References
Gelfond, A. O.,On a General Property of Number Systems (Russian), Izv. Akad. Nauk SSSR23, 809–814 (1959).
Misiurewicz, M.,On Expanding Maps of Compact Manifolds and Local Homeomorphisms of a Circle, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.18, 725–732 (1970).
Parry, W.,On the β-expansions of Real Numbers, Acta Math. Acad. Sci. Hungar.11, 401–416 (1960).
Parry, W.,Symbolic Dynamics and Transformations of the Unit Interval, Trans. Amer. Matb. Soc.122, 368–378 (1966).
Rényi, A.,Representation for Real Numbers and Their Ergodic Properties, Acta Math. Acad. Sci. Hungar.8, 477–493 (1957).
Ulam, S. M.,A Collection of Mathematical Problems (Interscience Publishers, Inc., New York 1960).
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Lasota, A. Invariant measures and functional equations. Aeq. Math. 9, 193–200 (1973). https://doi.org/10.1007/BF01832626
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DOI: https://doi.org/10.1007/BF01832626