Equivalence between the Nielsen and the scaling transformations in one-dimensional quasiperiodic systems

DOI10.1063/1.530039zbMath0789.20052OpenAlexW2028349070MaRDI QIDQ3141353

Kazumoto Iguchi

Publication date: 12 December 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530039

zbMATH Keywords

trace mapNielsen transformationsscaling transformationsquasiperiodic lattices

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Other geometric groups, including crystallographic groups (20H15)

Related Items (2)

A class of new invariant surfaces under the trace maps for nary Fibonacci lattices ⋮ Minimum-dimension trace maps for substitution sequences

Cites Work

• The geometry of Markoff numbers
• Ternary forms as invariants of Markoff forms and other \(SL_2(\mathbb{Z})\)- bundles
• Scaling properties of a structure intermediate between quasiperiodic and random.
• Quasiperiodic systems without Cantor-set-like energy bands
• Characters of free groups represented in the two‐dimensional special linear group

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