TWO GROUPS ASSOCIATED WITH QUADRATIC PISOT UNITS

DOI10.1142/S0218196702001188zbMath1055.20048OpenAlexW2039905550MaRDI QIDQ3043640

Jacques Sakarovitch, Christiane Frougny

Publication date: 6 August 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196702001188

zbMATH Keywords

groupscongruencesnumeration systemsrewriting systemssymbolic dynamical systemscross-sectionsquadratic Pisot units

Mathematics Subject Classification ID

Semigroups in automata theory, linguistics, etc. (20M35) Grammars and rewriting systems (68Q42) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Other number representations (11A67)

Related Items (1)

Circular words and three applications: factors of the Fibonacci word, \(\mathcal F\)-adic numbers, and the sequence \(1, 5, 16, 45, 121, 320,\dots\)

Cites Work

• How to write integers in a non-integral basis
• Bijective arithmetic codings of hyperbolic automorphisms of the \(2\)-torus, and binary quadratic forms
• Finite beta-expansions
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Systems of Numeration
• Beta-integers as natural counting systems for quasicrystals
• AUTOMATIC CONVERSION FROM FIBONACCI REPRESENTATION TO REPRESENTATION IN BASE φ, AND A GENERALIZATION

This page was built for publication: TWO GROUPS ASSOCIATED WITH QUADRATIC PISOT UNITS