A class of new invariant surfaces under the trace maps for nary Fibonacci lattices

DOI10.1063/1.530647zbMath0875.82028OpenAlexW2039042656MaRDI QIDQ4298608

Kazumoto Iguchi

Publication date: 8 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530647

zbMATH Keywords

Schrödinger operatorsubstitution schemedynamical map

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of dynamical systems (37N99) Discrete version of topics in analysis (39A12) Automata sequences (11B85)

Related Items (2)

Trace maps of general Padovan lattices ⋮ Curves of period two points for trace maps

Cites Work

• The spectrum of a quasiperiodic Schrödinger operator
• Ternary forms as invariants of Markoff forms and other \(SL_2(\mathbb{Z})\)- bundles
• Equivalence between the Nielsen and the scaling transformations in one-dimensional quasiperiodic systems
• Quasiperiodic systems without Cantor-set-like energy bands
• Characters of free groups represented in the two‐dimensional special linear group
• Trace maps for arbitrary substitution sequences

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