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Bo Söderberg

Teaching staff

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Bethe lattices in hyperbolic space

Author

  • B. Söderberg

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