On theβ-expansions of real numbers

1960/09/01 by William Parry, W. Parry · 9 citations
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Mathematical Dynamics and Fractals #Mathematics #semigroups and automata theory

paper · doi:10.1007/bf02020954

crossref issued 1960/09/01 · crossref published 1960/09/01 · crossref published-print 1960/09/01 · openalex publication_date 1960/09/01 · crossref created 2005/08/05 · crossref deposited 2019/05/14 · openalex created_date 2025/10/10 · crossref indexed 2026/07/07 · openalex updated_date 2026/07/07

Citations

• Representations for real numbers and their ergodic properties

Cited by

• How to write integers in non-integer base
• Beta-integers as natural counting systems for quasicrystals
• Unique Representations of Real Numbers in Non-Integer Bases
• The β-transformation with a hole
• Isomorphisms between positive and negative -transformations
• On the specification property and synchronization of uniqueq-expansions
• The Ruelle operator for symmetric β-shifts
• Asymptotic Behavior of Beta-Integers
• Non-integer base of numeration [wikipedia]