Keywords
- Lebesgue Measure
- Riemann Zeta Function
- Ergodic Measure
- Bernoulli Shift
- Bernoulli Measure
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References
J. C. Alexander and J. A. Yorke, Fat baker’s transformations, Ergoidc Theory Dynamical Systems 4 (1984), 1–23.
P. Erdös, On a family of symmetric Bernoulli convolutions, Amer. J. Math. 61 (1939), 974–976.
_____, On the smoothness properties of a family of Bernoulli convolutions, Amer. J. Math. 62 (1940), 180–186.
A. M. Garsia, Arithmetic properties on Bernoulli convolutions, Trans. Amer. Math. Soc. 102 (1962), 409–432.
A. O. Gel’fond, A common property of number systems, Izv. Akad. Nauk SSSR Ser. Mat. 23 (1959), 809–814.
B. Jessen and A. Wintner, Distribution functions and the Riemann zeta function, Trans. Amer. Math. Soc. 28 (1938), 48–88.
J. P. Kahane, Sur la distribution de certaines series aleatoires, Bull. Soc. Math. France 25 (1971), 119–122.
D. S. Ornstein, Two Bernoulli shifts with the same entropy are isomorphic, Adv. in Math. 4 (1970), 337–352.
_____, Factors of Bernoulli shifts are Bernoulli shifts, Adv. in Math. 5 (1970), 349–364.
W. Parry, On the β-expansions of real number, Acta Math. Sci. Acad. Hungar. 11 (1960), 401–416.
_____, Entropy and Generators in Ergodic Theory, Mathematics Lecture Notes Series, W. A. Benjamin, New York, NY-Amsterdam, 1969.
A. Rényi, Representations for real numbers and their ergodic properties, Acta Math. Sci. Acad. Hungar. 8 (1957), 477–493.
R. Salem, Algebraic Numbers and Fourier Analysis, Heath, 1963.
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© 1988 Springer-Verlag
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Alexander, J.C., Parry, W. (1988). Discerning fat Baker’s transformations. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082820
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DOI: https://doi.org/10.1007/BFb0082820
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