Symbolic dynamics for β-shifts and self-normal numbers

Ergodic Theory and Dynamical Systems

Volumn 17, Issue 3, 1997, Pages 675-694

  Schmeling, Jörg ^a  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

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[No Author keywords available]

Indexed keywords

EID: 0000561288     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385797079182     Document Type: Article

References (10)

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2. F. Blanchard. β-expansions and symbolic dynamics. Theor. Comp. Sci. 65 (1989), 131-141.
3. W. Parry. On the β-expansion of real numbers. Acta Math. Acad. Sci. Hung. 11 (1960), 401-416.
4. F. Hofbauer. β-shifts have unique maximal measure. Monatshefte Math. 85 (1978), 189-198.
5. n). Bull. Soc. Math. Fr. 114 (1986), 271-324.
6. M. Denker, C. Grillenberger and K. Sigmund. Ergodic Theory on Compact Spaces (Lect. Notes in Math. 527). Springer, Berlin, 1976.
7. Ya. B. Pesin. Dimension-like characteristics for invariant sets of dynamical systems. Uspekhi Mat. Nauk 43 (1988), 95-128 (in Russian).
8. R. L. Adler, A. G. Konheim and M. H. MacAndrew. Topological entropy. TAMS 114 (1965), 309-319.
9. F. Schweiger. Normalität bezüglich zahlentheoretischer transformationen. J. Number Th. 1 (1969), 330-397.
10. K. J. Falconer. The Geometry of Fractal Sets. Cambridge University Press, 1985.