An arithmetic group associated with a Pisot unit, and its symbolic-dynamical representation

DOI10.4064/AA101-3-1zbMath0988.11051arXivmath/9912194OpenAlexW2022270316MaRDI QIDQ2773331

Nikita Sidorov

Publication date: 21 February 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912194

zbMATH Keywords

Pisot numbersuniqueness conjecture

Mathematics Subject Classification ID

Symbolic dynamics (37B10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (6)

Dynamical directions in numeration ⋮ Circular words and three applications: factors of the Fibonacci word, \(\mathcal F\)-adic numbers, and the sequence \(1, 5, 16, 45, 121, 320,\dots\) ⋮ New directions in algebraic dynamical systems ⋮ Purely periodic \(\beta \)-expansions in the Pisot non-unit case ⋮ Symbolic Representations and ${\mathbb T}^n$ Automorphisms ⋮ Symbolic representations of nonexpansive group automorphisms

This page was built for publication: An arithmetic group associated with a Pisot unit, and its symbolic-dynamical representation