Bo Söderberg
Teaching staff
Bethe lattices in hyperbolic space
Author
Summary, in English
A recently suggested geometrical embedding of Bethe-type lattices (branched polymers) in the hyperbolic plane [R. Mosseri and J. F. Sadoc, J. Phys. Lett. 43, L249 (1982); J. A. de Miranda-Neto and F. Moraes, J. Phys. I. France 2, 1657 (1992)] is shown to be only a special case of a whole continuum of possible realizations that preserve some of the symmetries of the Bethe lattice. The properties of such embeddings are investigated and relations to Farey trees, devil's staircases, and Apollonian tiling are pointed out.
Department/s
- Department of Physics
Publishing year
1993
Language
English
Pages
4582-4584
Publication/Series
Physical Review E
Volume
47
Issue
6
Document type
Journal article
Publisher
American Physical Society
Topic
- Physical Sciences
Status
Published
ISBN/ISSN/Other
- ISSN: 1063-651X