Cantor type functions in non-integer bases

A. C. Lai; A. C. Lai; A. Rényi; C. Baiocchi; E. Hille; G. Cantor; G. Cantor; J. A. Eidswick; J. Paradís; K. Dajani; K. Dajani; L. Takács; M. Vries de; M. Vries de; M. Vries de; M. Vries de; N. Sidorov; N. Sidorov; P. Erdős; P. Erdős; P. Erdős; P. Loreti; R. Darst; R. Darst; V. Komornik; V. Komornik; V. Komornik; V. Komornik; V. Komornik; V. Komornik; V. Komornik; W. Parry; Y. Chitour; Z. Daróczy; Z. Daróczy

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Cantor type functions in non-integer bases

Abstract

Cantor's ternary function is generalized to arbitrary base-change functions in non-integer bases. Some of them share the curious properties of Cantor's function, while others behave quite differently

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