. Zachary
  • Ann. Probab. 11
  • 1983
Highly Influential
2 Excerpts

O

  • G. R. Brightwell
  • Haggstr om and P. Winkler, Nonmonotonic…
  • 1999
1 Excerpt

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