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Bo Söderberg
Lärare
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Bethe lattices in hyperbolic space
Författare
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.
Avdelning/ar
- Fysiska institutionen
Publiceringsår
1993
Språk
Engelska
Sidor
4582-4584
Publikation/Tidskrift/Serie
Physical Review E
Volym
47
Issue
6
Dokumenttyp
Artikel i tidskrift
Förlag
American Physical Society
Ämne
- Physical Sciences
Aktiv
Published
ISBN/ISSN/Övrigt
- ISSN: 1063-651X